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Properties of Bigravity Solutions in a Solvable Class · Around

2013

Properties of Bigravity Solutions in a Solvable Class

Katsuragawa, Taishi

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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 $C\neq1$ 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.

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