Exact solutions to Klein–Gordon and Weyl equations in a perfect-fluid Einstein–Maxwell space-time with local rotational symmetry

1991 ◽  
Vol 69 (6) ◽  
pp. 665-667 ◽  
Author(s):  
Umberto Percoco ◽  
Victor M. Villalba
Keyword(s):  
Exact Solutions ◽  
Perfect Fluid ◽  
Maxwell Equations ◽  
Rotational Symmetry ◽  
Space Time ◽  
Fluid Source ◽  
Maxwell Space ◽  
Klein Gordon

In this article we exhibit exact solutions of the Klein–Gordon and Weyl equations in a space-time homogeneous metric with local rotational symmetry, and the solutions of the Einstein–Maxwell equations with a perfect-fluid source and a sinusoidal electromagnetic configuration.

scholarly journals LRS BIANCHI TYPE-I COSMOLOGICAL MODELS IN BARBER'S SECOND SELF CREATION THEORY

2002 ◽  
Vol 11 (08) ◽  
pp. 1195-1207 ◽  
Author(s):  
ANIRUDH PRADHAN ◽  
ANIL KUMAR VISHWAKARMA
Keyword(s):  
Physical Properties ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Deceleration Parameter ◽  
Bianchi Type ◽  
Cosmological Models ◽  
Type I ◽  
Fluid Source ◽  
Bianchi Type I ◽  
Radiation Universe

Barber's second self creation theory with perfect fluid source for an LRS Bianchi type-I metric is considered using deceleration parameter to be constant where the metric potentials are taken as functions of x and t. In particular, some exact solutions have also been obtained for the vacuum universe, Zel'dovich universe and radiation universe. Some physical properties of the models are also discussed.

EXACT SOLUTIONS OF THE EINSTEIN–MAXWELL EQUATIONS IN CHARGED PERFECT FLUID SPHERES FOR THE GENERALIZED TOLMAN–OPPENHEIMER–VOLKOFF EQUATIONS

2013 ◽  
Vol 22 (02) ◽  
pp. 1350009 ◽  
Author(s):  
LI ZOU ◽  
FANG-YU LI ◽  
HAO WEN
Keyword(s):  
Cosmological Constant ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Maxwell Equations ◽  
Constant Density ◽  
New Exact Solutions ◽  
First Time ◽  
Classical Constant ◽  
Fluid Spheres ◽  
Charged Case

Exact solutions of the Einstein–Maxwell equations for spherically symmetric charged perfect fluid have been broadly studied so far. However, the cases with a nonzero cosmological constant are seldom focused. In the present paper, the Tolman–Oppenheimer–Volkoff (TOV) equations have been generalized from the neutral case of hydrostatic equilibrium to the charged case of hydroelectrostatic equilibrium, and base on it, for the first time we find a series of new exact solutions of Einstein–Maxwell's equations with a nonzero cosmological constant for static charged perfect fluid spheres. Moreover, two special TOV equations and two classical constant density interior solutions are also given.

The flux integral for axisymmetric perturbations of static space-times

1990 ◽  
Vol 428 (1875) ◽  
pp. 325-349 ◽  
Keyword(s):  
Black Holes ◽  
Perfect Fluid ◽  
Gravitational Radiation ◽  
Scattering Theory ◽  
Scattering Matrix ◽  
Conservation Of Energy ◽  
Fluid Source ◽  
Maxwell Space ◽  
Static Space ◽  
Axisymmetric Perturbations

The axisymmetric perturbations of static space-times with prevailing sources (a Maxwell field or a perfect fluid) are considered; and it is shown how a flux integral can be derived directly from the relevant linearized equations. The flux integral ensures the conservation of energy in the attendant scattering of radiation and the sometimes accompanying transformation of one kind of radiation into another. The flux integral derived for perturbed Einstein-Maxwell space-times will be particularly useful in this latter context (as in the scattering of radiation by two extreme Reissner-Nordström black-holes) and in the setting up of a scattering matrix. And the flux integral derived for a space-time with a perfect-fluid source will be directly applicable to the problem of the non-radial oscillations of a star with accompanying emission of gravitational radiation and enable its reformulation as a problem in scattering theory.

scholarly journals A rotating three component perfect fluid source and its junction with empty space-time

2011 ◽  
Vol 44 (4) ◽  
pp. 941-957 ◽  
Author(s):  
R. J. Wiltshire
Keyword(s):  
Perfect Fluid ◽  
Empty Space ◽  
Space Time ◽  
Fluid Source

Exact solutions of the generalized Klein–Gordon oscillator in a global monopole space-time

2021 ◽  
Vol 136 (7) ◽  
Author(s):  
Marc de Montigny ◽  
Hassan Hassanabadi ◽  
James Pinfold ◽  
Soroush Zare
Keyword(s):  
Exact Solutions ◽  
Space Time ◽  
Global Monopole ◽  
Klein Gordon

Some exact solutions of gravitational waves coupled with fluid motions

1985 ◽  
Vol 402 (1823) ◽  
pp. 205-224 ◽  
Keyword(s):  
Exact Solutions ◽  
Gravitational Waves ◽  
Perfect Fluid ◽  
Space Time ◽  
Velocity Of Sound ◽  
Time Singularity ◽  
Einstein's Equations ◽  
The Past ◽  
Velocity Of Light ◽  
Cosmological Solutions

Some exact solutions of Einstein’s equations are found which represent the interaction of gravitational waves with a perfect fluid in which the velocity of sound equals the velocity of light. These solutions, unlike the solutions representing the collision of impulsive gravitational waves, are bounded by a space–time singularity and have some resemblance to cosmological solutions: every time-like trajectory, extended into the past, encounters the singularity. Moreover, in the generic case, matter may be considered as being created at the singularity.

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