TY - JOUR

T1 - Charged black holes in nonlinear massive gravity

AU - Cai, Yi Fu

AU - Easson, Damien

AU - Gao, Caixia

AU - Saridakis, Emmanuel N.

N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2013/3/4

Y1 - 2013/3/4

N2 - We find static charged black hole solutions in nonlinear massive gravity. In the parameter space of two gravitational potential parameters (α,β) we show that below the Compton wavelength the black hole solutions reduce to that of Reissner-Nordström via the Vainshtein mechanism in the weak-field limit. In the simplest case with α=β=0 the solution exhibits the van Dam-Veltman-Zakharov discontinuity but ordinary general relativity is recovered deep inside the horizon due to the existence of electric charge, though this case is observationally excluded. For α≠0 and β=0, the post-Newtonian parameter of the charged black hole evolves to that of general relativity via the Vainshtein mechanism within a macroscopic distance; however, a logarithmic correction to the metric factor of the time coordinate is obtained. When α and β are both nonzero, there exist two branches of solutions depending on the positivity of β. When β<0, the strong coupling of the scalar graviton weakens gravity at distances smaller than the Vainshtein radius. However, when β>0 the metric factors exhibit only small corrections compared to the solutions obtained in general relativity, and under a particular choice of β=α2/6 the standard Reissner-Nordström-de Sitter solution is recovered.

AB - We find static charged black hole solutions in nonlinear massive gravity. In the parameter space of two gravitational potential parameters (α,β) we show that below the Compton wavelength the black hole solutions reduce to that of Reissner-Nordström via the Vainshtein mechanism in the weak-field limit. In the simplest case with α=β=0 the solution exhibits the van Dam-Veltman-Zakharov discontinuity but ordinary general relativity is recovered deep inside the horizon due to the existence of electric charge, though this case is observationally excluded. For α≠0 and β=0, the post-Newtonian parameter of the charged black hole evolves to that of general relativity via the Vainshtein mechanism within a macroscopic distance; however, a logarithmic correction to the metric factor of the time coordinate is obtained. When α and β are both nonzero, there exist two branches of solutions depending on the positivity of β. When β<0, the strong coupling of the scalar graviton weakens gravity at distances smaller than the Vainshtein radius. However, when β>0 the metric factors exhibit only small corrections compared to the solutions obtained in general relativity, and under a particular choice of β=α2/6 the standard Reissner-Nordström-de Sitter solution is recovered.

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U2 - 10.1103/PhysRevD.87.064001

DO - 10.1103/PhysRevD.87.064001

M3 - Article

AN - SCOPUS:84875179599

VL - 87

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 6

M1 - 064001

ER -