What question did this study set out to answer?

This research aims to derive the thermodynamic properties of charged, rotating black holes using complex geometry.

May 6, 1991Physical Review Letters139 citations

Complex Kerr-Newman geometry and black-hole thermodynamics

JBJ. BrownNorth Carolina State University EMErik A. MartinezUniversity of North Carolina at Chapel Hill JYJames W. YorkUniversity of North Carolina at Chapel Hill

Key Points

This research aims to derive the thermodynamic properties of charged, rotating black holes using complex geometry.
Established a functional-integral expression for the grand partition function.
Constructed a real thermodynamic action based on this expression.
Identified key thermodynamic properties from the derived actions.
Demonstrated the relationship between complex geometry and these properties.

Abstract

We establish that in the functional-integral expression for the grand partition function, the thermodynamic properties of a charged, rotating black hole are derived from a complex geometry. The corresponding real ``thermodynamical'' action is constructed explicitly.

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