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arXiv · 2507.03353

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

Benedito Leandro·Guilherme Sabo
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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.

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Benedito Leandro, Guilherme Sabo. 2025-07-04. Sharp lower bound for the charged Hawking mass in the electrostatic space. https://arxiv.org/abs/2507.03353

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