Second post-Newtonian approximation of Einstein-aether theory

dc.creatorXie, Yi
dc.creatorHuang, Tian-Yi
dc.date2008-05-27
dc.date2008-07-02
dc.date.accessioned2026-07-07T12:40:48Z
dc.date.available2026-07-07T12:40:48Z
dc.descriptionIn this paper, second post-Newtonian approximation of Einstein-aether theory is obtained by Chandrasekhar's approach. Five parameterized post-Newtonian parameters in first post-Newtonian approximation are presented after a time transformation and they are identical with previous works, in which $γ=1$, $β=1$ and two preferred-frame parameters remain. Meanwhile, in second post-Newtonian approximation, a parameter, which represents third order nonlinearity for gravity, is zero the same as in general relativity. For an application for future deep space laser ranging missions, we reduce the metric coefficients for light propagation in a case of $N$ point masses as a simplified model of the solar system. The resulting light deflection angle in second post-Newtonian approximation poses another constraint on the Einstein-aether theory.
dc.description29 pages, no figures
dc.identifierhttps://arxiv.org/abs/0805.4067
dc.identifierhttp://arxiv.org/abs/0805.4067
dc.identifierPhys. Rev. D 77, 124049 (2008)
dc.identifierdoi:10.1103/PhysRevD.77.124049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219555
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSecond post-Newtonian approximation of Einstein-aether theory
dc.typetext

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