Lifshitz Solitons

Abstract

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 $n\ge 3$, 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 $1<z<2$, yet none when $z>2$ sufficiently.

11 pages, 7 figures, Latex; added references

References in corpus (7)

• Topological Order and Conformal Quantum Critical Points
• Black holes in asymptotically Lifshitz spacetime
• Pathologies in Asymptotically Lifshitz Spacetimes
• Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
• Quasi-Topological Lifshitz Black Holes
• Charged Lifshitz Black Holes
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Cited by in corpus (6)

• Lifshitz holography
• Mass and Thermodynamic Volume in Lifshitz Spacetimes
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Lifshitz black holes in Einstein-Yang-Mills theory
• Kasner-type singularities and solitons with Lifshitz asymptotics