Sharp lower bound for the charged Hawking mass in the electrostatic space

Fuente: arXiv
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Autores principales: Leandro, Benedito, Sabo, Guilherme
Formato: Preprint
Publicado: 2025
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author Leandro, Benedito
Sabo, Guilherme
author_facet Leandro, Benedito
Sabo, Guilherme
contents We prove sharp lower bounds for the charged Hawking mass of stable surfaces in electrostatic space-times in various contexts. An upper bound for the genus of stable surfaces in the electrostatic system is provided. We also study the positivity for the charged Hawking mass of a minimal surface with index one in the electrostatic space-times. A criterion for a CMC surface in the Reissner-Nordstrom deSitter space to be stable is presented.
format Preprint
id arxiv_https___arxiv_org_abs_2507_03353
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sharp lower bound for the charged Hawking mass in the electrostatic space
Leandro, Benedito
Sabo, Guilherme
Differential Geometry
General Relativity and Quantum Cosmology
We prove sharp lower bounds for the charged Hawking mass of stable surfaces in electrostatic space-times in various contexts. An upper bound for the genus of stable surfaces in the electrostatic system is provided. We also study the positivity for the charged Hawking mass of a minimal surface with index one in the electrostatic space-times. A criterion for a CMC surface in the Reissner-Nordstrom deSitter space to be stable is presented.
title Sharp lower bound for the charged Hawking mass in the electrostatic space
topic Differential Geometry
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2507.03353