Commit 1854556d by Aditya Vijaykumar

added first set of files; copied text from flatiron research summary

parent 4a4c255d
% JHEP bibliography style ver. 2.11
%
% The bibtex output produced by inSPIRE, while far from perfect, is pretty
% suitable for use with this style. Indeed, this style was designed with
% inSPIRE in mind.
%
%
%
% Copyright 2015 SISSA Medialab
%
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
% The latest version of this license is in
% http://www.latex-project.org/lppl.txt
% and version 1.3 or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
%
% This work has the LPPL maintenance status `author-maintained'.
%
% The Current Maintainer of this work is
% SISSA Medialab <info@medialab.sissa.it>
%
% This work consists of the file JHEP.bst.
ENTRY
{ address
author
booktitle
chapter
edition
editor
howpublished
institution
journal
key
month
note
number
organization
pages
publisher
school
series
title
doi
SLACcitation
type
volume
year
archive
eprint
report
collaboration
url
}
{}
{ label }
INTEGERS { output.state before.all mid.sentence after.quote after.sentence
after.quoted.block after.block }
FUNCTION {init.state.consts}
{ #0 'before.all :=
#1 'mid.sentence :=
#2 'after.quote :=
#3 'after.sentence :=
#4 'after.quoted.block :=
#5 'after.block :=
}
STRINGS { s t ref }
FUNCTION {output.nonnull}
{ 's :=
output.state mid.sentence =
{ ", " * write$ }
{ output.state after.quote =
{ " " * write$ }
{ output.state after.block =
{ add.period$ write$
newline$
"\newblock " write$
}
{ output.state before.all =
'write$
{ output.state after.quoted.block =
{ write$
newline$
"\newblock " write$
}
{ add.period$ " " * write$ }
if$
}
if$
}
if$
}
if$
mid.sentence 'output.state :=
}
if$
s
}
FUNCTION {output}
{ duplicate$ empty$
'pop$
'output.nonnull
if$
}
FUNCTION {output.check}
{ 't :=
duplicate$ empty$
{ pop$ "empty " t * " in " * cite$ * warning$ }
'output.nonnull
if$
}
FUNCTION {output.bibitem}
{ newline$
"\bibitem{" write$
cite$ write$
"}" write$
newline$
""
before.all 'output.state :=
}
FUNCTION {blank.sep}
{ after.quote 'output.state :=
}
FUNCTION {fin.entry}
{ output.state after.quoted.block =
'skip$
'add.period$
if$
write$
newline$
}
FUNCTION {new.block}
{ output.state before.all =
'skip$
{ output.state after.quote =
{ after.quoted.block 'output.state := }
{ after.block 'output.state := }
if$
}
if$
}
FUNCTION {new.sentence}
{ output.state after.block =
'skip$
{ output.state before.all =
'skip$
{ after.sentence 'output.state := }
if$
}
if$
}
FUNCTION {not}
{ { #0 }
{ #1 }
if$
}
FUNCTION {and}
{ 'skip$
{ pop$ #0 }
if$
}
FUNCTION {or}
{ { pop$ #1 }
'skip$
if$
}
FUNCTION {new.block.checka}
{ empty$
'skip$
'new.block
if$
}
FUNCTION {new.block.checkb}
{ empty$
swap$ empty$
and
'skip$
'new.block
if$
}
FUNCTION {new.sentence.checka}
{ empty$
'skip$
'new.sentence
if$
}
FUNCTION {field.or.null}
{ duplicate$ empty$
{ pop$ "" }
'skip$
if$
}
FUNCTION {emphasize}
{ duplicate$ empty$
{ pop$ "" }
{ "\emph{" swap$ * "}" * }
if$
}
%% this functions should append the correct url prefix to doi
FUNCTION {format.doi}
{ doi empty$
{ "" }
{"\href{https://doi.org/" doi * "}" * }
if$
}
FUNCTION {formatfull.doi}
{ doi empty$
{ "" }
{"\href{https://doi.org/" doi *
"}{DOI}" * }
if$
}
FUNCTION {format.url}
{
url empty$
{""}
{"\href{" url * "}{" * url * "}" *}
if$
}
INTEGERS { nameptr namesleft numnames }
FUNCTION {format.names}
{ 's :=
#1 'nameptr :=
s num.names$ 'numnames :=
numnames 'namesleft :=
{ namesleft #0 > }
% the following removes space betwee author's initials
% but also removes "-" (as in composite names)
% so we do not use it
% { s nameptr "{f{.}. }{vv~}{ll}{, jj}" format.name$ 't :=
{ s nameptr "{f.~}{vv~}{ll}{, jj}" format.name$ 't :=
nameptr #1 >
