The geometry of RN-AdS fluids

Bairagya, Joy Das; Pal, Kunal; Pal, Kuntal; Sarkar, Tapobrata

doi:10.1016/j.physletb.2020.135416

Cited by 7 publications

(4 citation statements)

References 15 publications

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“…A similar situation occurs with Θ, as we explain via equation (10). Importantly, for relations E and F to be physically justifiable, R should have dimensions of volume, due to which thermodynamic geometry is always defined via potentials per unit volume (for a more detailed discussion in the context of black holes, see [14,15]). Keeping these issues in mind, in this paper we shall introduce a new metric on the parameter manifold which is conformally related to the known FIM, but in which R is invariant under the CT and so is Θ, so that properties A-D are retained.…”

Section: Introductionmentioning

confidence: 79%

Conformal Fisher information metric with torsion

Pal¹,

Pal²,

Sarkar³

2023

J. Phys. A: Math. Theor.

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We consider torsion in parameter manifolds that arises via conformal transformations of the Fisher information metric, and define it for information geometry of a wide class of physical systems. The torsion can be used to differentiate between probability distribution functions that otherwise have the same scalar curvature and hence define similar geometries. In the context of thermodynamic geometry, our construction gives rise to a new scalar—the torsion scalar defined on the manifold, while retaining known physical features related to other scalar quantities. We analyse this in the context of the Van der Waals and the Curie–Weiss models. In both cases, the torsion scalar has non trivial behaviour on the spinodal curve. We also briefly comment on the one dimensional classical Ising model and show that the torsion scalar diverges exponentially near criticality.

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Section: Introductionmentioning

confidence: 79%

Conformal Fisher information metric with torsion

Pal¹,

Pal²,

Sarkar³

2023

J. Phys. A: Math. Theor.

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“…Therefore, we shall be exploring a fluid-like description of black hole microstructures which may be thought of as being analogous to the molecules present in a fluid. Since v 2r + corresponds to the specific (fluid) volume of the black hole, a number density ρ 1/v can be naturally associated with the system [80,86,87]. One can then alternatively write the equation of state [Eq.…”

Section: Microstructures Of Black Holes and A Mean Field Descriptionmentioning

confidence: 99%

Thermodynamic Curvature of AdS Black Holes with Dark Energy

Singh¹,

Ghosh²,

Bhamidipati³

2021

Front. Phys.

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In this paper, we study the effect of dark energy on the extended thermodynamic structure and interacting microstructures of black holes in AdS, through an analysis of thermodynamic geometry. Considering various limiting cases of the novel equation of state obtained in charged rotating black holes with quintessence, and taking enthalpy H as the key potential in the extended phase space, we scrutinize the behavior of the Ruppeiner curvature scalar R in the entropy-pressure (S,P)-plane (or equivalently in the temperature-volume (T,V)-plane). Analysis of R empirically reveals that dark energy parameterized by α, significantly alters the dominant interactions of neutral, charged and slowly rotating black hole microstructures. In the Schwarzschild-AdS case: black holes smaller than a certain size continue to have attractive interactions whereas larger black holes are completely dominated by repulsive interactions which arise to due dark energy. For charged or rotating AdS black holes with quintessence, R can change sign at multiple points depending upon the relation between α and charge q or angular momentum J. In particular, above a threshold value of α, R is never negative at all, suggesting heuristically that the repulsive interactions due to quintessence are long ranged as opposed to the previously known short ranged repulsion in charged AdS black holes. A mean field interaction potential is proposed whose extrema effectively capture the points where the curvature R changes sign.

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“…where Q i and J k are the charge parameter and the angular momentum parameter, respectively. Based on this issue, a series of studies on the thermodynamic behavior of AdS black holes have been done in the extended phase space [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Firstly, people found that the charged AdS black hole has a behavior similar to Van de Waals phase transition when choosing the quantities P and V as the independent dual variables.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of the Reissner–Nordström-de Sitter spacetime with quintessence

Zhang

et al. 2022

Eur. Phys. J. C

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For Anti-de Sitte (AdS) black holes, the isochoric heat capacity of system is vanished, while the isobaric heat capacity is not. However, this situation does not hold on for de Sitter (dS) black holes. In this work, by introducing the interaction between the black hole horizon and the cosmological horizon of the Reissner–Nordström-de Sitter (RNdS) spacetime with quintessence, we discuss the phase transition of this system. The results show that the spacetime not only has the similar phase transition behavior to that of Van der Waals (VdW) system, and the non-vanishing isochoric heat capacity fulfills the whole thermodynamics system. Through the discussion of the entropic force between two horizons, we find out the role of entropic force in the evolution of spacetime. In addition, we also study the influence of various parameters on the phase transition and entropic force, which will provide a new method for exploring the interaction among black hole molecules from a micro perspective.

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The geometry of RN-AdS fluids

Cited by 7 publications

References 15 publications

Conformal Fisher information metric with torsion

Conformal Fisher information metric with torsion

Thermodynamic Curvature of AdS Black Holes with Dark Energy

Thermodynamics of the Reissner–Nordström-de Sitter spacetime with quintessence

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