Scalar Field Cosmologies and the Initial Space-Time Singularity

Details Scalar Field Cosmologies and the Initial Space-Time Singularity Scalar Field Cosmologies and the Initial Space-Time Singularity

1998-06-25

arxiv.org/abs/gr-qc/9806098v1

Class.Quant.Grav. 15 (1998) 3485-3504

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, 3 figures

Scientific paper

10.1088/0264-9381/15/11/014

The singularity structure of cosmological models whose matter content consists of a scalar field with arbitrary non-negative potential is discussed. The special case of spatially flat FRW space-time is analysed in detail using a dynamical systems approach which may readily be generalised to more complicated space-times. It is shown that for a very large and natural class of models a simple and regular past asymptotic structure exists. More specifically, there exists a family of solutions which is in continuous 1-1 correspondence with the exactly integrable massless scalar field cosmologies, this correspondence being realised by a unique asymptotic approximation. The set of solutions which do not fall into this class has measure zero. The significance of this result to the cosmological initial value problem is briefly discussed.

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