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  Constraining the evolution of Newton's constant with slow inspirals observed from spaceborne gravitational-wave detectors

Barbieri, R., Savastano, S., Speri, L., Antonelli, A., Sberna, L., Burke, O., et al. (in preparation). Constraining the evolution of Newton's constant with slow inspirals observed from spaceborne gravitational-wave detectors.

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 Creators:
Barbieri, R.1, Author           
Savastano, S.1, Author           
Speri, L.1, Author           
Antonelli, A.1, Author           
Sberna, L.2, Author           
Burke, O.1, Author           
Gair, J. R.1, Author           
Tamanini, N.1, Author           
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              
2Theoretical Cosmology, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753351              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Spaceborne gravitational-wave (GW) detectors observing at milli-Hz and
deci-Hz frequencies are expected to detect large numbers of quasi-monochromatic
signals. The first and second time-derivative of the GW frequency ($\dot f_0$
and $\ddot f_0$) can be measured for the most favourable sources and used to
look for negative post-Newtonian corrections, which can be induced by the
source's environment or modifications of general relativity. We present an
analytical, Fisher-matrix-based approach to estimate how precisely such
corrections can be constrained. We use this method to estimate the bounds
attainable on the time evolution of the gravitational constant $G(t)$ with
different classes of quasi-monochromatic sources observable with LISA and
DECIGO, two representative spaceborne detectors for milli-Hz and deci-Hz GW
frequencies. We find that the most constraining source among a simulated
population of LISA galactic binaries could yield $\dot G/G_0 \lesssim
10^{-6}\text{yr}^{-1}$, while the best currently known verification binary will
reach $\dot G/G_0 \lesssim 10^{-4}\text{yr}^{-1}$. We also perform Monte-Carlo
simulations using quasi-monochromatic waveforms to check the validity of our
Fisher-matrix approach, as well as inspiralling waveforms to analyse binaries
that do not satisfy the quasi-monochromatic assumption. We find that our
analytical Fisher matrix produces good order-of-magnitude constraints even for
sources well beyond its regime of validity. Monte-Carlo investigations also
show that chirping stellar-mass compact binaries detected by DECIGO-like
detectors at cosmological distances of tens of Mpc can yield constraints as
tight as $\dot G/G_0 \lesssim 10^{-11}\text{yr}^{-1}$.

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 Dates: 2022-07-21
 Publication Status: Not specified
 Pages: 10 pages, 3 figures
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2207.10674
 Degree: -

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