A Test of Gravity with Pulsar Timing Arrays
Abstract
A successful measurement of the Stochastic Gravitational Wave Background (SGWB) in Pulsar Timing Arrays (PTAs) would open up a new window through which to test the predictions of General Relativity (GR). We consider how these measurements might reveal deviations from GR by studying the overlap reduction function -- the quantity that in GR is approximated by the Hellings-Downs curve -- in some sample modifications of gravity, focusing on the generic prediction of a modified dispersion relation for gravitational waves. We find a distinct signature of such modifications to GR -- a shift in the minimum angle of the angular distribution -- and demonstrate that this shift is quantitatively sensitive to any change in the phase velocity. In a given modification of gravity, this result can be used, in some regions of parameter space, to distinguish the effect of a modified dispersion relation from that due to the presence of extra polarization modes.
Cite
@article{arxiv.2304.02640,
title = {A Test of Gravity with Pulsar Timing Arrays},
author = {Qiuyue Liang and Meng-Xiang Lin and Mark Trodden},
journal= {arXiv preprint arXiv:2304.02640},
year = {2025}
}
Comments
v2: add references and discussions. 23 pages, 4 figures