Stochastically complete constant mean curvature spacelike hypersurfaces in Generalized Robertson-Walker spacetimes

Stochastically complete spacelike hypersurfaces in Generalized Robertson-Walker (GRW) spacetimes whose constant mean curvature satisfies a natural bound are studied. When the GRW spacetime obeys certain energy conditions we obtain new characterization results for these hypersurfaces. Moreover, we derive several applications for physically relevant models.

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Publication Details

Journal
Journal of Geometry and Physics
Published
2025-05-07
DOI
https://doi.org/10.1016/j.geomphys.2025.105522
Citations
1
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
3.73

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article

Stochastically complete constant mean curvature spacelike hypersurfaces in Generalized Robertson-Walker spacetimes

José A. S. Pelegrín, Mário Medina
1 citations
Journal of Geometry and Physics
Geometric Analysis and Curvature Flows
3.73
article

Stochastically complete constant mean curvature spacelike hypersurfaces in Generalized Robertson-Walker spacetimes

José A. S. Pelegrín, Mário Medina
article en
1 citations

Abstract

Stochastically complete spacelike hypersurfaces in Generalized Robertson-Walker (GRW) spacetimes whose constant mean curvature satisfies a natural bound are studied. When the GRW spacetime obeys certain energy conditions we obtain new characterization results for these hypersurfaces. Moreover, we derive several applications for physically relevant models.

Journal of Geometry and PhysicsVol. 214
University of Córdoba (ES)
Ministerio de Ciencia e Innovación
Openalex Percentile: Top 11%
Geometric Analysis and Curvature Flows
3.73
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