Lifshitz/Schr\"odinger D-p-branes and dynamical exponents

Understand

We extend our earlier study of special double limits of `boosted' $AdS_5$ black hole solutions to include all black D$p$-branes of type II strings.

• We find that Lifshitz solutions can be obtained in generality, with varied dynamical exponents, by employing these limits.
• We then study such double limits for `boosted' D$p$-brane bubble solutions and find that the resulting non-relativistic solutions instead describe Schr\"odinger like spacetimes, having varied dynamical exponents.
• We get a simple map between these Lifshitz & Schr\"odinger solutions and a relationship between two types of dynamical exponents.