Horizonty černých děr typu D

Ovcharenko, Hryhorii

In this thesis, we investigate the properties of horizons appearing in the most general black-hole electrovacuum solution of algebraic type D. Firstly, we analyze the completely general type D solution, found by Debever, Kamran, and McLenaghan, and show that the only subsolution corresponding to black holes is the Plebanski-Demianski one. Then we demonstrate that all horizons within the Plebanski-Demianski family are regular, mean- ing that all curvature scalars and Riemann tensor components in the proper tetrad are finite. Moreover, we systematically explore the possible degeneracy of horizons within the Plebanski-Demianski class of spacetimes. Despite it being impossible for all four hori- zons to coincide, there are still several configurations of degenerate (extremal) horizons in which there is no thermal radiation from the corresponding black hole. Subsequently, we focus on constructing a set of coordinates that are adapted to freely-falling observers and are regular on the horizon, generalizing thus the Doran coordinates to the Plebanski- Demianski family of spacetimes. We demonstrate that this generalization is not unique, and different approaches are more suitable for different situations. 1

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