Thermodynamic stability of the stationary Lifshitz black hole of new massive gravity

Kolev, Krasimir; Staykov, Kalin V.; Vetsov, T.

doi:10.1140/epjc/s10052-019-7522-9

Cited by 6 publications

(8 citation statements)

References 68 publications

(77 reference statements)

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“…On the other hand, the specific heats diverge at this point as mentioned earlier. A similar situation takes place in the thermodynamic system studied in [7], where by analyzing the specific heats in the entropic representation one sees that this divergence does not appear, confirming the coordinate nature of the aforementioned singularity in these physical quantities.…”

Section: A Look For the Thermodynamic Stabilitysupporting

confidence: 62%

“…Before we proceed, we remark that it is convenient to work in the Gibbs free energy representation since this potential allows us to construct a positive definite metric [7]. In this sense, the Gibbs free energy can be obtained from a Legendre transformation of the energy (34), resulting in…”

Section: A Look For the Thermodynamic Stabilitymentioning

confidence: 99%

“…Since then, many static asymptotically Lifshitz Black Holes have been found in several gravitational theories [4] and different dimensions [5], failing consistently to have a rotating version. The only published advance in this direction is given in the context of New Massive Gravity with z = 3 through a boost [6], with a detailed thermodynamical study in [7]. We will extend these works to arbitrary dimensions and construct a rotating configuration that accommo-dates Lifshitz black holes in certain limit.…”

Section: Introductionmentioning

confidence: 99%

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Rotating spacetimes generalizing Lifshitz black holes

2021

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We present a spinning black hole solution in d dimensions with a maximal number of rotation parameters in the context of the Einstein–Maxwell-Dilaton theory. An interesting feature of such a solution is that it accommodates Lifshitz black holes when the rotation parameters are set to zero. We verify the rotating nature of the black hole solution by performing the quasi-local analysis of conserved charges and defining the corresponding angular momenta. In addition, we perform the thermodynamical analysis of the black hole configuration, show that the first law of thermodynamics is completely consistent, and obtain a Smarr-like formula. We further study the thermodynamic stability of the constructed solution from a local viewpoint, by computing the associated specific heats, and from a global perspective, by using the so-called new thermodynamic geometry. We finally make some comments related to a pathology found in the causal structure of the obtained rotating black hole spacetime and compute some of its curvature invariants.

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Section: A Look For the Thermodynamic Stabilitysupporting

confidence: 62%

Section: A Look For the Thermodynamic Stabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Rotating spacetimes generalizing Lifshitz black holes

2021

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“…In order to derive the corresponding mass and angular momenta related to our model (5) and black hole configuration (8) we shall consider a timelike and a set of rotational Killing vector fields, respectively.…”

Section: Conserved Charges and Black Hole Thermodynamics A Conserved ...mentioning

confidence: 99%

“…Since then, many static asymptotically Lifshitz Black Holes have been found in several gravitational theories and different dimensions, failing consistently to have a rotating version. The only published advance in this direction is given in the context of New Massive Gravity with z = 3 through a boost [4], with a detailed thermodynamical study in [5]. We will extend these works to arbitrary dimensions and construct a rotating configuration that accommodates Lifshitz black holes in certain limit.…”

Section: Introductionmentioning

confidence: 99%

Rotating Spacetimes generalizing Lifshitz Black Holes

Herrera-Aguilar,

Herrera-Mendoza,

Higuita-Borja

2021

Preprint

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We present a spinning black hole solution in d dimensions with a maximal number of rotation parameters in the context of the Eistein-Maxwell-Dilaton theory. An interesting feature of such a solution is that it accommodates Lifshitz black holes when the rotation parameters are set to zero. We verify the rotating nature of the black hole solution by performing the quasi-local analysis of conserved charges and defining the corresponding angular momenta. In addition, we perform the thermodynamical analysis of the black hole configuration, show that the first law of thermodynamics is completely consistent, and obtain a Smarr-like formula. We further study the thermodynamic stability of the constructed solution from a local viewpoint, by computing the associated specific heats, and a global perspective, by using the so-called new thermodynamic geometry. We finally make some comments related to a pathology found in the causal structure of the obtained rotating black hole spacetime.

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Information geometry theory of bifurcations? A covariant formulation

Silva

Vieira

Leonel

2022

Chaos: An Interdisciplinary Journal of Nonlinear Science

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The conventional local bifurcation theory (CBT) fails to present a complete characterization of the stability and general aspects of complex phenomena. After all, the CBT only explores the behavior of nonlinear dynamical systems in the neighborhood of their fixed points. Thus, this limitation imposes the necessity of non-trivial global techniques and lengthy numerical solutions. In this article, we present an attempt to overcome these problems by including the Fisher information theory in the study of bifurcations. Here, we investigate a Riemannian metrical structure of local and global bifurcations described in the context of dynamical systems. The introduced metric is based on the concept of information distance. We examine five contrasting models in detail: saddle-node, transcritical, supercritical pitchfork, subcritical pitchfork, and homoclinic bifurcations. We found that the metric imposes a curvature scalar R on the parameter space. Also, we discovered that R diverges to infinity while approaching bifurcation points. We demonstrate that the local stability conditions are recovered from the interpretations of the curvature R, while global stability is inferred from the character of the Fisher metric. The results are a clear improvement over those of the conventional theory.

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Thermodynamic stability of the stationary Lifshitz black hole of new massive gravity

Cited by 6 publications

References 68 publications

Rotating spacetimes generalizing Lifshitz black holes

Rotating spacetimes generalizing Lifshitz black holes

Rotating Spacetimes generalizing Lifshitz Black Holes

Information geometry theory of bifurcations? A covariant formulation

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