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arXiv · hep-th/9701099

Geometric Entropy and Curvature Coupling in Conical Spaces: zeta Function Approach

Valter Moretti
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Abstract

The local $ζ-$function approach is implemented to regularize the natural path integral definition of the geometric entropy in the large mass black hole Euclidean manifold. The case of a massless field coupled with the (off-shell) singular curvature is considered. It is proved that the geometric entropy is independent of the curvature coupling parameter $ξ$ avoiding negative values obtained in other approaches.

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Valter Moretti. 1997-03-06. Geometric Entropy and Curvature Coupling in Conical Spaces: zeta Function Approach. https://doi.org/10.1088/0264-9381%2F14%2F5%2F009

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