A Lifshitz black hole in four dimensional R 2 gravity

106Citations
Citations of this article
14Readers
Mendeley users who have this article in their library.

Abstract

We consider a higher derivative gravity theory in four dimensions with a negative cosmological constant and show that vacuum solutions of both Lifshitz type and Schrödinger type with arbitrary dynamical exponent z exist in this system. Then we find an analytic black hole solution which asymptotes to the vacuum Lifshitz solution with z = 3/2 at a specific value of the coupling constant. We analyze the thermodynamic behavior of this black hole and find that the black hole has zero entropy while non-zero temperature, which is very similar to the case of BTZ black holes in new massive gravity at a specific coupling. In addition, we find that the three dimensional Lifshitz black hole recently found by E. Ayon-Beato et al. has a negative entropy and mass when the Newton constant is taken to be positive. © 2009 SISSA.

Cite

CITATION STYLE

APA

Cai, R. G., Liu, Y., & Sun, Y. W. (2009). A Lifshitz black hole in four dimensional R 2 gravity. Journal of High Energy Physics, 2009(10). https://doi.org/10.1088/1126-6708/2009/10/080

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free