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A Simple Stationary Line Element for the Schwarzschild Geometry, and Some Applications

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arxiv gr-qc/9406042 v2 pith:UCEEFR3E submitted 1994-06-23 gr-qc hep-th

classification gr-qchep-th
keywords elementgeometrylinesimpleradianceschwarzschildstationarytreatment
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Guided by a Hamiltonian treatment of spherically symmetric geometry, we find a remarkably simple -- stationary, but not static -- form for the line element of Schwarzschild (and Reissner-Nordstrom) geometry. The line element continues smoothly through the horizon; by exploiting this feature we are able to give a very simple and physically transparent derivation of the Hawking radiance. We construct the complete Penrose diagram by enforcing time-reversal symmetry. Finally we outline how an improved treatment of the radiance, including effects of self-gravitation, can be obtained.

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  1. Simulating Hawking radiation in quantum many-body systems: deviations from the thermal spectrum

    gr-qc 2025-02 conditional novelty 5.0 of 10

    A bosonic hopping model that emulates quantum fields in curved spacetime is shown to reproduce the non-thermal E^2 corrections to Hawking radiation predicted by the tunneling method.

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