Spherically symmetric charged dust distribution in the Brans-Dicke theory

1978 ◽  
Vol 18 (6) ◽  
pp. 1805-1808 ◽  
Author(s):  
R. N. Tiwari ◽  
B. K. Nayak
Keyword(s):  
Charged Dust ◽  
Spherically Symmetric ◽  
Dust Distribution

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.

Lofted charged dust distribution above the Moon surface

2011 ◽  
Vol 59 (14) ◽  
pp. 1795-1803 ◽  
Author(s):  
Vladimir Pines ◽  
Marianna Zlatkowski ◽  
Arnon Chait
Keyword(s):  
Charged Dust ◽  
The Moon ◽  
Dust Distribution

Unperturbed state and solitary structures in an electron-positron plasma having dust impurity and density inhomogeneity

2014 ◽  
Vol 80 (4) ◽  
pp. 629-641 ◽  
Author(s):  
Hitendra K. Malik ◽  
Rakhee Malik
Keyword(s):  
Density Gradient ◽  
Mkdv Equation ◽  
Charged Dust ◽  
Unperturbed State ◽  
Pair Plasma ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Solitary Structures ◽  
Dust Distribution ◽  
Positively Charged

An electron–positron pair plasma having dust impurity and density non-uniformity is studied for its unperturbed state and evolution of solitary structures under the effect of either positively charged or negatively charged dust grains. Zeroth-order equations are solved to examine the unperturbed state of the plasma via unperturbed potential φ0, drift velocities of the electrons and positrons (ve0 and vp0), and plasma (positron) density gradient np0η. It is observed that the dust distribution affects the gradient np0η significantly, which increases very sharply with a small increment in the dust density gradient nd0η. With relation to the solitary structures, a modified form of Korteweg–deVries equation (mKdV equation) is realized in the said plasma, which reveals that a tailing structure is associated with the soliton (sech2 structure). This tail is less prominent in the present pair plasma, contrary to the observation made in ordinary plasmas having only ions and electrons. The dust impurity is found to influence the solitary structure much significantly and its presence suppresses the rarefactive solitons, which are generally observed in multi-component species plasmas.

scholarly journals Collapse of a Charged Dust Distribution

1973 ◽  
Vol 49 (5) ◽  
pp. 1546-1552 ◽  
Author(s):  
Utpal K. De
Keyword(s):  
Charged Dust ◽  
Dust Distribution

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

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