Conformal collineations and anisotropic fluids in general relativity

Journal Article · Wed Oct 01 00:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527317· OSTI ID:5080071

Duggal, K L; Sharma, R

Recently, Herrera et al. (L. Herrera, J. Jimenez, L. Leal, J. Ponce de Leon, M. Esculpi, and V. Galino, J. Math. Phys. 25, 3274 (1984)) studied the consequences of the existence of a one-parameter group of conformal motions for anisotropic matter. They concluded that for special conformal motions, the stiff equation of state (p = ..mu..) is singled out in a unique way, provided the generating conformal vector field is orthogonal to the four-velocity. In this paper, the same problem is studied by using conformal collineations (which include conformal motions as subgroups). It is shown that, for a special conformal collineation, the stiff equation of state is not singled out. Non-Einstein Ricci-recurrent spaces are considered as physical models for the fluid matter.

• Research Organization: Department of Mathematics, University of Windsor, Windsor, Ontario, Canada N9B 3P4
• OSTI ID: 5080071
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 27:10
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FLUIDS
EQUATIONS OF MOTION
EQUATIONS OF STATE
GENERAL RELATIVITY THEORY
CONFORMAL GROUPS
CONFORMAL INVARIANCE
CONFORMAL MAPPING
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MAPPING
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY GROUPS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation