Compact totally geodesic hypersurfaces in Lorentz-Finsler geometry and their surface gravity

Organizers

Piotr Chrusciel , Puskar Mondal , Bowen Zhao

Speaker

Ettore Minguzzi

Time

Tuesday, June 2, 2026 4:30 PM - 5:30 PM

Venue

A3-3-201

Online

Zoom 712 322 9571 (BIMSA)

Abstract

We introduce some elements of Lorentz-Finsler geometry. Then we present a definition of totally geodesic hypersurface in Lorentz-Finsler geometry, which allows for the Finslerian generalization of a number of results from Lorentzian geometry, including a proof that under the null energy condition, provided some additional conditions hold, the surface gravity is constant. Given the interpretation of surface gravity as temperature, this result expresses the zeroth law of
thermodynamics and can be used to support specific Finslerian gravitational equations.