Exact solution for a nonstatic cylindrically symmetric perfect fluid distribution in Einstein–Cartan theory

2016 ◽  
Vol 22 (1) ◽  
pp. 44-47 ◽  
Author(s):  
B. Manna ◽  
S. Sinha ◽  
S. Sahoo
Keyword(s):  
Exact Solution ◽  
Perfect Fluid ◽  
Fluid Distribution ◽  
Perfect Fluid Distribution ◽  
Cylindrically Symmetric ◽  
Cartan Theory

Extension of van Stockum cylinder in Einstein–Cartan theory

2016 ◽  
Vol 94 (10) ◽  
pp. 1061-1063 ◽  
Author(s):  
B. Manna ◽  
S. Sinha ◽  
S. Sahoo
Keyword(s):  
Gravitational Field ◽  
Field Equation ◽  
Perfect Fluid ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Fluid Distribution ◽  
Perfect Fluid Distribution ◽  
Rigid Cylinder ◽  
Cartan Theory

The Einstein–Cartan field equation of infinitely rotating rigid cylinder is obtained and solved using the techniques of Manko–Gutsunaev and Quevedo to describe gravitational field due to extended van-Stockum cylindrically perfect fluid distribution using improved energy–momentum tensor by Ray and Smalley.

scholarly journals A type of Levi–Civita solution in modified Gauss–Bonnet gravity

2014 ◽  
Vol 92 (2) ◽  
pp. 173-176 ◽  
Author(s):  
M.E. Rodrigues ◽  
M.J.S. Houndjo ◽  
D. Momeni ◽  
R. Myrzakulov
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Perfect Fluid ◽  
Cosmic String ◽  
Coupling Parameter ◽  
Vacuum Solution ◽  
Einstein Gravity ◽  
Parameter Family ◽  
Bonnet Gravity ◽  
Cylindrically Symmetric

Herein we obtain an exact solution for cylindrically symmetric modified Gauss–Bonnet gravity. This metric is a generalization of the vacuum solution of Levi–Civita in general relativity. It describes an isotropic perfect fluid one-parameter family of the gravitational configurations, which can be interpreted as the exterior metric of a cosmic string. By setting the Gauss–Bonnet coupling parameter to zero, we recover the vacuum solution in the Einstein gravity as well.

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