ON THE CONFIGURATION SPACE OF A SPHERICALLY SYMMETRIC SYSTEM OF GRAVITATIONAL AND ELECTROMAGNETIC FIELDS
Journal Title: Odessa Astronomical Publications - Year 2018, Vol 31, Issue
Abstract
We study some classical and quantum aspects of the con_guration space for a sphericallysymmetric (SS) system of gravitational and electromagnetic _elds. Note that this _elds con_gurations, which are stationary respect to external observer, have regions of space-time (S-T) with dynamic behavior. This means that in these regions there exists an evolution of the S-T geometry in time, which is responsible for both classical and quantum mechanical properties of the model. From the standard action, we construct the reduced action and conserved total mass and charge. In view of a Hamiltonian constraint the non-dynamic degree of freedom from the action is excluded. This leads to the action in the minisuperspace. Therefore, the classical investigation stage of the Einstein equations solutions reduces to the study of solutions of the Einstein-Hamilton-Jacobi equation in the minisuperspace. It turns out that minisuperspace is _at therefore solutions of the Einstein equations correspond to a pencil of lines in the minisuperspace. Their intersections with the light cone of the minisuperspace correspond to the event horizons in the S-T of the charged BH. The consideration of the quantum aspects is formally reduced to the quantization of a particle in a three-dimensional pseudo-Euclidean space. Using the compatibility condition of the DeWitt and the eigenvalue equations for the operators of mass and charge the con_guration wave function is constructed. Thus, we obtain a model of a charged BH with a continuous spectrum of masses and charge.
Authors and Affiliations
V. D. Gladush
Keywords
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- EP ID EP603567
- DOI 10.18524/1810-4215.2018.31.144461
- Views 102
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