Mohajan, Haradhan
(2013):
*Schwarzschild Geometry from Exact Solution of Einstein Equation.*
Published in: Journal of Environmental Treatment Techniques
, Vol. 1, No. 2
(18 October 2013)

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## Abstract

An 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.

Item Type: | MPRA Paper |
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Original Title: | Schwarzschild Geometry from Exact Solution of Einstein Equation |

English Title: | Schwarzschild Geometry from Exact Solution of Einstein Equation |

Language: | English |

Keywords: | Einstein equation, Schwarzschild solution, Black hole, Space-time singularity. |

Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods |

Item ID: | 50795 |

Depositing User: | Haradhan Kumar Mohajan |

Date Deposited: | 19 Oct 2013 18:01 |

Last Modified: | 30 Sep 2019 15:50 |

References: | 1- Hawking S.W., Ellis, G.F.R., The Large Scale Structure of Space-time, Cambridge University Press, Cambridge. 1973. 2- Joshi P.S., Global Aspects in Gravitation and Cosmology, Clarendon Press, Oxford. 1993. 3- Joshi P.S., Kozameh C.N., Newman, E.T., Light Cone Cuts of Null Infinity in Schwarzschild Geometry, Journal of Mathematical Physics, 1983. 24(10): 2490–2497. 4- Kruskal, M.D., Maximal Extension of Schwarzschild Metric, Physical Review, 1960.119: 1743. 5- Mohajan H.K., Singularity Theorems in General Relativity, M. Phil. Dissertation, Lambert Academic Publishing, Germany. 2013. 6- Szekeres, P., On the Singularities of a Riemannian Manifold, Publ. Math. Debrecen. 1960. 7: 285. |

URI: | https://mpra.ub.uni-muenchen.de/id/eprint/50795 |