Anisotropic fluids and conformal motions in general relativity

Journal Article · Thu Nov 01 04:00:00 EST 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526075· OSTI ID:6347189

Herrera, L; Jimenez, J; Leal, L; Ponce de Leon, J; Esculpi, M; Galina, V

We study the consequences of the existence of a one-parameter group of conformal motions for anisotropic matter, in the context of general relativity. It is shown that for a class of conformal motions (special conformal motions), the equation of state is uniquely determined by the Einstein equations. For spherically symmetric and static distributions of matter we found two analytical solutions of the Einstein equations which correspond to isotropic and anisotropic matter, respectively. Both solutions can be matched to the Schwarzschild exterior metric and possesses positive energy density larger than the stresses, everywhere within the sphere.

• Research Organization: Departmento de Fisica, Facultad de Ciencias, Universidad Central de Venezuela, Caracas 1051, Venezuela
• OSTI ID: 6347189
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 25:11; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
CONFORMAL GROUPS
FIELD THEORIES
FLUIDS
GENERAL RELATIVITY THEORY
LIE GROUPS
SPACE-TIME
SYMMETRY GROUPS
VECTOR FIELDS