{ namesleft #1 >
{ ", " * t * }
{ numnames #2 >
{ "" * }
'skip$
if$
t "others" =
{ " et~al." * }
{ " and " * t * }
if$
}
if$
}
nameptr #6 >
{ #0 'namesleft :=
"others" 't :=
't
}
{'t}
if$
if$
nameptr #1 + 'nameptr :=
namesleft #1 - 'namesleft :=
}
while$
}
FUNCTION {format.authors}
{ author empty$
{ "" }
{ author format.names }
if$
}
FUNCTION {format.eprint}
{ eprint empty$
{ ""}
{ archive empty$
{"\href{https://arxiv.org/abs/" eprint * "}" *
"{{\ttfamily " * eprint * "}}" *}
{"\href{https://arxiv.org/abs/" archive * "/" * eprint * "}" *
"{{\ttfamily " * archive * "/" * eprint * "}}" *}
if$
}
if$
}
FUNCTION {format.eprint.paren}
{ eprint missing$ { "" } { eprint empty$ { "" }
{"[" format.eprint * "]" *}
if$
}
if$
}
FUNCTION {format.report}
{ report empty$
{ ""}
{ report}
if$
}
FUNCTION {format.editors}
{ editor empty$
{ "" }
{ editor format.names
editor num.names$ #1 >
{ ", eds." * }
{ ", ed." * }
if$
}
if$
}
%% TODO: change.case$ is probably not a good idea...
%% see typeset/scripts/tests/JHEP.bst/src/bibitem-3127.bib
FUNCTION {format.title}
{ title empty$
{ "" }
{ "\emph{" title "t" change.case$ * "}, " * }
if$
}
FUNCTION {format.title.p}
{ title empty$
{ "" }
{ "``" title "t" change.case$ * ".''" * }
if$
}
FUNCTION {n.dashify}
{ 't :=
""
{ t empty$ not }
{ t #1 #1 substring$ "-" =
{ t #1 #2 substring$ "--" = not
{ "--" *
t #2 global.max$ substring$ 't :=
}
{ { t #1 #1 substring$ "-" = }
{ "-" *
t #2 global.max$ substring$ 't :=
}
while$
}
if$
}
{ t #1 #1 substring$ *
t #2 global.max$ substring$ 't :=
}
if$
}
while$
}
FUNCTION {format.date}
{ year empty$
{ month empty$
{ "" }
{ "there's a month but no year in " cite$ * warning$
month
}
if$
}
{ month empty$
'year
{ month ", " * year * }
if$
}
if$
}
FUNCTION {format.date.paren}
{ year empty$
{ month empty$
{ "" }
{ "there's a month but no year in " cite$ * warning$
month
}
if$
}
{ month empty$
{"(" year * ")" *}
{"(" month * ", " * year * ")" *}
if$
}
if$
}
FUNCTION {format.date.paren.nomonth}
{ year empty$
{ "" }
{"(" year * ")" *}
if$
}
FUNCTION {format.collaboration}
{ collaboration empty$
{ "" }
{ "{\scshape " collaboration * "} " * "collaboration" * }
if$
}
FUNCTION {format.btitle}
{ title emphasize
}
FUNCTION {tie.or.space.connect}
{ duplicate$ text.length$ #3 <
{ "~" }
{ " " }
if$
swap$ * *
}
FUNCTION {either.or.check}
{ empty$
'pop$
{ "can't use both " swap$ * " fields in " * cite$ * warning$ }
if$
}
FUNCTION {format.bvolume}
{ volume empty$
{ "" }
{ "vol.~" volume *
series empty$
'skip$
{ " of " * series emphasize * }
if$
"volume and number" number either.or.check
}
if$
}
FUNCTION {format.number.series}
{ volume empty$
{ number empty$
{ series field.or.null }
{ output.state mid.sentence =
{ "no.~" }
{ "No.~" }
if$
number *
series empty$
{ "there's a number but no series in " cite$ * warning$ }
{ " in " * series * }
if$
}
if$
}
{ "" }
if$
}
FUNCTION {format.edition}
{ edition empty$
{ "" }
{ edition "l" change.case$ "~ed." * }
if$
}
INTEGERS { multiresult }
FUNCTION {multi.page.check}
{ 't :=
#0 'multiresult :=
{ multiresult not
t empty$ not
and
}
{ t #1 #1 substring$
duplicate$ "-" =
swap$ duplicate$ "," =
swap$ "+" =
or or
{ #1 'multiresult := }
{ t #2 global.max$ substring$ 't := }
if$
}
while$
multiresult
}
FUNCTION {format.pages}
{ pages empty$
{ "" }
{ pages multi.page.check
{ "pp.~" pages n.dashify * }
{ "p.~" pages * }
if$
}
if$
}
FUNCTION {first.page}
{ 't :=
""
{ t empty$ not t #1 #1 substring$ "-" = not and }
{ t #1 #1 substring$ *
t #2 global.max$ substring$ 't :=
}
while$
}
FUNCTION {format.pages.nopp}
{ pages empty$
{ "" }
{ pages multi.page.check
{ pages first.page }
{ pages }
if$
}
if$
}
FUNCTION {format.volume}
{ volume empty$
{ "" }
{ "{\bfseries " volume * "}" * }
if$
}
