Apparent violation of the principle of equivalence and killing horizons

Details Apparent violation of the principle of equivalence and killing horizons Apparent violation of the principle of equivalence and killing horizons

Nov 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..935z&link_type=abstract

General Relativity and Gravitation, vol. 12, Nov. 1980, p. 935-943.

Astronomy and Astrophysics

Astronomy

2

Equivalence, Particle Acceleration, Relativity, Schwarzschild Metric, Astronomical Models, Gravitational Effects, Red Shift, Vacuum

Scientific paper

By means of the principle of equivalence the qualitative behavior of the Schwarzschild horizon about a uniformly accelerating particle was deduced. This result is confirmed for an exact solution of a uniformly accelerating object in the limit of small accelerations. For large accelerations the Schwarzschild horizon appears to violate the qualitative behavior established via the principle of equivalence. When similar arguments are extended to an observable such as the red shift between two observers, there is no departure from the results expected from the principle of equivalence. The resolution of the paradox is brought about by a compensating effect due to the Rindler horizon.

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