Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent

Understand

Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent $z\geq 1$.

• We numerically explore black holes in these backgrounds for a range of values of $z$.
• We find drastically different behavior for $z>2$ and $z<2$.
• We find that for $z>2$ ($z<2$) the Lifshitz fixed point is repulsive (attractive) when going to larger radial parameter $r$.