Birkhoff Theorem for Berwald Finsler spacetimes

Author:

Nicoleta Voicu, Christian Pfeifer, Samira Cheraghchi

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph)

journal:

date:

2023-06-12 16:00:00

Abstract

We prove that all Ricci-flat, spatially spherically symmetric Berwald spacetime structures are either pseudo-Riemannian (Lorentzian), or flat. This insight enables us to formulate a Jebsen-Birkhoff type theorem for Berwald spacetimes.

PDF: Birkhoff Theorem for Berwald Finsler spacetimes.pdf