Horizons of type D black holes
| Thesis title in Czech: | Horizonty černých děr typu D |
|---|---|
| Thesis title in English: | Horizons of type D black holes |
| Key words: | přesné prostoročasy|černé díry|algebraický typ D|horizonty|kosmologická konstanta |
| English key words: | exact spacetimes|black holes|algebraic type D|horizons|cosmological constant |
| Academic year of topic announcement: | 2022/2023 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Institute of Theoretical Physics (32-UTF) |
| Supervisor: | prof. RNDr. Jiří Podolský, CSc., DSc. |
| Author: | hidden - 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 of electronic submission: | 01.05.2024 |
| 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. |