Strong field effects on binary systems in Einstein-aether theory

Brendan Z. Foster
Phys. Rev. D 76, 084033 – Published 25 October 2007

Abstract

“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; therefore, 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 0.1 and two conditions that match the PPN parameters to those of pure general relativity are imposed. In this case, weak field results suffice. There then exists a one-parameter family of Einstein–aether theories with “small-enough” couplings that passes all current observational tests. No conclusion can be reached for larger couplings until the sensitivities for a given source can be calculated.

  • Figure
  • Received 5 June 2007

DOI:https://doi.org/10.1103/PhysRevD.76.084033

©2007 American Physical Society

Authors & Affiliations

Brendan Z. Foster*

  • Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht, The Netherlands

  • *B.Z.Foster@phys.uu.nl

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Issue

Vol. 76, Iss. 8 — 15 October 2007

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