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Uniformly accelerated coordinates
Voldřich, Jakub ; Kofroň, David (advisor) ; Žofka, Martin (referee)
A coordinate system can severely impact the difficulty of computations of a given problem. The uniformly accelerated coordinates are well-suited for a description of uni- formly accelerated motions. It is usually the primary choice for expressing the C-metric, which is an exact solution to Einstein's equations. In this thesis, the coordinates are considered in a limit of a flat spacetime, where problems have analytical solutions, and a good adaptation of coordinates is blatant. A natural definition of those coordinates is presented through Rindler coordinates and Milne coordinates. First from those specific problems that display good adaptation of uniformly accelerated coordinates are null ge- odesics. Then the Born's solution is computed, followed by pictures of electric intensity, magnetic induction, and Poynting vector field in constant global time. There is also com- putation of integral curves of electric intensity. And finally, it is shown what happens if a dipole is accelerated. 1
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