RINDLER SOLUTIONS AND THEIR PHYSICAL INTERPRETATION

We show that the singular behavior of Rindler solutions near horizon t estifies 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 posi tive- or only negative-frequency plane waves; these states require inf inite energy for their creation and possess infinite charge in a finit e space interval, containing the horizon. The positive- or negative-fr equency representations of Rindler solutions analytically continued to the whole Minkowski space make up a complete set of states in this sp ace, which have, however, the aforementioned singularities. These posi tive (negative)-frequency states are characterized by positive (negati ve) total charge, the charge of the same sign in right (left) Rindler sector and by quantum number kappa. But in other Lorentz invariant sec tors they do not possess positive (negative)-definite charge density a nd have negative (positive) charge in left (right) Rindler sector. The refore these states describe both the particle (antiparticle) and pair s, the mean number of which is given by Planck function of kappa. Thes e 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. (C) 1998 American Institute of Physics. [S1063-7761(98)00209-1].