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Fluid / gravity correspondence and applications

Abstract

We shall study hydrodynamics in codimension one spacetimes, from the point of view of an effective theory describing black strings perturbations, in the limit of long wavelength. We shall investigate elastic properties of the corresponding system, that is constituted by a fluid membrane. Hydrodynamic effects associated to black strings are going to be studied in the context of the fluid/gravity correspondence, in particular in the context variable tension brane-world models provided, in particular, by the so called E\"otv\"os brane-world models. We shall study black strings and generalizations, relating fluids flow and black strings dynamics, from the duality between fluid vorticity and gravitation. Generalized black strings perturbations shall be analyzed, by using the Gregory-Laflamme well-established procedure, in the context of the fluid/gravity correspondence. {Black strings shall be approached and studied by providing a relativistic generalization of the elasticity theory for membranes, when bending and additional spin effects are taken into account. The dipole contribution for the effective distribution of the tension induced by the bending of realistic black strings shall be studied, thus obtaining metrics for the respective underlying spacetimes. Moreover, the relativistic generalization of the Young's modulus as well as the elastic response of black strings shall be approached. In a dual approach, we shall analyse the black strings final states under perturbations in the Gregory-Laflamme procedure, and further possible analogies with the Plateau-Rayleigh phenomenon in fluid dynamics shall be investigated.Finally we shall study some additional consequences, regarding fermionic aspects of the fluid/gravity correspondence, in the context already developed by the Researcher of this project. (AU)

