The Einstein-Hilbert action, horizons and connections with thermodynamics

zbMATH Open1250.83005arXiv1111.5068MaRDI QIDQ2907642

Paul Bracken

Publication date: 11 September 2012

Published in: Advanced Studies in Theoretical Physics (Search for Journal in Brave)

Abstract: It is shown that the Einstein-Hilbert action can be constructed by minimizing free energy. The entropy used to determine the free energy is determined on the horizon of a black hole. Some further considerations with regard to generalizations of these ideas to other situations of physical importance are presented as well.

Full work available at URL: https://arxiv.org/abs/1111.5068

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classical and relativistic thermodynamics (80A10) Measures of information, entropy (94A17)

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