Under the null convergence condition and χ_α=0, connected compact totally geodesic null hypersurfaces in Finsler spacetimes have constant surface gravity.
Finsler metrics and relativistic spacetimes
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abstract
Recent links between Finsler Geometry and the geometry of spacetimes are briefly revisited, and prospective ideas and results are explained. Special attention is paid to geometric problems with a direct motivation in Relativity and other parts of Physics.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Totally geodesic null hypersurfaces and constancy of surface gravity in Finsler spacetimes
Under the null convergence condition and χ_α=0, connected compact totally geodesic null hypersurfaces in Finsler spacetimes have constant surface gravity.