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An exact solution for uniformly accelerated particles in general relativity
Zeitschrift f�r Physik, 1964We present an exact solution of the Einstein empty-space equations referring to four particles in relative motion. The particles move with different uniform accelerations relative to a co-ordinate system which is Minkowskian at infinity, except in certain directions. If positive and negative masses are allowed, the particles can move freely under their
N. S. Swaminarayan, W. B. Bonnor
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A new well behaved exact solution in general relativity for perfect fluid [PDF]
Astrophysics and Space Science, 2012 We present a new spherically symmetric solution of the general relativistic field equations in isotropic coordinates. The solution is having positive finite central pressure and positive finite central density. The ratio of pressure and density is less than one and casualty condition is obeyed at the centre.
Neeraj Pant +2 more
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New exact solutions for a charged fluid sphere in general relativity
General Relativity and Gravitation, 1986A new generation technique is elaborated in the case of static spherically symmetric distribution of charged fluid. The above technique deals only with a charged perfect fluid verifying a barytropic equation of state, i.e.,P=(γ−1)ρ. Many new exact solutions have then been generated from those of Pant and Sah, Banerjee and Santos, Humi and Mansour ...
J. Hajj-Boutros, J. Sfeila
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New class of regular and well behaved exact solutions in general relativity [PDF]
Astrophysics and Space Science, 2010 We present a new class of spherically symmetric regular and well behaved solutions of the general relativistic field equations in isotropic coordinates. These solutions describe perfect fluid balls with positively finite central pressure and positively finite central density; their ratio is less than one and causality condition is obeyed at the centre.
Neeraj Pant, Mamta Pant, Rama Nand Mehta
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Exact solution for a static charged gas sphere in general relativity
General Relativity and Gravitation, 1993A general solution of the Einstein-Maxwell field equations has been obtained for a static charged gas sphere having maximum matter density at the centre. The density decreases along the radius and finally becomes zero at the surface of the sphere.
M. K. Gokhroo, A. L. Melira
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Republication of: Exact solutions of the field equations of the general theory of relativity
General Relativity and Gravitation, 2009This is an English translation of a paper by Pascual Jordan, Jurgen Ehlers and Wolfgang Kundt, first published in 1960. The original paper was part 1 of a five-part series of articles containing the first summary of knowledge about exact solutions of Einstein’s equations found until then.
Pascual Jordan +2 more
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Exact Analytical Solution to Equations of Perihelion Advance in General Relativity
International Journal of Theoretical Physics, 2009Previously the perihelion advance in binary system was computed approximately. We will present an exact analytical solution to nonlinear differential equation of perihelion advance by method of Jacobian elliptic function and the advanced angle between successive perihelions.
Feng He, Fan Zhao
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Killing Vectors and Embedding of Exact Solutions in General Relativity [PDF]
, 1986 Two ways in which exact solutions of Einstein’s field equations can be classified are by the existence of preferred vector fields, such as Killing vectors, and by its embedding class in a higher dimensional pseudoeuclidean space. The present paper shows how the notion of Killing and conformai Killing vectors find simple expression in the geometric ...
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Some Exact Solutions of the Field Equations of General Relativity
Journal of Mathematical Physics, 1966A method for generating nonstatic solutions of the Einstein-Maxwell field equations in vacuo from nonstatic solutions of the empty space-time field equations is given. It is shown that under certain conditions one of the metrics under investigation admits algebraically degenerate vacuum solutions.
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Exact solution of a static charged sphere in general relativity
General Relativity and Gravitation, 1987An exact solution of the field equations of general relativity is obtained for a static, spherically symmetric distribution of charge and mass. Their physical properties are studied in some detail. Our solution includes as special cases the results given previously by Cooperstock and De La Cruz, Mehra and Bohra, Santos, and Shi-Chang.
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