scholarly journals Gyromagnetic factor of rotating disks of electrically charged dust in general relativity

2016 ◽  
Vol 94 (10) ◽  
Author(s):  
Yu-Chun Liu Pynn ◽  
Rodrigo Panosso Macedo ◽  
Martin Breithaupt ◽  
Stefan Palenta ◽  
Reinhard Meinel
1970 ◽  
Vol 3 (3) ◽  
pp. 263-268 ◽  
Author(s):  
A K Raychaudhuri ◽  
U K De

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 845
Author(s):  
Joel Franklin

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.


2006 ◽  
Vol 21 (09) ◽  
pp. 751-757 ◽  
Author(s):  
A. N. ALIEV

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.


The problem of charged dust rotating about an axis of symmetry is considered both in Newtonian physics and in general relativity. The Newtonian problem is reduced to a single equation in the case of constant rotation, and to two coupled equations in the case of differential rotation, and some explicit cylindrically symmetric solutions are obtained. In general relativity some new cylindrically symmetric exact solutions for constant rotation are derived, and the problem of differential rotation is reduced to four coupled equations for four unknowns.


An earlier paper considered the problem of differentially rotating charged dust in Newtonian physics and in general relativity. The problem was reduced to two coupled equations for two unknowns in Newtonian physics and to six coupled equations for five unknowns in general relativity. In the present paper the Newtonian problem is reduced to a single equation which becomes determinate once an arbitrary function of one variable is specified, and in general relativity the problem is reduced to a system of three coupled equations for three unknowns which becomes determinate once an arbitrary function of one variable is specified.


1969 ◽  
Vol 158 ◽  
pp. L65 ◽  
Author(s):  
James M. Bardeen ◽  
Robert V. Wagoner

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