Space-times with intrinsic symmetries on the three-spaces t = constant

Journal Article · Mon Apr 01 04:00:00 EST 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526568· OSTI ID:5967840

Martinez, E; Sanz, J L

We consider metrics which possess a priori certain ''intrinsic symmetries'' on the three-spaces t = const. In the vacuum case, we obtain a generalization of Birkhoff's theorem and a set of solutions with a translational isometry operating on the whole space-time. In the nonvacuum case, we assume a perfect fluid matter content and a fluid flow orthogonal to the three-spaces t = const, and obtain several exact analytical solutions, some of them satisfying the standard energy conditions. In particular, a stiff equation of state is obtained in some cases, and we also have found particular solutions where a plane, spherical, or hyperbolic intrinsic symmetry is manifest.

• Research Organization: Departamento di Fiota-acute-accentsica Teorica, Facultad de Ciencias, Universidad de Santander, Santander, Spain
• OSTI ID: 5967840
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:4; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
COSMOLOGY
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
FLUID FLOW
FLUIDS
GEOMETRY
MATHEMATICS
METRICS
SPACE-TIME
SYMMETRY
TENSORS