2015/02/28 by Ya-Peng Hu, Hongsheng Zhang · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gravitation #Massive gravity #Negative mass #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum mechanics #Semiclassical gravity #Spacetime #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.92.024006
published as Phys.Rev. D92 (2015) 024006 · 11 pages, no figure, version published in PRD
openalex publication_date 2015/07/02 · arxiv created 2015/07/08 · arxiv updated 2016/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain the Misner-Sharp mass in massive gravity for a four-dimensional spacetime with a two-dimensional maximally symmetric subspace via the inverse unified first law method. Significantly, the stress energy is conserved in this case with a general reference metric. Based on this property, we confirm the derived Misner-Sharp mass by the conserved charge method. We find that the existence of the Misner-Sharp mass in this case does not lead to extra constraint for the massive gravity, which is notable in modified gravities. In addition, as a special case, we also investigate the Misner-Sharp mass in the static spacetime. We make a concise discussion of the stability problem in frame of the massive gravity in consideration. Especially, we take the FRW universe into account for investigating the thermodynamics of the massive gravity. The result shows that the massive gravity can be in thermodynamic equilibrium, which fills in the gap in the previous studies of thermodynamics in the massive gravity.