Static post-Newtonian limits in non-projectable Hořava-Lifshitz gravity with an extra U(1) symmetry

Abstract

In this paper, we study static post-Newtonian limits in non-projectable Hořava-Lifshitz gravity with an extra U(1) symmetry. After obtaining all static spherical solutions in the infrared, we apply them to the solar system tests, and obtain the Eddington-Robertson-Schiff parameters in terms of the coupling constants of the theory. These parameters are well consistent with observations for the physically viable coupling constants. In contrast to the projectable case, this consistence is achieved without taking the gauge field and Newtonian prepotential as part of the metric.

Version appeared in Phys. Rev. D87, 084041 (2013)

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• Scalar Quasinormal Modes of Anti-de Sitter Static Spacetime in Horava-Lifshitz Gravity with $U(1)$ Symmetry
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• Holographic Superconductors in a Rotating Spacetime
• xPPN: An implementation of the parametrized post-Newtonian formalism using xAct for Mathematica
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• Vaidya Solutions in General Covariant Hořava-Lifshitz Gravity without Projectability: Infrared Limit
• Vaidya Solution in General Covariant Hořava-Lifshitz Gravity with the Minimum Coupling and without Projectability: Infrared Limit
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