FUNCTION {format.number}
{ number empty$
{ "" }
{ "no.~" number * }
if$
}
FUNCTION {format.chapter.pages}
{ chapter empty$
'format.pages
{ type empty$
{ "ch.~" chapter * }
{ type "l" change.case$ chapter tie.or.space.connect }
if$
pages empty$
'skip$
{ ", " * format.pages * }
if$
}
if$
}
FUNCTION {format.in.ed.booktitle}
{ booktitle empty$
{ "" }
{ "in " booktitle emphasize *
editor empty$
'skip$
{ ", " * format.editors * "" * }
if$
}
if$
}
FUNCTION {format.thesis.type}
{ type empty$
'skip$
{ pop$
output.state after.block =
{ type "t" change.case$ }
{ type "l" change.case$ }
if$
}
if$
}
FUNCTION {empty.misc.check}
{ author empty$ title empty$ howpublished empty$
month empty$ year empty$ note empty$
and and and and and
{ "all relevant fields are empty in " cite$ * warning$ }
'skip$
if$
}
FUNCTION {format.tr.number}
{ type empty$
{ "Tech. Rep." }
'type
if$
number empty$
{ "l" change.case$ }
{ number tie.or.space.connect }
if$
}
FUNCTION {format.paddress}
{ address empty$
{ "" }
{ "(" address * ")" * }
if$
}
FUNCTION {format.article.crossref}
{ key empty$
{ journal empty$
{ "need key or journal for " cite$ * " to crossref " * crossref *
warning$
""
}
{ "in \emph{" journal * "\/}" * }
if$
}
{ "in " key * }
if$
" \cite{" * crossref * "}" *
}
FUNCTION {format.crossref.editor}
{ editor #1 "{vv~}{ll}" format.name$
editor num.names$ duplicate$
#2 >
{ pop$ " {et~al.}" * }
{ #2 <
'skip$
{ editor #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" =
{ " {et~al.}" * }
{ " and " * editor #2 "{vv~}{ll}" format.name$ * }
if$
}
if$
}
if$
}
FUNCTION {format.book.crossref}
{ volume empty$
{ "empty volume in " cite$ * "'s crossref of " * crossref * warning$
"In "
}
{ "Vol.~" volume *
" of " *
}
if$
editor empty$
editor field.or.null author field.or.null =
or
{ key empty$
{ series empty$
{ "need editor, key, or series for " cite$ * " to crossref " *
crossref * warning$
"" *
}
{ "{\em " * series * "\/}" * }
if$
}
{ key * }
if$
}
{ format.crossref.editor * }
if$
" \cite{" * crossref * "}" *
}
FUNCTION {format.incoll.inproc.crossref}
{ editor empty$
editor field.or.null author field.or.null =
or
{ key empty$
{ booktitle empty$
{ "need editor, key, or booktitle for " cite$ * " to crossref " *
crossref * warning$
""
}
{ "in {\em " booktitle * "\/}" * }
if$
}
{ "in " key * }
if$
}
{ "in " format.crossref.editor * }
if$
" \cite{" * crossref * "}" *
}
%% Output either the collaboration name and no authors
%% or the authors (if there is no collaboration)
FUNCTION {format.author.or.collaboration}
{
collaboration empty$
{ format.authors "author" output.check }
{ format.collaboration output }
if$
}
FUNCTION {article}
{
output.bibitem
format.author.or.collaboration
format.title "title" output.check
blank.sep
crossref missing$
{
journal missing$
{ format.eprint output }
{ journal empty$
{ format.eprint output }
{ format.doi * "{" * journal emphasize before.all 'output.state := "journal" output.check
blank.sep
format.volume output
blank.sep
format.date.paren.nomonth "year" output.check
blank.sep
format.pages.nopp "}" * output
blank.sep
}
if$
}
if$
report missing$
{ journal empty$
{}
{ format.eprint.paren output}
if$
}
{ blank.sep format.report output format.eprint.paren output}
if$
}
{
format.article.crossref output.nonnull
format.pages.nopp output
format.eprint.paren output
}
if$
new.sentence
fin.entry
}
FUNCTION {book}
{ output.bibitem
format.collaboration output
author empty$
{ format.editors "author and editor" output.check }
{ format.authors output.nonnull
crossref missing$
{ "author and editor" editor either.or.check }
'skip$
if$
}
if$
format.btitle "title" output.check
crossref missing$
{ format.bvolume output
format.number.series output
new.sentence
publisher "publisher" output.check
