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General Relativistic Static Fluid Solutions with Cosmological Constant

Boehmer, CG; General Relativistic Static Fluid Solutions with Cosmological Constant. UNSPECIFIED thesis , UNSPECIFIED.

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Abstract

This diploma thesis analyses static, spherically symmetric perfect fluid solutions to Einstein's field equations with cosmological constant. Constant density solutions are derived for different values of the cosmological constant. Eleven types of solutions are found, with an overview given at page 41. Furthermore the existence of a global solution is proved for a cosmological constant smaller than 4 Pi the boundary density, which is given by the equation of state.

Type: Thesis (UNSPECIFIED)
Title: General Relativistic Static Fluid Solutions with Cosmological Constant
Additional information: 71 pages, 32 figures; minor layout changes, revised bibliography, one reference added; I would like to thank Prof. Bernd G. Schmidt who made this work possible
Keywords: gr-qc, gr-qc, math-ph, math.MP
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/115316
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