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Strong field effects on binary systems in Einstein-aether theory
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"Einstein-aether" theory is a generally covariant theory of gravity containing a dynamical preferred frame. This article continues an examination of effects on the motion of binary pulsar systems in this theory, by incorporating effects due to strong fields in the vicinity of neutron star pulsars. These effects are included through an effective approach, by treating the compact bodies as point particles with nonstandard, velocity dependent interactions parametrized by dimensionless "sensitivities". Effective post-Newtonian equations of motion for the bodies and the radiation damping rate are determined. More work is needed to calculate values of the sensitivities for a given fluid source, so precise constraints on the theory's coupling constants cannot yet be stated. It is shown, however, that strong field effects will be negligible given current observational uncertainties if the dimensionless couplings are less than roughly 0.01 and two conditions that match the PPN parameters to those of pure general relativity are imposed. In this case, weak field results suffice and imply one further condition on the couplings. Thus, there exists a one-parameter family of Einstein-aether theories with "small-enough" couplings that passes all current observational tests. No conclusion can yet be reached for large couplings.
Forward citations
Cited by 2 Pith papers
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Compact binary systems in Einstein-{\AE}ther gravity. II. Radiation reaction to 2.5 post-Newtonian order
The paper derives radiative equations of motion for Einstein-Aether compact binaries to 2.5PN order and reports energy-loss rates that contradict earlier flux-based calculations, with the dipole rate depending only on...
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On the Motion of Compact Objects in Relativistic Viscous Fluids
The authors derive covariant world-line effective field theory equations of motion for a compact object moving relativistically through a fluid, matching coefficients to potential and Stokes flow.
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