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The European Physical Journal C

, Volume 68, Issue 1–2, pp 255–263 | Cite as

Extremal black holes in the Hořava–Lifshitz gravity

  • Hyung Won Lee
  • Yong-Wan Kim
  • Yun Soo MyungEmail author
Regular Article - Theoretical Physics

Abstract

We study the near-horizon geometry of extremal black holes in the z=3 Hořava–Lifshitz gravity with a flow parameter λ. For λ>1/2, near-horizon geometry of extremal black holes are AdS 2×S 2 with different radii, depending on the (modified) Hořava–Lifshitz gravity. For 1/3≤λ≤1/2, the radius v 2 of S 2 is negative, which means that the near-horizon geometry is ill-defined and the corresponding Bekenstein–Hawking entropy is zero. We show explicitly that the entropy function approach does not work for obtaining the Bekenstein–Hawking entropy of extremal black holes.

Keywords

Black Hole High Energy Phys Black Hole Solution Extremal Black Hole Horizon Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  1. 1.Institute of Basic Science and School of Computer Aided ScienceInje UniversityGimhaeKorea

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