https://doi.org/10.1140/epjc/s10052-021-09651-2
Regular Article - Theoretical Physics
The mass of a Lifshitz black hole
1
Physics Department, University of Buenos Aires FCEyN-UBA and IFIBA-CONICET Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina
2
Acoustic Propagation Department, Argentinian Navy Research Office (DIIV), Laprida 555, 1638, Buenos Aires, Vicente López, Argentina
Received:
3
August
2021
Accepted:
11
September
2021
Published online:
20
September
2021
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.
© The Author(s) 2021
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