Noether current from surface term, Virasoro algebra and black hole entropy in bigravity

Abstract

We consider the static, spherically symmetric black hole solutions in bigravity theory for minimal model with a condition $f_{\mu \nu }=C^2{g}_{\mu \nu }$ and evaluate the entropy for black holes. In this condition, we show that there exists the Schwarzschild solution for $C^2=1$, which is unique consistent solution. We examine how the massive spin-2 field contributes and affects to the Bekenstein-Hawking entropy corresponding to Einstein gravity. In order to obtain the black hole entropy, we use a recently proposed approach which use Virasoro algebra and central charge corresponding to surface term in the gravitational action.

7 pages, version to appear in Physical Review D

References in corpus (6)

• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Ghost-free $F(R)$ bigravity and accelerating cosmology
• Variety of cosmic acceleration models from massive $F(R)$ bigravity
• Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy
• Conserved quantities and Virasoro algebra in New massive gravity
• Surface term, Virasoro algebra, and Wald entropy of black holes in higher-curvature gravity

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• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
• Entropy of isolated horizon from surface term of gravitational action
• GR-GSG Hybrid Gravity
• Geometrical effective actions for a partially massless spin-2 field
• Relativistic star solutions in Mass-varying Massive Gravity with a diagonal metric
• New model of massive spin two field