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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Geometry of 2+1 dimensional black holes
 Klozová, Eliška ; Krtouš, Pavel (advisor) ; Svítek, Otakar (referee)
A boost Killing vector field with its isometry is considered in the 2+1 di- mensional anti-de Sitter spacetime. Then we choose two isometric surfaces and identify points that are on the same Killing orbit. An object locally isometric to the anti-de Sitter spacetime but with different global topology is obtained - the BTZ black hole. To prove that this object is really a black hole, a new adjusted coordinate system is introduced and the object's spacetime structure is explored. It is shown that such spacetime has outer and inner regions separated by the ho- rizon (null surfaces). We also show that parameter of the identification is closely related to the black hole's mass. Finally, we discuss limit transitions to other in- teresting physical objects with which we support setting of the zero energy-mass level. For understanding the geometry better, many three-dimensional pictures of the considered surfaces are included along with conformal diagrams of the BTZ black hole and also its space structure is depicted. 1
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Symmetries of anti-de Sitter universe and spaces obtained by identification along these symmetries
 Irinkov, Pavel ; Krtouš, Pavel (advisor) ; Svítek, Otakar (referee)
Topological black holes in 2 + 1-dimensional AdS spacetime have seen a grad- ual increase in popularity over the last 20 years by their virtue of being one of the appropriate models to tackle the conceptual issues of quantum gravity in relatively simple setting. This work develops the classification of isometries of 2 + 1-dimensional anti-de Sitter spacetime and subsequently gives account of the solutions of the Einstein equations obtained by identifications along particular adapted coordinates. Special attention is paid to the Poincaré coordinates and extremal black holes and to a specific description of phase transition between conical singularities and black holes. 1
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