Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 68, Issue 1-2, Pages 255-263Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-010-1344-0
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Funding
- Korea government (MEST) [2009-0062869]
- Korea Government (MOEHRD) [KRF-2007-359-C00007]
- Ministry of Education, Science and Technology [2009-0086861]
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We study the near-horizon geometry of extremal black holes in the z=3 HoA (TM) ava-Lifshitz gravity with a flow parameter lambda. For lambda > 1/2, near-horizon geometry of extremal black holes are AdS (2)xS (2) with different radii, depending on the (modified) HoA (TM) ava-Lifshitz gravity. For 1/3a parts per thousand currency sign lambda a parts per thousand currency sign1/2, 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.
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