Study of eccentric binaries in Horndeski theory

Abstract

We study the orbital evolution of eccentric binary systems in Horndeski gravity. This particular theory provides a testbed to give insightful comparisons with data. We compute the rate of energy loss and the rate of change of angular momentum for the binaries by calculating the multipole moments of the radiation fields. We have used appropriate parameters for the eccentric binaries to compute the decay rates of its orbital eccentricity and semi-major axis. We then compare this decay rate with that of GR.

arXiv comment35 Pages, 1 figures, section 8 updated and more discussions regarding the rate of energy and angular-momentum flux added, several consistency checks of our results are added, a figure showing the variation of the semi-major axis of the orbit of the binary as a function of eccentricity added, discussion updated, references added, Minor typos corrected in Eq. (7.22)& (A.2), title slightly changed

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