About Space Time

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Naderi, Mojtaba | 2009

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 39819 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Rastegar, Arash
Abstract:
Einstein's general theory of relativity is an admirable successful and unifier geometrical modeling among concepts of space, time and gravity. This theory along with special theory of relativity made a massive change in our physical view and this, especially in its historical context, has deep and interesting consequences in man's philosophical viewpoint which can be studied. Some parts of this thesis relates to these consequences. Some of these interesting consequences may be hidden by computional or mathematical viewpoint and often these equations do not contain enough intuition. in one part, we provide a formulizatin of Einstein's equaion that is intuitional which can be translated in an understandable language. in other part, we show existence and uniqueness of local solution in ime for einstein's equation.
Keywords:
Space-Time ; Eistein Equations ; Lorentzian Manifold ; Riemannian Manifold ; Tensor Calculus

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