Black hole thermodynamics and Hamilton–Jacobi counterterm

Luzi Bergamin, Daniel Grumiller, Robert McNees, René Meyer
2008 Journal of Physics A: Mathematical and Theoretical  
We review the construction of the universal Hamilton-Jacobi counterterm for dilaton gravity in two dimensions, derive the corresponding result in the Cartan formulation and elaborate further upon black hole thermodynamics and semi-classical corrections. Applications include spherically symmetric black holes in arbitrary dimensions with Minkowski- or AdS-asymptotics, the BTZ black hole and black holes in two-dimensional string theory.
doi:10.1088/1751-8113/41/16/164068 fatcat:23hfzotitbbl3mfxmp5yvi5nbi