In this paper the authors review their results, obtained in recent years, on the application of the Noether theorem to the calculation of entropy for singular solutions of Einstein field equations. These results are based on a geometrical definition of entropy by requiring that they satisfy a form of the first principle of black hole thermodynamics in which mass and angular momentum are calculated via the Noether theorem, while the temperature and the angular velocity are considered as given.
Nöther conserved quantities and entropy in general relativity
ALLEMANDI, GIANLUCA;FATIBENE, Lorenzo;FERRARIS, Marco;FRANCAVIGLIA, Mauro;RAITERI, Marco
2002-01-01
Abstract
In this paper the authors review their results, obtained in recent years, on the application of the Noether theorem to the calculation of entropy for singular solutions of Einstein field equations. These results are based on a geometrical definition of entropy by requiring that they satisfy a form of the first principle of black hole thermodynamics in which mass and angular momentum are calculated via the Noether theorem, while the temperature and the angular velocity are considered as given.
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