scholarly journals Monopole and electrically charged dust thin shells in general relativity: Classical and quantum comparison of hollow and atomlike configurations

1998 ◽  
Vol 57 (8) ◽  
pp. 4812-4820 ◽  
Author(s):  
Konstantin G. Zloshchastiev
Keyword(s):  
General Relativity ◽  
Thin Shells ◽  
Charged Dust ◽  
Electrically Charged

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
Keyword(s):  
General Relativity ◽  
Charged Dust ◽  
Rotating Disks ◽  
Electrically Charged

Charged-dust distributions in general relativity

1970 ◽  
Vol 3 (3) ◽  
pp. 263-268 ◽  
Author(s):  
A K Raychaudhuri ◽  
U K De
Keyword(s):  
General Relativity ◽  
Charged Dust

scholarly journals The theory of spherically symmetric thin shells in conformal gravity

2018 ◽  
Vol 27 (06) ◽  
pp. 1841012 ◽  
Author(s):  
Victor Berezin ◽  
Vyacheslav Dokuchaev ◽  
Yury Eroshenko
Keyword(s):  
General Relativity ◽  
Weyl Tensor ◽  
Delta Function ◽  
Einstein Gravity ◽  
Riemann Tensor ◽  
Momentum Tensor ◽  
Thin Shells ◽  
Spherically Symmetric ◽  
Gravitational Fields ◽  
Gravitational Theories

The spherically symmetric thin shells are the nearest generalizations of the point-like particles. Moreover, they serve as the simple sources of the gravitational fields both in General Relativity and much more complex quadratic gravity theories. We are interested in the special and physically important case when all the quadratic in curvature tensor (Riemann tensor) and its contractions (Ricci tensor and scalar curvature) terms are present in the form of the square of Weyl tensor. By definition, the energy–momentum tensor of the thin shell is proportional to Diracs delta-function. We constructed the theory of the spherically symmetric thin shells for three types of gravitational theories with the shell: (1) General Relativity; (2) Pure conformal (Weyl) gravity where the gravitational part of the total Lagrangian is just the square of the Weyl tensor; (3) Weyl–Einstein gravity. The results are compared with these in General Relativity (Israel equations). We considered in detail the shells immersed in the vacuum. Some peculiar properties of such shells are found. In particular, for the traceless ([Formula: see text] massless) shell, it is shown that their dynamics cannot be derived from the matching conditions and, thus, is completely arbitrary. On the contrary, in the case of the Weyl–Einstein gravity, the trajectory of the same type of shell is completely restored even without knowledge of the outside solution.

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.

On rotating charged dust in general relativity

1978 ◽  
Vol 362 (1710) ◽  
pp. 329-340 ◽  
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Differential Rotation ◽  
Single Equation ◽  
Charged Dust ◽  
Newtonian Physics ◽  
Coupled Equations ◽  
Cylindrically Symmetric ◽  
Axis Of Symmetry

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.

On rotating charged dust in general relativity. II

1979 ◽  
Vol 367 (1729) ◽  
pp. 271-280 ◽  
Keyword(s):  
General Relativity ◽  
Arbitrary Function ◽  
Single Equation ◽  
Charged Dust ◽  
Newtonian Physics ◽  
Coupled Equations

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.

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