Journal
PHYSICAL REVIEW D
Volume 87, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.87.124024
Keywords
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Funding
- FCT-IDPASC program [SFRH/BD/52047/2012]
- European Union's FP7 ERC Starting Grant [DyBHo-256667]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development and Innovation
- European Community [aStronGR-2011-298297]
- NRHEP [295189]
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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 mu(2) = 2 Lambda/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.
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