Sharp lower bound for the charged Hawking mass in the electrostatic space
Differential Geometry
2025-07-08 v1 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.2507.03353,
title = {Sharp lower bound for the charged Hawking mass in the electrostatic space},
author = {Benedito Leandro and Guilherme Sabo},
journal= {arXiv preprint arXiv:2507.03353},
year = {2025}
}
Comments
to appear: Mathematical Research Letters 2025