Physics – Nuclear Physics
Scientific paper
Aug 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993nuphb.403..770d&link_type=abstract
Nuclear Physics B, Volume 403, Issue 3, p. 770-808.
Physics
Nuclear Physics
14
Scientific paper
The quantization of a scalar field on a spacetime representing the head on collision of two gravitational plane waves is studied. In the spacetime considered the waves focus into a non-singular Killing-Cauchy horizon. The interaction region of the waves is locally isometric to a region inside the event horizon of a Schwarzschild black hole with the Killing-Cauchy horizon corresponding to the event horizon. Two unambiguous and physically meaningful quantum vacuum states may be defined: the ``in'' vacuum associated to the positive-frequency mode solutions in the flat region before the collision of the waves and the ``out'' vacuum related to the positive-frequency modes defined through the two null vector fields on the Killing-Cauchy horizon. It is found that the ``in'' vacuum contains a number of ``out'' particles which is proportional to the inverse of the frequency. In the long-wavelength limit the spectrum is consistent with a thermal spectrum at a temperature which is inversely proportional to the focusing time of the gravitational plane waves.
Dorca Miquel
Verdaguer Enric
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