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Scientific publications (33)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FERNANDES-SILVA, A.; FERREIRA-MARTINS, A. J.; DA ROCHA, R. The extended minimal geometric deformation of SU(N) dark glueball condensates. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 8 AUG 7 2018. Web of Science Citations: 17.
BRAGA, NELSON R. F.; DA ROCHA, ROLDAO. AdS/QCD duality and the quarkonia holographic information entropy. Physics Letters B, v. 776, p. 78-83, JAN 10 2018. Web of Science Citations: 16.
BARBOSA-CENDEJAS, NANDINII; CARTAS-FUENTEVILLA, ROBERTO; HERRERA-AGUILAR, ALFREDO; RIGEL MORA-LUNA, REFUGIO; DA ROCHA, ROLDAO. A de Sitter tachyonic braneworld revisited. Journal of Cosmology and Astroparticle Physics, n. 1 JAN 2018. Web of Science Citations: 3.
DA ROCHA, R.; SOBREIRO, R. F.; TOMAZ, A. A. Quadratic curvature terms and deformed Schwarzschild-de Sitter black hole analogues in the laboratory. Physics Letters B, v. 775, p. 277-282, DEC 10 2017. Web of Science Citations: 1.
DA SILVA, A. GONCALVES; DA ROCHA, ROLDAO. Information-entropic analysis of Korteweg-de Vries solitons in the quark-gluon plasma. Physics Letters B, v. 774, p. 98-102, NOV 10 2017. Web of Science Citations: 8.
HOFF DA SILVA, J. M.; CORONADO VILLALOBOS, C. H.; DA ROCHA, ROLDAO; BUENO ROGERIO, R. J. On the spinor representation. EUROPEAN PHYSICAL JOURNAL C, v. 77, n. 7 JUL 21 2017. Web of Science Citations: 3.
DA ROCHA, ROLDAO. Dark SU(N) glueball stars on fluid branes. Physical Review D, v. 95, n. 12 JUN 8 2017. Web of Science Citations: 28.
DA ROCHA, ROLDAO. Black hole acoustics in the minimal geometric deformation of a de Laval nozzle. EUROPEAN PHYSICAL JOURNAL C, v. 77, n. 5 MAY 29 2017. Web of Science Citations: 24.
FERRARI, A. F.; NETO, J. A. S.; DA ROCHA, R. The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework. GENERAL RELATIVITY AND GRAVITATION, v. 49, n. 5 MAY 2017. Web of Science Citations: 1.
BRAGA, NELSON R. F.; DA ROCHA, ROLDAO. Configurational entropy of anti-de Sitter black holes. Physics Letters B, v. 767, p. 386-391, APR 10 2017. Web of Science Citations: 28.
DA ROCHA, ROLDAO; CAVALCANTI, R. T. Flag-dipole and flagpole spinor fluid flows in Kerr spacetimes. PHYSICS OF ATOMIC NUCLEI, v. 80, n. 2, p. 329-333, MAR 2017. Web of Science Citations: 10.
DANTAS, D. M.; DA ROCHA, ROLDAO; ALMEIDA, C. A. S. Exotic Elko on string-like defects in six dimensions. EPL, v. 117, n. 5 MAR 2017. Web of Science Citations: 4.
BERNARDINI, ALEX E.; BRAGA, NELSON R. F.; DA ROCHA, ROLDAO. Configurational entropy of glueball states. Physics Letters B, v. 765, p. 81-85, FEB 10 2017. Web of Science Citations: 30.
CASADIO, ROBERTO; DA ROCHA, ROLDAO. Stability of the graviton Bose-Einstein condensate in the brane-world. Physics Letters B, v. 763, p. 434-438, DEC 10 2016. Web of Science Citations: 48.
BERNARDINI, ALEX E.; DA ROCHA, ROLDAO. Entropic information of dynamical AdS/QCD holographic models. Physics Letters B, v. 762, p. 107-115, NOV 10 2016. Web of Science Citations: 27.
CAVALCANTI, R. T.; GONCALVES DA SILVA, A.; DA ROCHA, ROLDAO. Strong deflection limit lensing effects in the minimal geometric deformation and Casadio-Fabbri-Mazzacurati solutions. Classical and Quantum Gravity, v. 33, n. 21 NOV 3 2016. Web of Science Citations: 24.
CASADIO, R.; CAVALCANTI, R. T.; DA ROCHA, ROLDAO. Fluid/gravity correspondence and the CFM black brane solutions. EUROPEAN PHYSICAL JOURNAL C, v. 76, n. 10 OCT 17 2016. Web of Science Citations: 3.
CHINAGLIA, M.; BERNARDINI, A. E.; DA ROCHA, ROLDAO. Braneworld Scenarios from Deformed Defect Chains. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, v. 55, n. 10, p. 4605-4619, OCT 2016. Web of Science Citations: 4.
DE BRITO, K. P. S.; DA ROCHA, ROLDAO. New fermions in the bulk. Journal of Physics A-Mathematical and Theoretical, v. 49, n. 41 OCT 2016. Web of Science Citations: 9.
BAZEIA, D.; LOSANO, L.; MARQUES, M. A.; MENEZES, R.; DA ROCHA, R. Compact Q-balls. Physics Letters B, v. 758, p. 146-151, JUL 10 2016. Web of Science Citations: 13.
BERNARDINI, ALEX E.; DA ROCHA, ROLDAO. Perturbatively deformed defects in Poschl-Teller-driven scenarios for quantum mechanics. Physics Letters A, v. 380, n. 29-30, p. 2279-2287, JUL 1 2016. Web of Science Citations: 6.
KUERTEN, ANDRE M.; DA ROCHA, ROLDAO. Probing topologically charged black holes on brane worlds in f(R) bulk. GENERAL RELATIVITY AND GRAVITATION, v. 48, n. 7 JUL 2016. Web of Science Citations: 3.
HOFF DA SILVA, J. M.; CORONADO VILLALOBOS, C. H.; DA ROCHA, ROLDAO. Black Holes and Exotic Spinors. UNIVERSE, v. 2, n. 2 JUN 2016. Web of Science Citations: 3.
CORREA, R. A. C.; DANTAS, D. M.; ALMEIDA, C. A. S.; DA ROCHA, ROLDAO. Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure. Physics Letters B, v. 755, p. 358-362, APR 10 2016. Web of Science Citations: 31.
BUENO ROGERIO, R. J.; HOFF DA SILVA, J. M.; PEREIRA, S. H.; DA ROCHA, ROLDAO. A framework to a mass-dimension-one fermionic sigma model. EPL, v. 113, n. 6 MAR 2016. Web of Science Citations: 7.
DOS ANJOS, RITA C.; COIMBRA-ARAUJO, CARLOS H.; DA ROCHA, ROLDAO; DE SOUZA, VITOR. Ultra high energy cosmic rays and possible signature of black strings. Journal of Cosmology and Astroparticle Physics, n. 3 MAR 2016. Web of Science Citations: 3.
BONORA, L.; DA ROCHA, ROLDAO. New spinor fields on Lorentzian 7-manifolds. Journal of High Energy Physics, n. 1 JAN 21 2016. Web of Science Citations: 8.
GERMAN, GABRIEL; HERRERA-AGUILAR, ALFREDO; MARTORANO KUERTEN, ANDRE; MALAGON-MOREJON, DAGOBERTO; DA ROCHA, ROLDAO. Stability of a tachyon braneworld. Journal of Cosmology and Astroparticle Physics, n. 1 JAN 2016. Web of Science Citations: 6.
BERNARDINI, ALEX E.; DA ROCHA, ROLDAO. Matter Localization on Brane-Worlds Generated by Deformed Defects. Advances in High Energy Physics, 2016. Web of Science Citations: 9.
CAVALCANTI, R. T.; DA ROCHA, ROLDAO. Dark Spinors Hawking Radiation in String Theory Black Holes. Advances in High Energy Physics, 2016. Web of Science Citations: 6.
CORREA, R. A. C.; MORAES, P. H. R. S.; DE SOUZA DUTRA, A.; DA ROCHA, ROLDAO. Information content in F(R) brane models with nonconstant curvature. Physical Review D, v. 92, n. 12 DEC 11 2015. Web of Science Citations: 10.
CASADIO, R.; OVALLE, J.; DA ROCHA, ROLDAO. The minimal geometric deformation approach extended. Classical and Quantum Gravity, v. 32, n. 21 NOV 5 2015. Web of Science Citations: 37.
CORREA, R. A. C.; MORAES, P. H. R. S.; DA ROCHA, ROLDAO. False vacuum transitions - Analytical solutions and decay rate values. EPL, v. 111, n. 4 AUG 2015. Web of Science Citations: 6.

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