Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons

Academic Article


  • We numerically solve for 2+1 asymptotically Lifshitz universal horizon solutions in Horava-Lifshitz gravity for dynamical exponents $z=2$ through $z=8$. We find that for all $z$ there is a thermodynamical first law and Smarr formula. Furthermore, we find that the energy-entropy relation expected for a thermal state in a two dimensional Lifshitz field theory, $E=\frac{2}{z+2}TS$, is also satisfied for universal horizons, including the correct $z$ scaling.
  • Authors

  • Cheyne, Jonathan
  • Mattingly, David
  • Publication Date

  • February 3, 2021
  • Published In

  • Physical Review D  Journal
  • Keywords

  • gr-qc
  • Digital Object Identifier (doi)

    Start Page

  • 086012
  • Volume

  • 103
  • Issue

  • 8