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arXiv · 0912.2724

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

Nicolas Yunes·Frans Pretorius·David Spergel
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Abstract

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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BibTeXRIS

Nicolas Yunes, Frans Pretorius, David Spergel. 2009-12-15. Constraining the evolutionary history of Newton's constant with gravitational wave observations. https://doi.org/10.1103/physrevd.81.064018

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