General Relativistic Static Fluid Solutions with Cosmological Constant

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GRIN Verlag, 2008 - 80 pages
Diploma Thesis from the year 2002 in the subject Physics - Theoretical Physics, grade: 1,3 (A), University of Potsdam, 28 entries in the bibliography, language: English, abstract: This diploma thesis analyses static and 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.
 

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Contents

1Introduction
7
3Solutionswith constantdensity
15
4Solutionswith givenequation of state
42
Appendices
57
References
65
Erklarung
71
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