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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluids
Journal of Mathematical Physics, Volume 27, No. 12, Year 1986
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Description
An example from a perfect fluid FRW space-time is presented to show that a conformal Killing vector (CKV) need not map fluid flow lines into fluid flow lines. Kinematic properties of the Lie derivative along a CKV of timelike and spacelike unit vectors are derived and applied to the fluid unit four-velocity vector. Dynamic properties of special conformal Killing vectors (SCKV) in a fluid with anisotropic pressure and vanishing energy flux are obtained using Einstein's field equations. It is shown that a SCKV maps both fluid flow lines and integral curves of na into themselves, where na is the unit spacelike vector of anisotropy. The relation between the anisotropic pressure components and the energy density is considered. By means of an example from a radiationlike viscous fluid FR W space-time it is shown that the dynamic results depend crucially on the vanishing of the energy flux vector. The extension of the dynamic results to a fluid with arbitrary stress tensor and zero energy flux vector is examined. © 1986 American Institute of Physics.
Authors & Co-Authors
Maartens, Roy
South Africa, Johannesburg
University of the Witwatersrand
Mason, David Paul
South Africa, Johannesburg
University of the Witwatersrand
Tsamparlis, Michael
Greece, Athens
National and Kapodistrian University of Athens
Statistics
Citations: 105
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1063/1.527225
ISSN:
00222488