On new symmetries and exact solutions of Einstein’s field equation for perfect fluid distribution

Pramana ◽  
2021 ◽  
Vol 95 (3) ◽  
Author(s):  
R K Gupta ◽  
Radhika Jain ◽  
Sachin Kumar ◽  
Divya Jyoti
Keyword(s):  
Field Equation ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Fluid Distribution ◽  
Perfect Fluid Distribution

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.

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