Black holes and gravitational waves in three-dimensional f(R) gravity

Hongsheng Zhang; Dao-Jun Liu; Xin-Zhou Li

doi:10.1103/physrevd.90.124051

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arXiv · 1405.7530

Black holes and gravitational waves in three-dimensional f(R) gravity

Hongsheng Zhang·Dao-Jun Liu·Xin-Zhou Li

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Abstract

In the three-dimensional pure Einstein gravity, the geometries of the vacuum space-times are always trivial, and gravitational waves (gravitons) are strictly forbidden. For the first time, we find a vacuum circularly symmetric black hole with nontrivial geometries in $f(R)$ gravity theory, in which a true singularity appears. In this frame with nontrivial geometry, a perturbative gravitational wave does exist. Beyond the perturbative level, we make a constructive proof of the existence of a gravitational wave in $f(R)$ gravity, where the Birkhoff-like theorem becomes invalid. We find two classes of exact solutions of circularly symmetric pure gravitational wave radiation and absorption.

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Hongsheng Zhang, Dao-Jun Liu, Xin-Zhou Li. 2014-12-19. Black holes and gravitational waves in three-dimensional f(R) gravity. https://doi.org/10.1103/physrevd.90.124051

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