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14 June 2024
 
  » arxiv » gr-qc/9406042

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A Simple Stationary Line Element for the Schwarzschild Geometry, and Some Applications
Per Kraus ; Frank Wilczek ;
Date 23 Jun 1994
Subject gr-qc hep-th
AbstractGuided 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.
Source arXiv, gr-qc/9406042
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