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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
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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 ...
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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
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Exact Three-Variable Solutions of the Field Equations of General Relativity
Physical Review, 1959In order to trace out with more understanding the consequences of general relativity it is advantageous to have exact solutions of Einstein's field equations which show more detail than the familiar solutions with their high symmetry. In the present investigation, based on the method of separation of variables, all solutions of the field equations for ...
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New exact cylindrical solutions of the Einstein-Maxwell equations of general relativity
Physics Letters A, 1979Abstract We find new exact cylindrical solutions of the Einstein-Maxwell equations, which are cylindrical waves. In some of these solutions Painleve transcendental functions of type III and V appear. There are maxima in the electromagnetic energy density.
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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.
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The problem of exact interior solutions for rotating rigid bodies in general relativity
Journal of Mathematical Physics, 1992The (3+1) dyadic formalism for timelike congruences is applied to derive interior solutions for stationary, axisymmetric, rigidly rotating bodies. In this approach the mathematics is formulated in terms of three-space-covariant, first-order, vector-dyadic, differential equations for a and Ω, the acceleration and angular velocity three-vectors of the ...
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Physical properties of an exact spherically symmetric solution with shear in general relativity
General Relativity and Gravitation, 1992The properties of an exact spherically symmetric perfect fluid solution obtained in non-comoving coordinates are examined. This solution contains shear, and the pressure and the density are positive in the interior of the fluid. Their respective gradients with respect to comoving radial coordinate are equal and negative, and the speed of sound in this ...
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Framing “nature‐based” solutions to climate change
Wiley Interdisciplinary Reviews: Climate Change, 2021Noel Castree, Rob Bellamy, Shannon Osaka
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