AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities
By Hsueh-I Lu, Y. Pang, C. Pope, J. Vázquez-Poritz. 2012
174 citations recorded by the source corpus.
We study black hole solutions in extended gravities with higher-order curvature terms, including conformal and Einstein-Weyl gravities. In addition to the usual AdS vacuum, the theories admit Lifshitz and Schr\'odinger vacua. The AdS black hole in conformal gravity contains an additional parameter over and above the mass, which may be interpreted as a massive spin-2 hair. By considering the first law of thermodynamics, we find that it is necessary to introduce an associated additional intensive/extensive pair of thermodynamic quantities. We also obtain new Liftshitz black holes in conformal gravity and study their thermodynamics. We use a numerical approach to demonstrate that AdS black holes beyond the Schwarzschild-AdS solution exist in Einstein-Weyl gravity. We also demonstrate the existence of asymptotically Lifshitz black holes in Einstein-Weyl gravity. The Lifshitz black holes arise at the boundary of the parameter ranges for the AdS black holes. Outside the range, the solutions develop naked singularities. The asymptotically AdS and Lifshitz black holes provide an interesting phase transition, in the corresponding boundary field theory, from a relativistic Lorentzian system to a non-relativistic Lifshitz system.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8118df29317c04c35a56b36d18f42da0bb2fbd2b
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Citations in the corpus
- Lifshitz holography (2015, background): “Analytic Lifshitz black hole solutions to higher derivative theories in various dimensions were given in [8, 9, 10, 11, 12, 13, 14].”
- AdS dyonic black hole and its thermodynamics (2013, background): “A phenomenon that is more similar to the one we have encountered in this paper arose for asymptotically-AdS black holes in conformal gravity [29, 30], where the infinitesimal Hamiltonian is not integrable and the term ∫ ∞ iξΘ leads to the inclusion of extra canonical pairs.”
- Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, background): “This has led to a number of investigations of black hole thermodynamics in this extended phase space [5–39].”