Black Holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent

By G. Bertoldi, Benjamin A. Burrington, A.W. Peet. 2009

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Recently, a class of gravitational backgrounds in 3 + 1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2 + 1 dimensions with critical exponent z ≥ 1. We numerically explore black holes in these backgrounds for a range of values of z. We find drastically different behavior for z > 2 and z 2 (z 2 backgrounds, we find a continuous family of black holes satisfying a finite energy condition. However, for z < 2 we find that the finite energy condition is more restrictive, and we expect only a discrete set of black hole solutions, unless some unexpected cancellations occur. For all black holes, we plot temperature T as a function of horizon radius r0. For z / 1.761 we find that this curve develops a negative slope for certain values of r0 possibly indicating a thermodynamic instability.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2250a0f27fbc1acb0acb4f1392fdf283850bd633

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Citations in the corpus

Lifshitz holography (2015, background): “Such realisations have slightly undesirable features, however: the model used in [89] is a scalar with no kinetic term; the analysis of [90] is applicable only for dynamical exponents close to one and the analytic solutions in [67] have spherical horizons.”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, methodology): “Black hole solutions of the massive vector model have been studied in [35, 41–43].”
Holographic stress tensor for non-relativistic theories (2009, methodology): “The divergences found in [29] are due to using an action which does not include the surface terms necessary to ensure the action is finite on-shell.”
Towards strange metallic holography (2009, background): “The precise form of f(v) will depend on the theory and various solutions of this form have been constructed [21, 22, 23, 24].”
Ground states of holographic superconductors (2009, background): “nstead Re <0, then the perturbation is \relevant" in the sense of becoming larger as one passes toward the infrared. The remaining ve perturbations fall into two classes (c.f. the analysis of [20]): 3: There is one perturbation with = 2 z, which we will term the \universal mode." One ca”
AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities (2012, background): “9) obtained in [60] does not hold in general in higher-derivative gravity, when massive spin-2 hair is involved.”
Holography of charged dilaton black holes (2009, background): “Other interesting examples of black hole solutions which asymptote to 4D Lifshitz metrics with various values of the dynamical exponent z have appeared in [32–41].”
Black hole chemistry: thermodynamics with Lambda (2016, background): “19) and is not consistent with the first law through the Eulerian scaling [62, 64]; for example the mass term M evidently would have to scale as Ld+z−2.”
Generalized holographic quantum criticality at finite density (2011, background): “It has been studied by a variety of authors in the past, [15, 54, 55, 43, 4, 56, 57, 58].”
Black holes and black branes in Lifshitz spacetimes (2011, methodology): “Numerical methods can be also employed to study a continuous range of z for both black holes and black branes, as done for example in [18, 19, 20, 21, 22, 23, 24].”