Singularities and evolution of the Szekeres cosmological models

Journal Article · Wed Dec 15 00:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.3315· OSTI ID:6511540

Goode, S W; Wainwright, J

We present a new formulation of the two classes of Szekeres solutions of the Einstein field equations, which unifies the solutions as regards their dynamics, and relates them to the Friedmann-Robertson-Walker (FRW) cosmological models in a particularly transparent way. This reformulation enables us to give a general analysis of the scalar polynomial curvature singularities of the solutions, and of their evolution in time. In particular, the solutions which are close to an FRW model near the initial singularity, or in the late stages of evolution, are identified.

• Research Organization: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
• OSTI ID: 6511540
• Journal Information: Phys. Rev. D; (United States), Vol. 26:12
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
SINGULARITY
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
PERTURBATION THEORY
RICCI TENSOR
RIEMANN SPACE
EQUATIONS
FIELD EQUATIONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
SPACE
TENSORS
640106* - Astrophysics & Cosmology- Cosmology
645400 - High Energy Physics- Field Theory