2013/12/05 by Taishi Katsuragawa · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Central charge #Charge (physics) #Cosmological constant #Cosmology and Gravitation Theories #Entropy (arrow of time) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Virasoro algebra #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.89.124007
published as Phys. Rev. D 89, 124007 (2014) · 12 pages, 7 figures
arxiv created 2013/12/05 · openalex publication_date 2014/06/06 · arxiv updated 2014/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the properties of solutions in the bigravity theory for a wide class of models, which are parametrized by two parameters \ensuremathα3 and \ensuremathα4. Assuming that two metric tensors g_\ensuremathμ\ensuremathν and f_\ensuremathμ\ensuremathν satisfy the condition f_\ensuremathμ\ensuremathν=C2g_\ensuremathμ\ensuremathν, where C is a constant, we investigate the conditions for the parameters so that the solutions with C\ensuremath≠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 where we use the Virasoro algebra and the central charge corresponding to the surface term in the action.