Mean-stable surfaces in static Einstein–Maxwell theory

We use the theory of mean-stable surfaces (stable minimal surfaces included) to explore the static Einstein–Maxwell space-time. We first prove that the zero set of the lapse function must be contained in the horizon boundary. Then, we explore some implications of it providing some results of the non...

Full description

Saved in:
Bibliographic Details
Published inLetters in mathematical physics Vol. 112; no. 6
Main Authors Coutinho, Fernando, Leandro, Benedito
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.12.2022
Springer Nature B.V
Subjects
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Minimal surfaces
Physics
Physics and Astronomy
Theoretical
83C05
53A10
Electro-vacuum
Asymptotically flat
Constant mean curvature
83C22
Minimal surface
Online AccessGet full text

Cover

More Information
Summary:We use the theory of mean-stable surfaces (stable minimal surfaces included) to explore the static Einstein–Maxwell space-time. We first prove that the zero set of the lapse function must be contained in the horizon boundary. Then, we explore some implications of it providing some results of the nonexistence of stable minimal surfaces in the interior of an electrostatic space, subject to certain initial-boundary data. We finish by proving that the ADM mass is bounded from above by the Hawking quasi-local mass with charge.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-022-01623-1