A divergence theorem for pseudo-Finsler spaces

Abstract

We study the divergence theorem on pseudo-Finsler spaces and obtain a completely Finslerian version for spaces having a vanishing mean Cartan torsion. This result helps to clarify the problem of energy-momentum conservation in Finsler gravity theories.

Latex2e, 9 pages

References in corpus (6)

• Light cones in Finsler spacetime
• The connections of pseudo-Finsler spaces
• On Hadamard's global inverse function theorem (On global inversion of homogeneous maps)
• An equivalence of Finslerian relativistic theories
• Affine sphere relativity
• Affine sphere spacetimes which satisfy the relativity principle

Cited by in corpus (2)

• On the significance of the stress-energy tensor in Finsler spacetimes
• Towards a Probabilistic Foundation of Relativistic Quantum Theory: The One-Body Born Rule in Curved Spacetime