Testing the general theory of relativity using gravitational wave propagation from dark standard sirens

Autor: Suvodip Mukherjee, Joseph Silk, Benjamin D. Wandelt
Přispěvatelé: Institut d'Astrophysique de Paris (IAP), Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Institut Lagrange de Paris, Sorbonne Université (SU)
Rok vydání: 2021
Předmět:
Cosmology and Nongalactic Astrophysics (astro-ph.CO)
redshift: dependence
gravitation: model
General relativity
FOS: Physical sciences
detector: network
General Relativity and Quantum Cosmology (gr-qc)
Astrophysics::Cosmology and Extragalactic Astrophysics
Astrophysics
baryon: oscillation: acoustic
01 natural sciences
General Relativity and Quantum Cosmology
electromagnetic field: production
Einstein Telescope
statistical analysis
gravitational radiation: propagation
numerical methods
0103 physical sciences
general relativity
KAGRA
LIGO
numerical calculations
010303 astronomy & astrophysics
Luminosity distance
High Energy Astrophysical Phenomena (astro-ph.HE)
Physics
LISA
010308 nuclear & particles physics
Gravitational wave
Astronomy and Astrophysics
Redshift
Baryon
VIRGO
gravitational waves
Space and Planetary Science
gravitational radiation: emission
[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
large-scale structure of Universe
Astrophysics - High Energy Astrophysical Phenomena
[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]
Astrophysics - Cosmology and Nongalactic Astrophysics
Zdroj: Monthly Notices of the Royal Astronomical Society
Monthly Notices of the Royal Astronomical Society, Oxford University Press (OUP): Policy P-Oxford Open Option A, 2021, 502 (1), pp.1136-1144. ⟨10.1093/mnras/stab001⟩
ISSN: 1365-2966
0035-8711
DOI: 10.1093/mnras/stab001
Popis: Alternative theories of gravity predict modifications in the propagation of gravitational waves (GW) through space-time. One of the smoking-gun predictions of such theories is the change in the GW luminosity distance to GW sources as a function of redshift relative to the electromagnetic (EM) luminosity distance expected from EM probes. We propose a multi-messenger test of the theory of general relativity from the propagation of gravitational waves by combining EM and GW observations to resolve these issues from GW sources without EM counterparts (which are also referred to as dark standard sirens). By using the relation between the geometric distances accessible from baryon acoustic oscillation measurements, and luminosity distance measurements from the GW sources, we can measure any deviation from the general theory of relativity via the GW sources of unknown redshift that will be detectable by networks of GW detectors such as LIGO, Virgo, and KAGRA. Using this technique, the fiducial value of the frictional term can be measured to a precision $\Xi_0=0.98^{+0.04}_{-0.23}$ after marginalizing over redshift dependence, cosmological parameters, and GW bias parameters with $\sim 3500$ dark standard sirens of masses $30\,\rm M_\odot$ each distributed up to redshift $z=0.5$. For a fixed redshift dependence, a value of $\Xi_0=0.99^{+0.02}_{-0.02}$ can be measured with a similar number of dark sirens. Application of our methodology to the far more numerous dark standard sirens detectable with next generation GW detectors, such as LISA, Einstein Telescope and Cosmic Explorer, will allow achievement of higher accuracy than possible from use of bright standard sirens.
Comment: 10 pages, 3 figures. Accepted for publication in MNRAS
Databáze: OpenAIRE