Five-dimensional null-cone structure of big bang singularity

Journal Article · Mon Apr 01 00:00:00 EST 1985 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00670804· OSTI ID:6225246

Lauro, S; Schucking, E L

The Friedmann model PHI of positive space curvature, vanishing pressure and cosmological constant when isometrically imbedded as a hypersurface in five-dimensional Minkowski space MV is globally rigid: if F(PHI) and F'(PHI) are isometric embeddings in MV there is a motion of MV such that F'= F. The big bang singularity is the vertex of a null half-cone in MV. Global rigidity leads to an invariant characterization of the singularity. The structure of matter at the singularity is governed by the de Sitter group.

• Research Organization: Saint John's Univ., Jamaica, NY, USA. Dept. of Physics; New York Univ., NY, USA. Dept. of Physics
• OSTI ID: 6225246
• Journal Information: Int. J. Theor. Phys.; (United States), Vol. 24:4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL MODELS
SINGULARITY
COSMOLOGICAL CONSTANT
DE SITTER GROUP
GLOBAL ANALYSIS
INVARIANCE PRINCIPLES
MANY-DIMENSIONAL CALCULATIONS
MATTER
MINKOWSKI SPACE
SPACE-TIME
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
SPACE
SYMMETRY GROUPS
640106* - Astrophysics & Cosmology- Cosmology