Properties of Bigravity Solutions in a Solvable Class

Abstract

We consider the properties of solutions in the bigravity theory for general models, which are parametrized by two parameters ${\alpha }_3$ and ${\alpha }_4$. Assuming that two metric tensors $g_{\mu \nu }$ and $f_{\mu \nu }$ satisfy the condition $f_{\mu \nu }=C^2{g}_{\mu \nu }$ where $C$ is a constant, we investigate the conditions for the parameters so that the solutions with $C\ne 1$ could exist. We also discuss the magnitude and the sign of corresponding cosmological constants. For the black hole solution, we consider the black hole entropy to which the massive spin-$2$ field contributes. In order to obtain the black hole entropy, we take an approach which uses the Virasoro algebra and the central charge corresponding to the surface term in the action.

12 pages, 7 figures

References in corpus (4)

• Resummation of Massive Gravity
• Interacting Spin-2 Fields
• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• A note on bigravity and dark matter

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• Screened and Unscreened Solutions for Relativistic Star in de Rham-Gabadadze-Tolley (dRGT) Massive Gravity
• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
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• 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
• Cosmological Solution Moduli of Bigravity