Bc. Hryhorii Ovcharenko - assigned and confirmed by the Study Dept.
Date of registration:
10.04.2023
Date of assignment:
10.04.2023
Confirmed by Study dept. on:
27.04.2023
Date and time of defence:
06.06.2024 10:00
Date of electronic submission:
01.05.2024
Opponents:
Hideki Maeda
The thesis files are not available because a request for non-publication was submitted.
Guidelines
The aim of this work is to investigate specific geometrical and physical properties of exact spacetimes which represent rotating and accelerating black holes. We will concentrate on a large class of exact solutions to Einstein-Maxwell equations with any cosmological constant which are of algebraic type D. In particular, we will study the character of its horizons, namely their number, multiplicity, and regularity.
References
Griffiths J. B., Podolský J.: Exact space-times in Einstein’s general relativity, 2012, Cambridge University Press.
Stephani H., Kramer D., MacCallum M., Hoenselaers C., Herlt E.: Exact solutions of Einstein’s field equations, 2003, Cambridge University Press.
Podolský J., Vrátný A.: New improved form of black holes of type D, Phys. Rev. D 104 (2021) 084078.
Matejov D., Podolský J.: Extremal isolated horizons with a cosmological constant and the related unique type D black holes, Phys. Rev. D 105 (2022) 064016.
Podolský J., Vrátný A.: New form of all black holes with a cosmological constant, Phys. Rev. D 1047 (2023) v tisku.
Preliminary scope of work
Cílem práce je studium specifických geometrických a fyzikálních vlastností přesných prostoročasů, jež reprezentují rotující a urychlené černé díry. Soustředíme se na rozsáhlou třídu přesných řešení Einsteinových-Maxwellových rovnic s libovolnou kosmologickou konstantou, které jsou algebraického typu D. Budeme studovat především charakter přítomných horizonů, konkrétně jejich počet, násobnost a regularitu.
Preliminary scope of work in English
The aim of this work is to investigate specific geometrical and physical properties of exact spacetimes which represent rotating and accelerating black holes. We will concentrate on a large class of exact solutions to Einstein-Maxwell equations with any cosmological constant which are of algebraic type D. In particular, we will study the character of its horizons, namely their number, multiplicity, and regularity.