The notion of entropy in the applications to General Relativity is reviewed. A definition resembling the Clausius formulation in classical gas thermodynamics is considered and analyzed by an extensive use of the geometrical framework for field theories and Nöther theorem. A complete correspondence with Brown-York original formulation of the first principle of black hole thermodynamics is finally established.
Entropy in General Relativity
FATIBENE, Lorenzo;FERRARIS, Marco;FRANCAVIGLIA, Mauro;RAITERI, Marco
2002-01-01
Abstract
The notion of entropy in the applications to General Relativity is reviewed. A definition resembling the Clausius formulation in classical gas thermodynamics is considered and analyzed by an extensive use of the geometrical framework for field theories and Nöther theorem. A complete correspondence with Brown-York original formulation of the first principle of black hole thermodynamics is finally established.
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