Alternative Methods of Describing Structure Formation in the Lemaitre-Tolman Model

Details Alternative Methods of Describing Structure Formation in the Lemaitre-Tolman Model Alternative Methods of Describing Structure Formation in the Lemaitre-Tolman Model

2005-10-20

arxiv.org/abs/gr-qc/0510093v2

Phys.Rev.D73:023518,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted by Phys Rev D. RevTeX 4, 13 pages, no figures. Part of a series: gr-qc/0106096, gr-qc/0303016, gr-qc/0309119. Replace

Scientific paper

10.1103/PhysRevD.73.023518

We describe several new ways of specifying the behaviour of Lemaitre-Tolman (LT) models, in each case presenting the method for obtaining the LT arbitrary functions from the given data, and the conditions for existence of such solutions. In addition to our previously considered `boundary conditions', the new ones include: a simultaneous big bang, a homogeneous density or velocity distribution in the asymptotic future, a simultaneous big crunch, a simultaneous time of maximal expansion, a chosen density or velocity distribution in the asymptotic future, only growing or only decaying fluctuations. Since these conditions are combined in pairs to specify a particular model, this considerably increases the possible ways of designing LT models with desired properties.

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