Remarks on Noether charges and black holes entropy
Lorenzo Fatibene, Marco Ferraris, Mauro Francaviglia, Marco Raiteri
TL;DR
This paper critiques and extends the understanding of Noether charges in black hole thermodynamics, proving the first law for gauge-natural theories and analyzing specific solutions like Kerr-Newman and (1+2) black holes.
Contribution
It generalizes properties of Noether charges and proves the first law of black hole thermodynamics for gauge-natural field theories, with applications to charged Kerr-Newman and lower-dimensional black holes.
Findings
Proved the first law of black hole thermodynamics for gauge-natural theories.
Critiqued and generalized properties of Noether charges.
Analyzed specific black hole solutions like Kerr-Newman and (1+2) black holes.
Abstract
We criticize and generalize some properties of Noether charges presented in a paper by V. Iyer and R. M. Wald and their application to entropy of black holes. The first law of black holes thermodynamics is proven for any gauge-natural field theory. As an application charged Kerr-Newman solutions are considered. As a further example we consider a (1+2) black hole solution.
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