Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-11
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 7 figures, replaced by revised version, causal structure of the solution with positive cosmological constant clarifi
Scientific paper
We investigated purely gravitational domain wall solutions to Ho\vrava nonrelativistic theory of gravity with detailed balance in 3+1 dimensions. We find that for arbitrary values of the running parameter $\lambda>1/3$ two branches of membrane solutions exist, and that in the special case $\lambda=1$ one of them is degenerate, the lapse function being undetermined. For negative values of the cosmological constant, the solution contains a single membrane sitting at the center of a space, which extends infinitely in the transverse direction approaching a Lifshitz metric. For positive values of the cosmological constant, the solution represents a space that is bounded in the transverse direction, with singularities sitting at each of the boundaries.
Argüelles Carlos R.
Grandi Nicolás E.
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