Rotating black holes, complex geometry, and thermodynamics

Details Rotating black holes, complex geometry, and thermodynamics Rotating black holes, complex geometry, and thermodynamics

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nyasa.631..225b&link_type=abstract

(Nonlinear problems in relativity and cosmology; Proceedings of the 6th Florida Workshop in Nonlinear Astronomy, Gainesville, Oc

Astronomy and Astrophysics

Astronomy

6

Black Holes (Astronomy), Stellar Rotation, Thermodynamics, Variational Principles, Weighting Functions, Angular Momentum, Einstein Equations, Euclidean Geometry, Hamiltonian Functions

Scientific paper

This paper treats the metric of a rotating hole (or star) by a method that leads to a complex metric. Its corresponding real thermodynamical action is obtained, and it is indicated how this action is to be used in a well-posed variational principle whose extrema capture the properties of physical rotating black holes. This final step includes an explicit description of the boundary conditions and is essential in obtaining all of black hole thermodynamics from a stationary phase approximation to a path integral representation of a partition function.

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