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Fluid/gravity correspondence in the membrane paradigm and generalized black branes

Grant number: 18/00570-5
Support type:Scholarships abroad - Research Internship - Scientific Initiation
Effective date (Start): May 01, 2018
Effective date (End): August 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal researcher:Roldão da Rocha Junior
Grantee:André Juan Ferreira Martins de Moraes
Supervisor abroad: Daniel Grumiller
Home Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
Research place: Vienna University of Technology (TU Wien), Austria  
Associated to the scholarship:17/13046-0 - Fluid/gravity correspondence and hydrodynamics of compact objects on fluid membranes, BP.IC


This project develops and implements important theoretical and phenomenological aspects of the fluid/gravity correspondence, using generalized black branes, their fermionic sectors and ramifications. We shall limit the parameter that governs the geometric deformation of AdS--Schwarzschild black branes, to be implemented by the recently constructed AdS--MGD black brane, from the shear viscosity-to-entropy density ratio, deriving and using the analogue Kovtun--Son--Starinets saturation for the respective cases here studied. Dirac fluids shall therefore be studied from the Einstein--Maxwell--dilaton action with gauge field on an AdS_4 bulk, as well as its renormalizable generalizations involving Gauss--Bonnet and Chern--Pontryagin invariants. We shall formulate the violation of the thermal conductivity-to-electrical conductivity ratio in the graphene, which is much larger than that predicted for Fermi liquids. (AU)

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Scientific publications (5)
(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)
FERREIRA-MARTINS, A. J.; MEERT, P.; DA ROCHA, R.. Deformed AdS(4)-Reissner-Nordstrom black branes and shear viscosity-to-entropy density ratio. EUROPEAN PHYSICAL JOURNAL C, v. 79, n. 8, . (17/18897-8, 18/00570-5, 17/13046-0)
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, . (18/00570-5, 17/13046-0, 15/10270-0)
FERREIRA-MARTINS, A. J.; MEERT, P.; DA ROCHA, R.. AdS(5)-Schwarzschild deformed black branes and hydrodynamic transport coefficients. Nuclear Physics B, v. 957, . (17/18897-8, 18/00570-5, 17/13046-0)
FERNANDES-SILVA, A.; FERREIRA-MARTINS, A. J.; DA ROCHA, R.. Extended quantum portrait of MGD black holes and information entropy. Physics Letters B, v. 791, p. 323-330, . (17/13046-0, 18/00570-5, 17/18897-8)

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