Three new exact solutions for charged fluid spheres in general relativity

2014 ◽  
Vol 356 (1) ◽  
pp. 75-87 ◽  
Author(s):  
S. K. Maurya ◽  
Y. K. Gupta ◽  
Baiju Dayanandan ◽  
T. T. Smitha
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Charged Fluid ◽  
New Exact Solutions ◽  
Fluid Spheres

New exact solutions for a charged fluid sphere in general relativity

1986 ◽  
Vol 18 (4) ◽  
pp. 395-410 ◽  
Author(s):  
J. Hajj-Boutros ◽  
J. Sfeila
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Fluid Sphere ◽  
Charged Fluid ◽  
Charged Fluid Sphere ◽  
New Exact Solutions

Nonstatic charged fluid spheres in general relativity

1984 ◽  
Vol 16 (4) ◽  
pp. 381-385 ◽  
Author(s):  
S. Chatterjee
Keyword(s):  
General Relativity ◽  
Charged Fluid ◽  
Fluid Spheres

EXACT SOLUTIONS OF THE EINSTEIN–MAXWELL EQUATIONS IN CHARGED PERFECT FLUID SPHERES FOR THE GENERALIZED TOLMAN–OPPENHEIMER–VOLKOFF EQUATIONS

2013 ◽  
Vol 22 (02) ◽  
pp. 1350009 ◽  
Author(s):  
LI ZOU ◽  
FANG-YU LI ◽  
HAO WEN
Keyword(s):  
Cosmological Constant ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Maxwell Equations ◽  
Constant Density ◽  
New Exact Solutions ◽  
First Time ◽  
Classical Constant ◽  
Fluid Spheres ◽  
Charged Case

Exact solutions of the Einstein–Maxwell equations for spherically symmetric charged perfect fluid have been broadly studied so far. However, the cases with a nonzero cosmological constant are seldom focused. In the present paper, the Tolman–Oppenheimer–Volkoff (TOV) equations have been generalized from the neutral case of hydrostatic equilibrium to the charged case of hydroelectrostatic equilibrium, and base on it, for the first time we find a series of new exact solutions of Einstein–Maxwell's equations with a nonzero cosmological constant for static charged perfect fluid spheres. Moreover, two special TOV equations and two classical constant density interior solutions are also given.

Some static relativistic compact charged fluid spheres in general relativity

2013 ◽  
Vol 350 (1) ◽  
pp. 293-305 ◽  
Author(s):  
Mohammad Hassan Murad ◽  
Saba Fatema
Keyword(s):  
General Relativity ◽  
Charged Fluid ◽  
Fluid Spheres

Variety of Well behaved parametric classes of relativistic charged fluid spheres in general relativity

2011 ◽  
Vol 333 (1) ◽  
pp. 161-168 ◽  
Author(s):  
Neeraj Pant ◽  
S. Rajasekhara
Keyword(s):  
General Relativity ◽  
Charged Fluid ◽  
Fluid Spheres

scholarly journals CYLINDRICALLY SYMMETRIC SPINNING BRANS–DICKE SPACE–TIMES WITH CLOSED TIMELIKE CURVES

1999 ◽  
Vol 14 (17) ◽  
pp. 1105-1111 ◽  
Author(s):  
LUIS A. ANCHORDOQUI ◽  
SANTIAGO E. PEREZ BERGLIAFFA ◽  
MARTA L. TROBO ◽  
GRACIELA S. BIRMAN
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Cylindrical Symmetry ◽  
Space Time ◽  
Rigid Rotation ◽  
Closed Timelike Curves ◽  
New Exact Solutions ◽  
Cylindrically Symmetric

We present here three new exact solutions of Brans–Dicke theory for a stationary geometry with cylindrical symmetry in the presence of matter in rigid rotation with [Formula: see text]. All the solutions have eternal closed timelike curves in some region of space–time which has a size that depends on ω. Moreover, two of them do not go over a solution of general relativity in the limit ω→∞.

scholarly journals Some Exact Solutions in General Relativity

2021 ◽  
Author(s):  
◽  
Petarpa Boonserm
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Fluid Sphere ◽  
Spacetime Geometry ◽  
Pressure Profiles ◽  
Coordinate Conditions ◽  
Pedagogical Discussion ◽  
Fluid Spheres ◽  
Tov Equation

<p><b>In this thesis four separate problems in general relativity are considered, dividedinto two separate themes: coordinate conditions and perfect fluid spheres. Regardingcoordinate conditions we present a pedagogical discussion of how the appropriateuse of coordinate conditions can lead to simplifications in the form of the spacetimecurvature — such tricks are often helpful when seeking specific exact solutions of theEinstein equations. Regarding perfect fluid spheres we present several methods oftransforming any given perfect fluid sphere into a possibly new perfect fluid sphere.</b></p> <p>This is done in three qualitatively distinct manners: The first set of solution generatingtheorems apply in Schwarzschild curvature coordinates, and are phrased in termsof the metric components: they show how to transform one static spherical perfectfluid spacetime geometry into another. A second set of solution generating theoremsextends these ideas to other coordinate systems (such as isotropic, Gaussian polar,Buchdahl, Synge, and exponential coordinates), again working directly in terms of themetric components. Finally, the solution generating theorems are rephrased in termsof the TOV equation and density and pressure profiles. Most of the relevant calculationsare carried out analytically, though some numerical explorations are also carriedout.</p>

scholarly journals Tolman-Bayin type static charged fluid spheres in general relativity

2004 ◽  
Vol 349 (4) ◽  
pp. 1331-1334 ◽  
Author(s):  
Saibal Ray ◽  
Basanti Das
Keyword(s):  
General Relativity ◽  
Charged Fluid ◽  
Fluid Spheres

Two new exact solutions for relativistic perfect fluid spheres through Lake’s algorithm

2014 ◽  
Vol 355 (2) ◽  
pp. 303-308
Author(s):  
S. K. Maurya ◽  
Y. K. Gupta ◽  
M. K. Jasim
Keyword(s):  
Exact Solutions ◽  
Perfect Fluid ◽  
New Exact Solutions ◽  
Fluid Spheres

scholarly journals Some Exact Solutions in General Relativity

2021 ◽  
Author(s):  
◽  
Petarpa Boonserm
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Fluid Sphere ◽  
Spacetime Geometry ◽  
Pressure Profiles ◽  
Coordinate Conditions ◽  
Pedagogical Discussion ◽  
Fluid Spheres ◽  
Tov Equation

<p><b>In this thesis four separate problems in general relativity are considered, dividedinto two separate themes: coordinate conditions and perfect fluid spheres. Regardingcoordinate conditions we present a pedagogical discussion of how the appropriateuse of coordinate conditions can lead to simplifications in the form of the spacetimecurvature — such tricks are often helpful when seeking specific exact solutions of theEinstein equations. Regarding perfect fluid spheres we present several methods oftransforming any given perfect fluid sphere into a possibly new perfect fluid sphere.</b></p> <p>This is done in three qualitatively distinct manners: The first set of solution generatingtheorems apply in Schwarzschild curvature coordinates, and are phrased in termsof the metric components: they show how to transform one static spherical perfectfluid spacetime geometry into another. A second set of solution generating theoremsextends these ideas to other coordinate systems (such as isotropic, Gaussian polar,Buchdahl, Synge, and exponential coordinates), again working directly in terms of themetric components. Finally, the solution generating theorems are rephrased in termsof the TOV equation and density and pressure profiles. Most of the relevant calculationsare carried out analytically, though some numerical explorations are also carriedout.</p>

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