address output
}
{ format.book.crossref output.nonnull }
if$
format.edition output
format.date "year" output.check
doi empty$
{}
{ format.doi "{" * doi * "}" * "DOI" output.check }
if$
format.eprint.paren output
fin.entry
}
FUNCTION {booklet}
{ output.bibitem
format.author.or.collaboration
title empty$
{ "empty title in " cite$ * warning$
howpublished new.sentence.checka
}
{ howpublished empty$ not
address empty$ month empty$ year empty$ and and
or
{ format.title.p output.nonnull }
{ format.title output.nonnull }
if$
blank.sep
}
if$
howpublished output
address output
format.date output
new.block
% note output
doi output
fin.entry
}
FUNCTION {incollection}
{ output.bibitem
format.author.or.collaboration
format.title "title" output.check
blank.sep
crossref missing$
{ format.in.ed.booktitle "booktitle" output.check
format.bvolume output
format.number.series output
format.paddress output
format.pages output
organization output
publisher output
format.date.paren "year" output.check
}
{ format.incoll.inproc.crossref output.nonnull
format.pages output
}
if$
format.eprint output
doi empty$
{ format.url output }
{ formatfull.doi output }
if$
fin.entry
}
FUNCTION {inbook} { incollection }
FUNCTION {inproceedings}
{ output.bibitem
format.author.or.collaboration
format.title "title" output.check
blank.sep
crossref missing$
{ format.in.ed.booktitle "booktitle" output.check
format.bvolume output
format.number.series output
format.paddress output
format.pages output
organization output
publisher output
format.date "year" output.check
}
{ format.incoll.inproc.crossref output.nonnull
format.pages output
}
if$
doi empty$
{ format.url output }
{ formatfull.doi output }
if$
doi empty$ url empty$ and
{ format.eprint output }
{ blank.sep format.eprint.paren output }
if$
fin.entry
}
FUNCTION {conference} { inproceedings }
FUNCTION {manual}
{ output.bibitem
format.collaboration output
author empty$
{ organization empty$
'skip$
{ organization output.nonnull
address output
}
if$
}
{ format.authors output.nonnull }
if$
format.btitle "title" output.check
author empty$
{ organization empty$
{ address new.block.checka
address output
}
'skip$
if$
}
{ organization address new.block.checkb
organization output
address output
}
if$
format.edition output
format.date output
new.block
% note output
doi output
fin.entry
}
FUNCTION {electronic} { manual }
FUNCTION {mastersthesis}
{ output.bibitem
format.authors "author" output.check
format.title "title" output.check
blank.sep
"Master's thesis" format.thesis.type output.nonnull
school "school" output.check
address output
format.date "year" output.check
new.block
% note output
doi output
fin.entry
}
FUNCTION {misc}
{ output.bibitem
format.collaboration output
format.authors output
title empty$
{ howpublished new.sentence.checka }
{ howpublished empty$ not
month empty$ year empty$ and
or
{ format.title.p output.nonnull }
{ format.title output.nonnull }
if$
blank.sep
}
if$
howpublished output
format.date output
new.block
% note output
doi output
fin.entry
empty.misc.check
}
FUNCTION {phdthesis}
{ output.bibitem
format.authors "author" output.check
format.btitle "title" output.check
"Ph.D. thesis" format.thesis.type output.nonnull
school "school" output.check
address output
format.date "year" output.check
new.block
format.eprint output
new.block
% note output
doi output
fin.entry
}
FUNCTION {proceedings}
{ output.bibitem
editor empty$
{ organization output }
{ format.editors output.nonnull }
if$
format.btitle "title" output.check
format.bvolume output
format.number.series output
format.paddress output
editor empty$
'skip$
{ organization output }
if$
publisher output
format.date "year" output.check
new.block
% note output
doi output
