Two Collected Solutions Of Einstein s Equation - 1561 Words

Two collected solutions of Einstein’s equation in general relativity Author: Konglong Wu (2012301020067), Wenjie Wu (2014202020002) Abstract: Einstein’s equation is published by Albert Einstein in 1915, which is a geometric theory of gravitation. 100 years has been passed, there are many solutions in some special cases have been solved by many great physicists. So this paper aims to the collection of some of the solutions and have some comparison in some degrees. 1 Introduction to Einstein’s equation The Einstein’s equations are the set of ten partial differential equations that relate the geometry of spacetime and the presence of mass-energy. It is the leading theory that describe the interaction of gravity. The formula of Einstein’s equation is, Any metric whatsoever is a solution of (1) if no restriction is imposed on the energy -momentum tensor, so we must first make some assumptions about . Beyond this we may proceed, for example, by imposing symmetry conditions on the metric, by restricting the algebraic structure of the Riemann tensor, by adding filed equations for the matter variables or by imposing initial and boundary conditions. A metric could be called an exact solution if its components could be given, in suitable coordinates, in terms of the well-known analytic functions (polynomials, trigonometric functions, hyperbolic functions and so on). It may be pointed out that certain solutions have played very important roles in the discussion of physicalShow MoreRelatedPhysics Of Kepler s 3rd Law1972 Words   |  8 Pagesand Motion Ethan Jones 12PHC SJA â€Æ' TASK 1: a) b) Equation of line: y = 0.6656x + 8.4604 Therefore gradient = m = 0.6656 R^2= 1 log T^2/r^3 =c logT^2-logr^3=log⠁ ¡c 3 log⠁ ¡Ã£â‚¬â€"r=2logT-logcã€â€" ∠´logr=2/3 logT-1/3 logc y=mx+c m=graident m= 2/3 ∠´graident=0.6666 The gradient collected from the graph shows 0.6656 whereas the value that Kepler’s 3rd law shows is 0.6666. This difference can be explained due to the fact that some of the Data collected for the graph could be slightly incorrect. The orbitalRead MoreResearch Methodology16940 Words   |  68 PagesRESEARCH METHODOLOGY S. Rajasekar School of Physics, Bharathidasan University, Tiruchirapalli – 620 024, Tamilnadu, Indiaâˆâ€" P. Philominathan Department of Physics, Sri AVVM Pushpam College, Poondi, Thanjavur – 613 503, Tamilnadu, India V. 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