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Imperfect fluid description of modified gravities

By Valerio Faraoni and Jeremy Coté

Abstract

The Brans-Dicke-like field of scalar-tensor gravity can be described as an imperfect fluid in an approach in which the field equations are regarded as effective Einstein equations. After completing this approach we recover, as a special case, the known effective fluid for a scalar coupled nonminimally to the Ricci curvature and we describe the imperfect fluid equivalent of f(R) gravity. A symmetry of electrovacuum Brans-Dicke gravity is translated into a symmetry of the corresponding effective fluid. The discussion is valid for any spacetime geometry.Comment: Added some explanation in the text, typographical errors corrected. Matches version to appear in Phys. Rev.

Topics: General Relativity and Quantum Cosmology
Publisher: 'American Physical Society (APS)'
Year: 2018
DOI identifier: 10.1103/PhysRevD.98.084019
OAI identifier: oai:arXiv.org:1808.02427

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