A Minkowski inequality for Horowitz-Myers geon
Differential Geometry
2021-03-16 v2 General Relativity and Quantum Cosmology
Abstract
We prove a sharp inequality for toroidal hypersurfaces in three and four dimensional Horowitz-Myers geon. This extend previous results on Minkowski inequality in the static spacetime to toroidal surfaces in asymptotically hyperbolic manifold with flat toroidal conformal infinity.
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Cite
@article{arxiv.2103.07421,
title = {A Minkowski inequality for Horowitz-Myers geon},
author = {Aghil Alaee and Pei-Ken Hung},
journal= {arXiv preprint arXiv:2103.07421},
year = {2021}
}
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20 pages