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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Space-times of ring sources
 Pešta, Milan ; Semerák, Oldřich (advisor) ; Ledvinka, Tomáš (referee)
Marginally outer-trapped surfaces (MOTSs) are found for a family of space-like hypersurfaces described by the Brill-Lindquist initial data. These hypersurfaces contain a singular ring characterized by its radius, mass and charge. Due to the ring character of the singularity, these surfaces are natural candidates for MOTSs with toroidal topology. By adjusting and employing the numerical method of geodesics, we indeed localize MOTSs of both spherical and toroidal topology, and compare the results with those obtained previously by Jaramillo & Lousto.
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Space-times with toroidal horizons
 Pešta, Milan ; Semerák, Oldřich (advisor) ; Ledvinka, Tomáš (referee)
Basic results of the uniqueness theorems and the topological-censorship theorem are presented. Properties of the well-known solution of Einstein's equations with a toroidal event horizon are examined and one of possible visualizations of the coordinate system that helps to better understand the behaviour of various invariants in the vicinity of the singularity is suggested. Apart from this solution, two solutions with a ring singularity are introduced as potential candidates for space-times with toroidal horizons whose properties are interpreted intuitively using the toroidal or Weyl coordinate systems. Last part is devoted to apparent horizons of the considered solutions and the differential equation for the apparent horizon of an arbitrary solution of the Weyl class is derived. The numerical solution of this equation is not presented.
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See also: similar author names
9 PEŠTA, Martin
9 Pešta, Martin
4 Pešta, Michal
4 Pešta, Mikuláš
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