Open AccessPseudo-quasi-conformal curvature tensor and spacetimes of general relativity
Author(s) -
Young Suh Jin,
Vasant Chavan,
Nizam Ahmad
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2102657s
Subject(s) - spacetime , maxwell's equations in curved spacetime , mathematics of general relativity , general relativity , conformal map , introduction to the mathematics of general relativity , stationary spacetime , mathematical physics , weyl tensor , curvature , einstein tensor , einstein field equations , riemann curvature tensor , spacetime symmetries , theory of relativity , physics , mathematics , classical mechanics , numerical relativity , quantum field theory in curved spacetime , geometry , quantum mechanics , quantum gravity , quantum
In the present paper, we carried out a systematic investigation of pseudo-quasi-conformal curvature tensor has been made on the four-dimensional spacetime of general relativity. The spacetime fulfilling Einstein?s field equations with vanishing of pseudo-quasi-conformal curvature tensor is being considered and existence of Killing and conformal Killing vectors on such spacetime have been established. At last, we extend the similar case for the investigation of cosmological models with dust and perfect fluid spacetime.