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Analytic investigation of rotating holographic superconductors

In this paper we have investigated, in the probe limit, s-wave holographic superconductors in rotating \(AdS_{3+1}\) spacetime using the matching method as well as the Stürm–Liouville eigenvalue approach. We have calculated the critical temperature using the matching technique in such a setting and our results are in agreement with previously reported results obtained using the...

Black Hole Thermodynamics and Generalized Uncertainty Principle with Higher Order Terms in Momentum Uncertainty

Gangopadhyay; moc.liamg@yayhdapognag.nadnanus Received 31 January 2018; Revised 16 April 2018; Accepted 23 April 2018; Published 7 June 2018 Academic Editor: George Siopsis Copyright © 2018 Sunandan ... Availability No data has been used. Conflicts of Interest There are no conflicts of interest with any funding agency regarding the publication of this manuscript. Acknowledgments Sunandan Gangopadhyay

Scalar-metric quantum cosmology with Chaplygin gas and perfect fluid

In this paper we consider the flat FRW cosmology with a scalar field coupled with the metric along with generalized Chaplygin gas and perfect fluid comprising the matter sector. We use the Schutz’s formalism to deal with the generalized Chaplygin gas sector. The full theory is then quantized canonically using the Wheeler–DeWitt Hamiltonian formalism. We then solve the WD equation...

Viscosity to entropy density ratio for non-extremal Gauss–Bonnet black holes coupled to Born–Infeld electrodynamics

The ratio of the shear viscosity to the entropy density (\(\eta /s\)) is calculated for non-extremal black holes in D dimensions with arbitrary forms of the matter Lagrangian for which the space-time metric takes a particular form. The result reduces to the standard expressions in 5 dimensions. The \(\eta /s\) ratio is then computed for Gauss–Bonnet black holes coupled to Born...

Holographic free energy and thermodynamic geometry

We obtain the free energy and thermodynamic geometry of holographic superconductors in \(2+1\) dimensions. The gravitational theory in the bulk dual to this \(2+1\)-dimensional strongly coupled theory lives in the \(3+1\) dimensions and is that of a charged AdS black hole together with a massive charged scalar field. The matching method is applied to obtain the nature of the...

Higher dimensional holographic superconductors in Born–Infeld electrodynamics with back-reaction

In this paper, we analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born–Infeld electrodynamics taking into account the back-reaction of the spacetime using the Sturm–Liouville eigenvalue method. In the background of pure Einstein and Gauss–Bonnet gravity, based on a perturbative approach, we obtain the relation...

Aspects of diffeomorphism and conformal invariance in classical Liouville theory

The interplay between the diffeomorphism and conformal symmetries (a feature common in quantum field theories) is shown to be exhibited for the case of black holes in two-dimensional classical Liouville theory. We show that although the theory is conformally invariant in the near-horizon limit, there is a breaking of the diffeomorphism symmetry at the classical level. On the...