European Physical Journal C: Particles and Fields (Sep 2021)

The mass of a Lifshitz black hole

  • Gaston Giribet,
  • Edmundo Lavia

DOI
https://doi.org/10.1140/epjc/s10052-021-09651-2
Journal volume & issue
Vol. 81, no. 9
pp. 1 – 6

Abstract

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Abstract It is well known that massive 3D gravity admits solutions that describe Lifshitz black holes as those considered in non-relativistic holography. However, the determination of the mass of such black holes remained unclear as many different results were reported in the literature presenting discrepancies. Here, by using a robust method that permits to tackle the problem in the strong field regime, we determine the correct mass of the Lifshitz black hole of the higher-derivative massive gravity and compare it with other results obtained by different methods. Positivity of the mass spectrum demands an odd normalization of the gravity action. In spite of this fact, the result turns out to be consistent with computations inspired in holography.