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

Hongsheng Zhang, Dao-Jun Liu, and Xin-Zhou Li
Phys. Rev. D 90, 124051 – Published 17 December 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.

  • Received 29 May 2014

DOI:https://doi.org/10.1103/PhysRevD.90.124051

© 2014 American Physical Society

Authors & Affiliations

Hongsheng Zhang1,2,*, Dao-Jun Liu1,2,†, and Xin-Zhou Li1,‡

  • 1Center for Astrophysics, Shanghai Normal University, 100 Guilin Road, Shanghai 200234, China
  • 2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

  • *hongsheng@shnu.edu.cn
  • djliu@shnu.edu.cn
  • kychz@shnu.edu.cn

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 12 — 15 December 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×