Rindler solutions and their physical interpretation |
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Authors: | A I Nikishov V I Ritus |
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Institution: | (1) Department of Theoretical Physics, P. N. Lebedev Physical Institute of, Russian Academy of Sciences, 117924 Moscow, Russia |
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Abstract: | We show that the singular behavior of Rindler solutions near horizon testifies to the currents of particles from a region
arbitrarily close to the horizon. Besides, the Rindler solutions in right Rindler sector of Minkowski space can be represented
as a superposition of only positive-or only negative-frequency plane waves; these states require infinite energy for their
creation and possess infinite charge in a finite space interval, containing the horizon. The positive-or negative-frequency
representations of Rindler solutions analytically continued to the whole Minkowski space make up a complete set of states
in this space, which have, however, the aforementioned singularities. These positive (negative)-frequency states are characterized
by positive (negative) total charge, the charge of the same sign in right (left) Rindler sector and by quantum number κ. But in other Lorentz invariant sectors they do not possess positive (negative)-definite charge density and have negative
(positive) charge in left (right) Rindler sector. Therefore these states describe both the particle (antiparticle) and pairs,
the mean number of which is given by Planck function of κ. These peculiarities make the Rindler set of solutions nonequivalent to the plane wave set and the inference on the existence
of thermal currents for a Rindler observer moving in empty Minkowski space is unfounded.
Zh. éksp. Teor. Fiz. 114, 777–785 (September 1998)
Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor. |
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