scholarly journals Erratum: Avoidance of singularities in spherically symmetric charged dust [Phys. Rev. D73, 124033 (2006)]

2007 ◽  
Vol 75 (6) ◽  
Author(s):  
Andrzej Krasiński ◽  
Krzysztof Bolejko
Keyword(s):  
Charged Dust ◽  
Spherically Symmetric

scholarly journals Regular and singular solutions for charged dust distributions in the Einstein-Maxwell theory

2007 ◽  
Vol 85 (9) ◽  
pp. 957-965
Author(s):  
D Horvat ◽  
S Ilijić
Keyword(s):  
Distinctive Feature ◽  
Total Mass ◽  
Singular Solutions ◽  
Charged Dust ◽  
Spherically Symmetric ◽  
Regular Solutions ◽  
Maxwell Theory ◽  
Metric Tensor ◽  
Net Charge ◽  
Adm Mass

Solutions for the static spherically symmetric extremally charged dust in the Majumdar–Papapetrou system have been found. For a certain amount of the allocated mass and (or) charge, the solutions have singularities of a type that could render them physically unacceptable, since the corresponding physically relevant quantities are singular as well. These solutions, with a number of zero-nodes in the metric tensor, are regularized through the δ-shell formalism, thus redefining the mass and (or) charge distributions. The bifurcating behaviour of regular solutions found before is no longer present in these singular solutions, but quantized-like behaviour in the total mass is observed. The spectrum of regularized solutions restores the equality of the Tolman–Whittaker and Arnowitt–Deser–Misner (ADM) mass, as well the equality of the net charge and ADM mass, which is the distinctive feature of Majumdar–Papapetrou systems.PACS No.:04.40.Nr

scholarly journals Spherically Symmetric Charged Dust Distribution in General Relativity. I. General Solution

1980 ◽  
Vol 33 (4) ◽  
pp. 765 ◽  
Author(s):  
BK Nayak
Keyword(s):  
General Relativity ◽  
General Solution ◽  
Charge Density ◽  
Mass Density ◽  
Maxwell Field ◽  
Charged Dust ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Mathematical Condition ◽  
Dust Distribution

The Einstein-Maxwell field equations characterizing a spherically symmetric charged dust distnbution are solved exactly without imposing any mathematical condition on them. The solution is expressed in terms of two arbitrary variables and these can be chosen to correspond to an arbitrary ratio of charge density to mass density, thus allowing the possibility of understanding the interior of the horizon in a more precise manner.

scholarly journals Avoidance of singularities in spherically symmetric charged dust

2006 ◽  
Vol 73 (12) ◽  
Author(s):  
Andrzej Krasiński ◽  
Krzysztof Bolejko
Keyword(s):  
Charged Dust ◽  
Spherically Symmetric
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