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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
GHP and Weyl formalism for gravitational perturbations
 Mikeska, Václav ; Kofroň, David (advisor) ; Semerák, Oldřich (referee)
The exact analytical solutions of Einstein's equations describing systems of astrophy- sical interest have not been found yet, and thus they have to be studied only as perturba- tions of known spacetimes. There are various ways to investigate these perturbations. One can look directly for perturbations of metric of the exact solution of Einstein's equations. In vacuum spacetimes of type D, it has proved advantageous to investigate perturbations in the GHP formalism by introducing the Debye potential. In this paper, we discuss the connection between these two approaches. We present a general procedure for translating the results from the Debye potential formalism to stationary axisymmetric perturbations of the Kerr metric. This procedure requires solving for a calibration vector. We show that both approaches lead to the same perturbation of the radiative components of the Weyl tensor, and we find a simple relation between these components. 1
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Interpretation of the sources of the known solutions of Teukolsky equations
 Mikeska, Václav ; Kofroň, David (advisor) ; Ledvinka, Tomáš (referee)
Many realistic astrophysical problems can be treated as perturbations. It turns out that the NP formalism is a very successful tool in electromagnetic perturbations on Kerr background. We investigate stationary axisymmetric test electromagnetic field generated by static axisymmetric charge distribution and stationary axisymmetric tangential cur- rents around Kerr black hole. We found a simple relation between electromagnetic field NP scalars φ0 and φ2 and then we got an explicit formula for the third NP scalar φ1 by solving Maxwell equations with electromagnetic sources. Next, we investigate the problem of visualisation of electromagnetic field and develop a visualisation method on arbitrary background, which emphasize local field measured by an observer. We illustrate this method with several examples of electromagnetic fields. 1
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2 Mikeška, Vilém
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