Metrics of Horowitz-Myers type with the negative constant scalar curvature

Abstract

We construct a one-parameter family of complete metrics of Horowitz-Myers type with the negative constant scalar curvature. We also verify a positive energy conjecture of Horowitz-Myers for these metrics.

arXiv comment12 pages, to appear in J Math Phys

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Cited by in corpus (1)

• The positive energy conjecture for a class of AHM metrics on ${\mathbb{R}}^2\times {\mathbb{T}}^{n-2}$