The Bekenstein-Hawking Entropy of Higher-Dimensional Rotating Black Holes
Zheng Ze Ma
TL;DR
This paper proves that, ignoring quantum corrections, the Bekenstein-Hawking entropy of higher-dimensional rotating black holes equals one-fourth of their horizon area, using the Euclidean path-integral method.
Contribution
It provides a general proof extending the Bekenstein-Hawking entropy formula to higher-dimensional rotating black holes.
Findings
Entropy equals one-fourth of horizon area for higher-dimensional rotating black holes
Uses Euclidean path-integral method for the proof
Ignores quantum corrections in the analysis
Abstract
A black hole can be regarded as a thermodynamic system described by a grand canonical ensemble. In this paper, we study the Bekenstein-Hawking entropy of higher-dimensional rotating black holes using the Euclidean path-integral method of Gibbons and Hawking. We give a general proof demonstrating that ignoring quantum corrections, the Bekenstein-Hawking entropy is equal to one-fourth of its horizon area for general higher-dimensional rotating black holes.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Pulsars and Gravitational Waves Research