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Black holes and gravitational waves in three-dimensional f(R) gravity
- Source :
- Phys. Rev. D 90, 124051 (2014)
- Publication Year :
- 2014
-
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.<br />Comment: 6 pages, minor corrections, to match the published version
- Subjects :
- Physics - General Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 90, 124051 (2014)
- Publication Type :
- Report
- Accession number :
- edsarx.1405.7530
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.90.124051