Thermodynamic structure of field equations near apparent horizon for radiating black holes

2014/10/30 by Uma Papnoi, Megandhren Govender, Megan Govender +2
Physics and Astronomy · #Apparent horizon #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Event horizon #Field (mathematics) #Field equation #Gravitation #Gravitational field #Horizon #Mathematical physics #Null (SQL) #Physics #Theoretical physics #gr-qc

paper · pdf · doi:10.1142/s0217732314501880

published as Modern Physics Letters A Vol. 29, No. 34 (2014) 1450188

openalex publication_date 2014/10/30 · arxiv created 2014/11/10 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the intriguing analogy between gravitational dynamics of the horizon and thermodynamics for the case of nonstationary radiating spherically symmetric black holes both in four dimensions and higher dimensions. By defining all kinematical parameters of nonstationary radiating black holes in terms of null vectors, we demonstrate that it is possible to interpret the Einstein field equations near the apparent horizon in the form of a thermodynamical identity T dS = dE+P dV.

Citations

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