fin.entry
}
FUNCTION {techreport}
{ output.bibitem
format.author.or.collaboration
format.title "title" output.check
blank.sep
format.tr.number output.nonnull
institution "institution" output.check
address output
format.date "year" output.check
new.block
% note output
doi output
fin.entry
}
FUNCTION {unpublished}
{ output.bibitem
format.author.or.collaboration
format.title.p "title" output.check
blank.sep
% note "note" output.check
format.date output
fin.entry
}
FUNCTION {default.type} { misc }
MACRO {jan} {"Jan."}
MACRO {feb} {"Feb."}
MACRO {mar} {"Mar."}
MACRO {apr} {"Apr."}
MACRO {may} {"May"}
MACRO {jun} {"June"}
MACRO {jul} {"July"}
MACRO {aug} {"Aug."}
MACRO {sep} {"Sept."}
MACRO {oct} {"Oct."}
MACRO {nov} {"Nov."}
MACRO {dec} {"Dec."}
MACRO {nup} {"Nucl. Phys."}
MACRO {cmp} {"Comm. Math. Phys."}
MACRO {prl} {"Phys. Rev. Lett."}
MACRO {pl} {"Phys. Lett."}
MACRO {rmp} {"Rev. Mod. Phys."}
MACRO {ijmp} {"Int. Jour. Mod. Phys."}
MACRO {mpl} {"Mod. Phys. Lett."}
MACRO {pr} {"Phys. Rev."}
READ
STRINGS { longest.label }
INTEGERS { number.label longest.label.width }
FUNCTION {initialize.longest.label}
{ "" 'longest.label :=
#1 'number.label :=
#0 'longest.label.width :=
}
FUNCTION {longest.label.pass}
{ number.label int.to.str$ 'label :=
number.label #1 + 'number.label :=
label width$ longest.label.width >
{ label 'longest.label :=
label width$ 'longest.label.width :=
}
'skip$
if$
}
EXECUTE {initialize.longest.label}
ITERATE {longest.label.pass}
FUNCTION {begin.bib}
{ preamble$ empty$
'skip$
{ preamble$ write$ newline$ }
if$
newline$
"\providecommand{\href}[2]{#2}"
"\begingroup\raggedright\begin{thebibliography}{" * longest.label *
"}" * write$ newline$ }
EXECUTE {begin.bib}
EXECUTE {init.state.consts}
ITERATE {call.type$}
FUNCTION {end.bib}
{ newline$
"\end{thebibliography}\endgroup" write$ newline$
}
EXECUTE {end.bib}
\ No newline at end of file
File added
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\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{tikz}
\usepackage{physics}
\usepackage{amssymb}
\usepackage[plain]{algorithm}
\usepackage{algpseudocode}
\fancyhf{}
\usetikzlibrary{automata,positioning}
% Basic Document Settings
%
\topmargin=-0.45in
\evensidemargin=0in
\oddsidemargin=0in
\textwidth=6.5in
\textheight=9.0in
\headsep=0.25in
\linespread{1.1}
\pagestyle{fancy}
%\lhead{\hmwkAuthorName}
\chead{\hmwkClass\ - Aditya Vijaykumar}
%\rhead{\firstxmark}
\lfoot{\lastxmark}
\cfoot{\thepage}
\renewcommand\headrulewidth{0.4pt}
\renewcommand\footrulewidth{0.4pt}
\setlength\parindent{0pt}
%
% Create Problem Sections
%
\newcommand{\be}{\begin{equation}}
\newcommand{\ee}{\end{equation}}
\newcommand{\bes}{\begin{equation*}}
\newcommand{\ees}{\end{equation*}}
\newcommand{\bea}{\begin{flalign*}}
\newcommand{\eea}{\end{flalign*}}
\newcommand{\enterProblemHeader}[1]{
\nobreak\extramarks{}{Problem \arabic{#1} continued on next page\ldots}\nobreak{}
\nobreak\extramarks{Problem \arabic{#1} (continued)}{Problem \arabic{#1} continued on next page\ldots}\nobreak{}
}
\newcommand{\exitProblemHeader}[1]{
\nobreak\extramarks{Problem \arabic{#1} (continued)}{Problem \arabic{#1} continued on next page\ldots}\nobreak{}
\stepcounter{#1}
\nobreak\extramarks{Problem \arabic{#1}}{}\nobreak{}
}
\setcounter{secnumdepth}{0}
\newcounter{partCounter}
\newcounter{homeworkProblemCounter}
\setcounter{homeworkProblemCounter}{1}
\nobreak\extramarks{Problem \arabic{homeworkProblemCounter}}{}\nobreak{}
%
% Homework Problem Environment
%
% This environment takes an optional argument. When given, it will adjust the
% problem counter. This is useful for when the problems given for your
% assignment aren't sequential. See the last 3 problems of this template for an
% example.
