scholarly journals Electrically charged fluids with pressure in Newtonian gravitation and general relativity indspacetime dimensions: Theorems and results for Weyl type systems

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
José P. S. Lemos ◽  
Vilson T. Zanchin
Keyword(s):  
General Relativity ◽  
Type Systems ◽  
Charged Fluids ◽  
Newtonian Gravitation ◽  
Electrically Charged

scholarly journals Symmetric Criticality and Magnetic Monopoles in General Relativity

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 845
Author(s):  
Joel Franklin
Keyword(s):  
General Relativity ◽  
Magnetic Monopoles ◽  
Spherically Symmetric ◽  
Symmetric Source ◽  
Spherically Symmetric Source ◽  
Electrically Charged

The Weyl method for finding solutions in general relativity using symmetry by varying an action with respect to a reduced set of field variables is known to fail in some cases. We add to the list of failures by considering an application of the Weyl method to a magnetically charged spherically symmetric source, obtaining an incorrect geometry. This is surprising, because the same method, applied to electrically charged central bodies correctly produces the Reissner-Nordström spacetime.

scholarly journals A SLOWLY ROTATING CHARGED BLACK HOLE IN FIVE DIMENSIONS

2006 ◽  
Vol 21 (09) ◽  
pp. 751-757 ◽  
Author(s):  
A. N. ALIEV
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
System Of Equations ◽  
Maxwell System ◽  
Five Dimensions ◽  
Four Dimensions ◽  
Higher Dimensional ◽  
Long Time ◽  
Electrically Charged ◽  
Black Hole Solutions

Black hole solutions in higher dimensional Einstein and Einstein–Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild, Reissner–Nordström and Kerr solutions of four-dimensional general relativity. However, higher dimensional generalization of the Kerr–Newman solution in four dimensions has not been found yet. As a first step in this direction we shall report on a new solution of the Einstein–Maxwell system of equations that describes an electrically charged and slowly rotating black hole in five dimensions.

scholarly journals PERFECT FLUID COSMOLOGIES WITH VARYING LIGHT SPEED

2001 ◽  
Vol 10 (01) ◽  
pp. 107-113 ◽  
Author(s):  
LUIS P. CHIMENTO ◽  
ALEJANDRO S. JAKUBI
Keyword(s):  
General Relativity ◽  
Perfect Fluid ◽  
Time Variation ◽  
Cosmic Time ◽  
Big Bang ◽  
Exact Constant ◽  
Density Parameter ◽  
Newtonian Gravitation ◽  
Perfect Fluids ◽  
Big Bang Model

We have found exact constant solutions for the cosmological density parameter using a generalization of general relativity that incorporates a cosmic time-variation of the velocity of light in vacuum and the Newtonian gravitation constant. We have determined the conditions when these solutions are attractors for an expanding universe and solved the problems of the Standard Big Bang model for perfect fluids.

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