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arXiv · 2607.09506

Causal Space-Time Structure and non-Hausdorff Extension of Schwarzschild Black Hole Interior

Asya Aynbund·V. V. Kiselev
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Abstract

Cones of future and past are rigorously constructed under the horizon of black hole by completions of geodesics continued from causally connected space-time regions outside the black hole interior. Treating the Schwarzschild black hole as a zero charge limit of Reissner--Nordsr\o m black hole reforms the Penrose--Carter diagram into the infinite band that excludes the closed proper-time cycles under the geodesic motion. The marginal trajectories between the cones of future and past compose paths common with a compact non-Hausdorff spherical extension of black hole interior forming the thermal bath for particles fallen to the black hole.

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Asya Aynbund, V. V. Kiselev. 2026-07-10. Causal Space-Time Structure and non-Hausdorff Extension of Schwarzschild Black Hole Interior. https://arxiv.org/abs/2607.09506

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