Partially massless gravitons do not destroy general relativity black holes

Richard Brito, Vitor Cardoso, and Paolo Pani
Phys. Rev. D 87, 124024 – Published 20 June 2013

Abstract

Recent nonlinear completions of Fierz-Pauli theory for a massive spin-2 field include nonlinear massive gravity and bimetric theories. The spectrum of black-hole solutions in these theories is rich and comprises the same vacuum solutions of Einstein’s gravity enlarged to include a cosmological constant. It was recently shown that Schwarzschild (de Sitter) black holes in these theories are generically unstable against spherical perturbations. Here we show that a notable exception is partially massless gravity, where the mass of the graviton is fixed in terms of the cosmological constant by μ2=2Λ/3 and a new gauge invariance emerges. We find that general relativity black holes are stable in this limit. Remarkably, the spectrum of massive gravitational perturbations is isospectral.

  • Figure
  • Received 18 May 2013

DOI:https://doi.org/10.1103/PhysRevD.87.124024

© 2013 American Physical Society

Authors & Affiliations

Richard Brito1,*, Vitor Cardoso1,2,3, and Paolo Pani1,4

  • 1Departamento de Física, CENTRA, Instituto Superior Técnico, Universidade Técnica de Lisboa—UTL, Avenida Rovisco Pais 1, 1049 Lisboa, Portugal
  • 2Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2J 2W9, Canada
  • 3Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677, USA
  • 4Institute for Theory and Computation, Harvard-Smithsonian CfA, 60 Garden Street, Cambridge, Massachusetts 02138, USA

  • *richard.brito@ist.utl.pt

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Vol. 87, Iss. 12 — 15 June 2013

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