Results 271 to 280 of about 77,425 (318)
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
openaire +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
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
openaire +2 more sources
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 ...
openaire +1 more source
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
openaire +2 more sources
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.
openaire +2 more sources
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.
openaire +2 more sources
Exact solution of a static charged sphere in general relativity
Canadian Journal of Physics, 1969An exact solution of the field equations of general relativity is obtained for a static, spherically symmetric distribution of charge and mass which can be matched with the Reissner–Nordström metric at the boundary. The self-energy contributions to the total gravitational mass are computed retaining only the first order terms in the gravitational ...
openaire +2 more sources
An Exact Family of Einstein–Maxwell Wyman–Adler Solution in General Relativity
International Journal of Theoretical Physics, 2013This paper presents a family of two-parametric interior solutions of Einstein–Maxwell field equations in general relativity for a static spherically symmetric distribution of a charged perfect fluid with particular choice of charge distribution and the metric component g 00. This family gives us wide range of parameters, n and K,
Mohammad Hassan Murad, Saba Fatema
openaire +2 more sources
Three new exact solutions for charged fluid spheres in general relativity
Astrophysics and Space Science, 2014In the present article three new exact solutions of Einstein’s field equations for charged fluid spheres are derived as per Ivanov’s classification (ν,q). Where ‘ν’ stands for ‘logg 44’ and q represents total charge inside the sphere of radius r. The solutions are obtained by considering ν=nlogB 1/n (1+br
T T Smitha +3 more
openaire +2 more sources
Certain Exact Solutions of the Equations of General Relativity with an Electrostatic Field
Proceedings of the Physical Society. Section A, 1953Certain exact solutions of the field equations of general relativity for empty space containing an electrostatic field are derived, and a physical interpretation is attempted. The canonical cylinder coordinates of Weyl are used, and all the solutions in which the electrostatic potential depends on only one of the two variables are obtained.
openaire +2 more sources