Lifshitz Solitons

Details Lifshitz Solitons Lifshitz Solitons

2011-09-23

arxiv.org/abs/1109.5044v2

Phys.Rev.D84:124047,2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 7 figures, Latex; added references

Scientific paper

10.1103/PhysRevD.84.124047

We numerically obtain a class of soliton solutions for Einstein gravity in $(n+1)$ dimensions coupled to massive abelian gauge fields and with a negative cosmological constant with Lifshitz asymptotic behaviour. We find that for all $n\geq3$, a discrete set of magic values for the charge density at the origin (guaranteeing an asymptotically Lifshitz geometry) exists when the critical exponent associated with the Lifshitz scaling is $z=2$; moreover, in all cases, a single magic value is obtained for essentially every $12$ sufficiently.

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