2013/06/24 by Ernesto Frodden, Amit Ghosh, Alejandro Pérez · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Cosmology and Gravitation Theories #Physics #Semiclassical physics #Loop quantum gravity #Horizon #Context (archaeology) #Black hole (networking) #Mathematical physics #First law of thermodynamics #Black hole thermodynamics #Quantum gravity #Quantum #Quantum mechanics
paper · doi:10.1103/physrevd.87.121503
openalex publication_date 2013/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We first show that stationary black holes satisfy an extremely simple quasilocal form of the first law, \ensuremathδE=\frac\ensuremathκ8\ensuremathπ\ensuremathδA, where the (quasilocal) energy E=A/(8\ensuremathπ\ensuremathℓ) and (local) surface gravity \ensuremathκ=1/\ensuremathℓ, with A the horizon area and \ensuremathℓ is a proper length characterizing the distance to the horizon of a preferred family of quasilocal observers suitable for thermodynamical considerations. Our construction is extended to the more general framework of isolated horizons. The local surface gravity is universal. This has important implications for semiclassical considerations of black hole physics as well as for the fundamental quantum description arising in the context of loop quantum gravity.