Anisotropic spheres admitting a one-parameter group of conformal motions

Journal Article · Thu Aug 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526872· OSTI ID:5511057

Herrera, L; Ponce de Leon, J

The Einstein equations for spherically symmetric distributions of anisotropic matter (principal stresses unequal), are solved, assuming the existence of a one-parameter group of conformal motions. All solutions can be matched with the Schwarzschild exterior metric on the boundary of matter. Two families of solutions represent, respectively, expanding and contracting spheres which asymptotically tend to a static sphere with a surface potential equal to (1)/(3) . A third family of solutions describes ''oscillating black holes.'' All solutions possess a positive energy density larger than the stresses everywhere.

• Research Organization: Departamento de Fisica, Facultad de Ciencias, Universidad Central de Venezuela, Caracas 1051, Venezuela
• OSTI ID: 5511057
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANISOTROPY
BLACK HOLES
BOUNDARY CONDITIONS
CONTRACTION
EINSTEIN FIELD EQUATIONS
EQUATIONS
EXPANSION
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
OSCILLATIONS
SPHERES