Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-07-20
Chinese J. Phys. 45(2007)592-605
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, accepted for publication in Chinese J. Physics
Scientific paper
We study the consequences of timelike and spaccelike conformal Ricci and conformal matter collineations for anisotropic fluid in the context of General Relativity. Necessary and sufficient conditions are derived for a spacetime with anisotropic fluid to admit conformal Ricci and conformal matter collineations parallel to u^a and x^a. These conditions for timelike and spacelike conformal Ricci and conformal matter collineations for anisotropic fluid reduce to the conditions of perfect fluid when the heat flux and the traceless anisotropic stress tensor vanish. Further, for $\alpha=0$ (the conformal factor), we recover the earlier results of Ricci collineations and matter collineations in each case of timelike and spacelike conformal Ricci collineations and conformal matter collineations for the perfect fluid. Thus our results give the generalization of the results already available in the literature. It is worth noticing that the conditions of conformal matter collineations can be derived from the conditions of conformal Ricci collineations or vice versa under certain constraints.
Sharif Mai
Tehseen Naghmana
No associations
LandOfFree
Conformal Ricci and Matter Collineations for Anisotropic Fluid does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conformal Ricci and Matter Collineations for Anisotropic Fluid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal Ricci and Matter Collineations for Anisotropic Fluid will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-398354