Cosmological Solutions of Enistien’s Equations with Axial Symmetry

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Bagheri, Fatemeh | 2013

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 45544 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Mansouri, Reza
Abstract:
In the most cosmological models which already have putted forth, metric has a spherical symmetry; however, according to the galaxy’s shape is not a real approximation. In order to build a more acqurate model, by applying a particular conformal transformation on the static vacuum solution, we introduce a new metric which is axially symmetric and also it approaches to FLRW metric at space infinity. The cosmological model according to this metric has especial features;The solution we have found represent a spacetime which is axially symmetric although it leads to a spherically symmetric Einstein tensor. Therefore, we have found a solution of Einstein equations representing a spherically symmetric matter distribution corresponding to a spacetime which does not reflect the same symmetry. Moreover we introduce the first model of rotating cosmological black hole with axial symmetry
Keywords:
Cosmological Black Hole ; General Relativity Theory ; Axisymmetric Model ; Conformal Transformations