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 sphere in general relativity

1975 ◽  
Vol 29 (2) ◽  
pp. 357-363 ◽  
Author(s):  
A. Banerjee ◽  
N. Chakravorty ◽  
S. B. Duttachoudhury
Keyword(s):  
General Relativity ◽  
Fluid Sphere ◽  
Charged Fluid ◽  
Charged Fluid Sphere

Charged fluid sphere in general relativity

1979 ◽  
Vol 20 (12) ◽  
pp. 2537-2539 ◽  
Author(s):  
D. N. Pant ◽  
A. Sah
Keyword(s):  
General Relativity ◽  
Fluid Sphere ◽  
Charged Fluid ◽  
Charged Fluid Sphere

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

Gravitational collapse of a charged fluid sphere

1979 ◽  
Vol 20 (10) ◽  
pp. 2455-2468 ◽  
Author(s):  
Bahram Mashhoon ◽  
M. Hossein Partovi
Keyword(s):  
Gravitational Collapse ◽  
Fluid Sphere ◽  
Charged Fluid ◽  
Charged Fluid Sphere

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>

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