A Simple Stationary Line Element for the Schwarzschild Geometry, and Some Applications
General Relativity and Quantum Cosmology
2009-09-25 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.gr-qc/9406042,
title = {A Simple Stationary Line Element for the Schwarzschild Geometry, and Some Applications},
author = {Per Kraus and Frank Wilczek},
journal= {arXiv preprint arXiv:gr-qc/9406042},
year = {2009}
}
Comments
12 pages, 1 figure postscript file attached (also available upon request), use Phyzzx, PUPT 1474, IASSNS-HEP 94/46