2018/05/30 by Rachel A. Rosen, Rachel A Rosen · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Charged black hole #Classical mechanics #Cosmology and Gravitation Theories #Event horizon #Extremal black hole #Gravitation #Graviton #Horizon #Massive gravity #Mathematical physics #Minkowski space #Noncommutative and Quantum Gravity Theories #Nonsingular black hole models #Physics #Schwarzschild radius #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.98.104008
published in Physical review. D/Physical review. D. 98(10) (American Physical Society) · 5 pages
arxiv created 2018/05/30 · openalex publication_date 2018/11/09 · arxiv updated 2018/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It has been argued that black hole solutions become unavoidably time-dependent when the graviton has a mass. In this work we show that, if the apparent horizon of the black hole is a null surface with respect to a fiducial Minkowski reference metric, then there is a natural sense in which the location of the horizon is necessarily time-independent, despite the dynamical metric possessing no time-like Killing vector. We derive a second law of black hole mechanics for these black holes and determine their surface gravity. An additional assumption establishes a zeroth and a first law of black hole mechanics. These results are nonperturbative and model-independent. We apply these results to the specific model of dRGT ghost-free massive gravity and show that consistent solutions exist which obey the required assumptions. We determine the time-dependent scalar curvature at the horizon of these black holes.