Under the null convergence condition and χ_α=0, connected compact totally geodesic null hypersurfaces in Finsler spacetimes have constant surface gravity.
Light cones in Finsler spacetime
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abstract
Some foundational results on the geometry of Lorentz-Minkowski spaces and Finsler spacetimes are obtained. We prove that the local light cone structure of a reversible Finsler spacetime with more than two dimensions is topologically the same as that of Lorentzian spacetimes: at each point we have just two strictly convex causal cones which intersect only at the origin. Moreover, we prove a reverse Cauchy-Schwarz inequality for these spaces and a corresponding reverse triangle inequality. The Legendre map is proved to be a diffeomorphism in the general pseudo-Finsler case provided the dimension is larger than two.
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gr-qc 2years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
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Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
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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.
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Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.