Parameterized post-Newtonian formalism for multimetric gravity

DOI10.1088/0264-9381/31/13/135003zbMATH Open1295.83024arXiv1309.7787OpenAlexW3106047049MaRDI QIDQ2874781

Manuel Hohmann

Publication date: 8 August 2014

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: We discuss the post-Newtonian limit of multimetric gravity theories with $Ngeq2$ metric tensors and a corresponding number of standard model copies, and construct an extension of the parameterized post-Newtonian (PPN) formalism. This extended formalism allows a characterization of multimetric gravity theories by a set of constant parameters. The multimetric PPN parameters we derive are a superset of the standard PPN parameters, which have been measured using high-precision experiments in the solar system. We apply our formalism to a class of theories which we previously discussed in the context of cosmology and gravitational waves, and which feature an accelerating expansion of the universe. A comparison between our results and the measured PPN parameters shows that multimetric gravity is fully compatible with solar system observations.

Full work available at URL: https://arxiv.org/abs/1309.7787

zbMATH Keywords

gravityPPN parametersmultimetric gravityparameterized post-Newtonian formalism

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Galactic and stellar dynamics (85A05) Gravitational waves (83C35) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

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