Constraining the evolutionary history of Newton's constant with gravitational wave observations

Details Constraining the evolutionary history of Newton's constant with gravitational wave observations Constraining the evolutionary history of Newton's constant with gravitational wave observations

2009-12-15

arxiv.org/abs/0912.2724v2

Phys.Rev.D81:064018,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 figures, replaced with version accepted for publication in Phys. Rev. D.

Scientific paper

10.1103/PhysRevD.81.064018

Space-borne gravitational wave detectors, such as the proposed Laser Interferometer Space Antenna, are expected to observe black hole coalescences to high redshift and with large signal-to-noise ratios, rendering their gravitational waves ideal probes of fundamental physics. The promotion of Newton's constant to a time-function introduces modifications to the binary's binding energy and the gravitational wave luminosity, leading to corrections in the chirping frequency. Such corrections propagate into the response function and, given a gravitational wave observation, they allow for constraints on the first time-derivative of Newton's constant at the time of merger. We find that space-borne detectors could indeed place interesting constraints on this quantity as a function of sky position and redshift, providing a {\emph{constraint map}} over the entire range of redshifts where binary black hole mergers are expected to occur. A LISA observation of an equal-mass inspiral event with total redshifted mass of 10^5 solar masses for three years should be able to measure $\dot{G}/G$ at the time of merger to better than 10^(-11)/yr.

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