Thick domain wall universes

Details Thick domain wall universes Thick domain wall universes

1999-02-25

arxiv.org/abs/gr-qc/9902081v3

Class.Quant.Grav. 16 (1999) 2427-2445

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages revtex, epsfig, references added, some conclusions altered

Scientific paper

10.1088/0264-9381/16/7/318

We investigate the spacetime of a thick gravitating domain wall for a general potential $V(\Phi)$. Using general analytical arguments we show that all nontrivial solutions fall into two categories: those interpretable as an isolated domain wall with a cosmological event horizon, and those which are pure false vacuum de Sitter solutions. Although this latter solution is always unstable to the field rolling coherently to its true vacuum, we show that there is an additional instability to wall formation if the scalar field does not couple too strongly to gravity. Using the $\lambda \Phi^4$ and sine-Gordon models as illustrative examples, we investigate the phase space of the gravitating domain wall in detail numerically, following the solutions from weak to strong gravity. We find excellent agreement with the analytic work. Then, we analyse the domain wall in the presence of a cosmological constant finding again the two kinds of solutions, wall and de Sitter, even in the presence of a negative cosmological constant.

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