Hamiltonian Thermodynamics of Charged Black Holes

A.J.M. Medved (University of Manitoba); G. Kunstatter (University of Winnipeg)

arxiv: hep-th/9811052 · v1 · pith:4NIZTPJ6new · submitted 1998-11-05 · ✦ hep-th · gr-qc

Hamiltonian Thermodynamics of Charged Black Holes

A.J.M. Medved (University of Manitoba) , G. Kunstatter (University of Winnipeg) This is my paper

classification ✦ hep-th gr-qc

keywords blackfieldholeabelianactionchargedcontainsdilaton

0 comments

read the original abstract

We consider the most general diffeomorphism invariant action in 1+1 spacetime dimensions that contains a metric, dilaton and Abelian gauge field, and has at most second derivatives of the fields. Our action contains a topological term (linear in the Abelian field strength) that has not been considered in previous work. We impose boundary conditions appropriate for a charged black hole confined to a region bounded by a surface of fixed dilaton field and temperature. By making some simplifying assumptions about the quantum theory, the Hamiltonian partition function is obtained. This partition function is analyzed in some detail for the Reissner-Nordstrom black hole and for the rotating BTZ black hole.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
gr-qc 2026-04 unverdicted novelty 5.0

GUP with minimal length and maximal momentum applied to Schwarzschild black holes yields finite discrete mass spectrum, maximum mass, and constrains the GUP parameter to β ≲ 10^{-98} from astrophysical data.