Open AccessSolution of Einstein’s Field Equations for the Static Fluid Sphere
Author(s) -
Abhishek Kumar Singh
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1714/1/012036
Subject(s) - einstein , physics , perfect fluid , scalar field , classical mechanics , cosmological constant , degenerate energy levels , general relativity , exact solutions in general relativity , field equation , einstein field equations , vector field , mathematical physics , mechanics , quantum mechanics
In this paper we deals about some exact static spherical solution of Einstein’s field equations with Λ = 0 (cosmological constant) and p = ρ (taking suitable choice of g 11 and g 44) . We have e ψ = km 5 4 and e −χ = l, which help to investigate the value of e χ . Here some previously known solutions are contained as a particular case. The explicit expressions for rotation, shear scalar of expansion and fluid velocity have also investigated. We get some previously known solution for distinct values of n. Here Λ = 0, this implies that Einstein element would degenerate into a line element of special relativity for flat space time. It also helpful to investigates solution for the perfect fluid core.