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.

35 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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• Gravitational Waveform and Polarization from Binary Black Hole Inspiral in Dynamical Chern-Simons Gravity: From Generation to Propagation
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• Constraining Palatini-Horndeski theory with gravitational waves after GW170817
• Probing new fundamental fields with Extreme Mass Ratio Inspirals
• Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity
• Gravitational radiation from binary systems in $f(R)$ gravity: A semi-classical approach
• Post-Newtonian Binary Dynamics in Effective Field Theory of Horndeski Gravity
• A Post-Newtonian Analysis of Regularized 4D-EGB Theory: Complete Set of PPN Parameters and Observational Constraints
• Dynamics and gravitational radiation of binaries with spin precession and eccentricity in dynamical Chern-Simons gravity
• Generic effective sources for first-order in mass-ratio gravitational self-force calculations in Schwarzschild spacetime