Rotating black holes in massive gravity

Eugeny Babichev and Alessandro Fabbri
Phys. Rev. D 90, 084019 – Published 13 October 2014

Abstract

We present a solution for rotating black holes in massive gravity. We first give a solution of massive gravity with one dynamical metric. Both metrics of this solution are expressed in the advanced Eddington-Finkelstein–like coordinates: the physical metric has the original Kerr line element, while the fiducial metric is flat, but written in a rotating Eddington-Finkelstein form. For the bigravity theory we give an analogue of this solution: the two metrics have the original Kerr form, but, in general, different black hole masses. The generalization of the solution to include the electric charge is also given; it is an analogue of the Kerr-Newman solution in general relativity. We also discuss further possible ways to generalize the solutions.

  • Received 7 July 2014

DOI:https://doi.org/10.1103/PhysRevD.90.084019

© 2014 American Physical Society

Authors & Affiliations

Eugeny Babichev1 and Alessandro Fabbri2

  • 1Laboratoire de Physique Théorique d’Orsay, Bâtiment 210, Université Paris-Sud 11, F-91405 Orsay Cedex, France
  • 2Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi, Piazza del Viminale 1, 00184 Roma, Italy; Dipartimento di Fisica dell’Università di Bologna, Via Irnerio 46, 40126 Bologna, Italy; and Departamento de Física Teórica and IFIC, Universidad de Valencia-CSIC, C. Dr. Moliner 50, 46100 Burjassot, Spain

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Issue

Vol. 90, Iss. 8 — 15 October 2014

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