%
\newenvironment{homeworkProblem}[1][-1]{
\ifnum#1>0
\setcounter{homeworkProblemCounter}{#1}
\fi
\section{Problem \arabic{homeworkProblemCounter}}
\setcounter{partCounter}{1}
\enterProblemHeader{homeworkProblemCounter}
}{
\exitProblemHeader{homeworkProblemCounter}
}
%
% Homework Details
% - Title
% - Due date
% - Class
% - Section/Time
% - Instructor
% - Author
%
\newcommand{\hmwkTitle}{}
\newcommand{\hmwkDueDate}{{Thesis Proposal}}
\newcommand{\hmwkClass}{Probing strong gravity and cosmology using gravitational-wave observations}
\newcommand{\hmwkClassTime}{}
\newcommand{\hmwkAuthorName}{\textbf{Aditya Vijaykumar, \textit{International Centre for Theoretical Sciences}}}
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\maketitle
\subsection{Introduction}
Explain why GWs are great
\subsection{Probing Cosmological Large Scale Structure}
The next generation of GW detectors will have higher distance reach, and are expected to detect hundreds of thousands of GW events with better localization. If we imagine these detected events to be a ``survey'' akin to a survey of galaxies, we can constrain properties of large-scale structure by measuring the cosmological two-point correlation function. We simulate localization posteriors of future GW events and account for the ``smearing'' of the two-point correlation function due to these localization uncertainties. With this, we show that the bias of the detected BBH population can be measured in a certain redshift range with 3-5 years of observation. These measurements will provide new insights into the type of galaxies that BBHs are hosted in, and could shed light on possible formation channels. Our method does not require the use of galaxy catalogs or electromagnetic counterparts. We are working to extend this to other aspects of large-scale structure.
\subsection{Constraining the time-variation of the gravitational constant}
Although the value of $ G $ is constant in the realm of general relativity, a generic class of alternative theories of gravity including scalar-tensor theories like the Brans-Dicke theory permit a time varying $ G $. We place constraints on the time variation of $ G $ using the detected LIGO-Virgo BNS events by noting that the GW signal from BNS observations carry an imprint of $ G=G_{\mathrm{s}} $ at the time of merger, and that the maximum and minimum mass of a neutron star scales as $ m_{\mathrm{min,max}} \sim G_{\mathrm{s}}^{-3/2} $. The constraints thus obtained are fourteen orders of magnitude stronger than the existing constraints from GWs \cite{Yunes:2016jcc} and probe a fundamentally different epoch of cosmic time. These constraints are expected to improve by one or two orders of magnitude with next-generation GW detectors by probing deeper into the cosmos and by stacking constraints at the same cosmological epoch.
\subsection{Constraining properties of black hole mimickers}
The BBHs detected by LIGO-Virgo are consistent with being BBHs in general relativity; however, there are theoretical proposals of alternatives to black holes, collectively referred to as \textit{black hole mimickers}. These objects can be massive and compact enough so that GWs from their binaries can be confused with those from BBHs; but their GW signal will generically contain an imprint of their tidal deformability $ \Lambda $ ($ \Lambda = 0 $ for black holes). In this ongoing work (an extension of \cite{Johnson-McDaniel:2018uvs}), we consider the inspiral regime of the detected BBH events and measure their tidal deformability (or lack thereof). These measurements can be turned into constraints on the equation of state of a given black hole mimicker, thus allowing us to place constraints on the possibility of the detected events being mimickers themselves.
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