Thermodynamics of scalar fields in Kerr's geometry
Guido Cognola
TL;DR
This paper investigates the one-loop entropy contributions of a massive scalar field in Kerr black hole spacetime using an approximate metric approach, revealing divergences near the event horizon similar to Schwarzschild black holes.
Contribution
It introduces an approximation method for analyzing scalar field entropy in Kerr geometry, extending previous Schwarzschild results to rotating black holes.
Findings
Entropy diverges near the event horizon.
Method applies a conformal transformation to simplify calculations.
Results align with known divergences in black hole entropy.
Abstract
The one-loop contributions to the entropy for a massive scalar field in a Kerr black hole are investigated using an approximation of the metric, which, after a conformal transformation, permits to work in a Rindler-like spacetime. Of course, as for the Schwarzschild case, the entropy is divergent in the proximity of the event horizon.
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