Schwarzschild Geometry from Exact Solution of Einstein Equation
AbstractAn exact solution of Einstein equation is easier than actual solution. The Schwarzschild metric is established on the basis of Einstein’s exact solution and it is also a static and stationary solution. The Schwarzschild solution expresses the geometry of a spherically symmetric massive body’s (star) exterior solution. It predicts small observable departures from the Newtonian gravity. It also represents theory of black holes when sufficiently massive stars unable to support themselves against the pull of self gravity and must undergo a complete gravitational collapse when they have exhausted their internal nuclear fuel. Various sides of Schwarzschild geometry, such as, Kruskal–Szekeres extension, space-time singularities and black hole formation, are discussed with simple but detail calculations. The black hole is a region from which no causal signals can reach to the external observers and it contains a space-time singularity hidden within the event horizon.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 50795.
Date of creation: 11 Aug 2013
Date of revision: 16 Oct 2013
Einstein equation; Schwarzschild solution; Black hole; Space-time singularity.;
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- C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-10-25 (All new papers)
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- Mohajan, Haradhan, 2013. "Minkowski geometry and space-time manifold in relativity," MPRA Paper 51627, University Library of Munich, Germany, revised 03 Nov 2013.
- Mohajan, Haradhan, 2013. "Space-Time Singularities and Raychaudhuri Equations," MPRA Paper 54069, University Library of Munich, Germany, revised 10 Aug 2013.
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