Angular Momentum Loss for a Binary System in Einstein-Æther Theory

Abstract

The recent gravitational wave observations provide insight into the extreme gravity regime of coalescing binaries, where gravity is strong, dynamical and non-linear. The interpretation of these observations relies on the comparison of the data to a gravitational wave model, which in turn depends on the orbital evolution of the binary, and in particular on its orbital energy and angular momentum decay. In this paper, we calculate the latter in the inspiral of a non-spinning compact binary system within Einstein-Æther theory. From the theory's gravitational wave stress energy tensor and a balance law, we compute the angular momentum decay both as a function of the fields in the theory and as a function of the multipole moments of the binary. We then specialize to a Keplerian parameterization of the orbit to express the angular momentum decay as a function of the binary's orbital elements. We conclude by combining this with the orbital energy decay to find expressions for the decay of the semi-major axis and the orbital eccentricity of the binary. We find that these rates of decay are typically faster in Einstein-Æther theory than in General Relativity due to the presence of dipole radiation. Such modifications will imprint onto the chirp rate of gravitational waves, leaving a signature of Einstein-Æther theory that if absent in the data could be used to stringently constrain it.

9 pages, 2 figures, submitted to PRD

References in corpus (9)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Laser Interferometer Space Antenna
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Strong field effects on binary systems in Einstein-aether theory
• A Fourier Domain Waveform for Non-Spinning Binaries with Arbitrary Eccentricity
• Projected Constraints on Lorentz-Violating Gravity with Gravitational Waves
• The Gravitational Wave Stress-Energy (pseudo)-Tensor in Modified Gravity

Cited by in corpus (3)

• Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
• Gravitational wave forms, polarizations, response functions and energy losses of triple systems in Einstein-Aether theory
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory