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arXiv · hep-th/9912013

Surface counterterms and boundary stress-energy tensors for asymptotically non-anti-de Sitter spaces

Rong-Gen Cai·Nobuyoshi Ohta
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Abstract

For spaces which are not asymptotically anti-de Sitter where the asymptotic behavior is deformed by replacing the cosmological constant by a dilaton scalar potential, we show that it is possible to have well-defined boundary stress-energy tensors and finite Euclidean actions by adding appropriate surface counterterms. We illustrate the method by the examples of domain-wall black holes in gauged supergravities, three-dimensional dilaton black holes and topological dilaton black holes in four dimensions. We calculate the boundary stress-energy tensor and Euclidean action of these black configurations and discuss their thermodynamics. We find new features of topological black hole thermodynamics.

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Rong-Gen Cai, Nobuyoshi Ohta. 1999-12-02. Surface counterterms and boundary stress-energy tensors for asymptotically non-anti-de Sitter spaces. https://doi.org/10.1103/physrevd.62.024006

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