Work

The Penrose singularity theorem, MOTS stability, and horizon topology in weighted spacetimes

Year: 2026

Type: article

Abstract: We consider versions of the Penrose singularity theorem and the Hawking horizon topology theorem in weighted spacetimes that contain weighted versions of trapped surfaces, for arbitrary spacetime dimension and synthetic dimension. We find that suitable generalizations of the unweighted theorems hold under weighted energy conditions. Our results also provide further evidence in favour of a weighted scalar curvature that differs from the trace of the weighted Ricci curvature. When the synthetic dimension is a positive integer, these weighted curvatures have a natural interpretation in terms of warped product metrics.

Source: Letters in Mathematical Physics

DOI: 10.1007/s11005-026-02050-2

Authors: Eric Ling, Argam Ohanyan, Eric Woolgar

Institutions: University of Copenhagen, University of Toronto, University of Alberta

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Danmarks Grundforskningsfond, Austrian Science Fund, Carlsbergfondet, Natural Sciences and Engineering Research Council of Canada