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Fluid/gravity correspondence and hydrodynamics of compact objects on fluid membranes

Grant number: 17/13046-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): September 01, 2017
Effective date (End): December 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Roldão da Rocha Junior
Grantee:André Juan Ferreira Martins de Moraes
Home Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
Associated scholarship(s):18/00570-5 - Fluid/gravity correspondence in the membrane paradigm and generalized black branes, BE.EP.IC


This project aims to develop theoretical and phenomenological aspects of the relationship between field theory/gravity and fluid mechanics, in the fluid/gravity correspondence paradigm. The geometric deformation method and its generalizations will implement compact stellar distributions on a fluid membrane, which may eventually collapse into a black hole, which is the solution of the Einstein equations in a bulk with Weyl fluid in codimension one. Observational effects shall be analyzed, implementing the classic tests of general relativity to bound parameters of such solutions. The location of the membrane paradigm within fluid/gravity correspondence is still proposed, in the context of AdS/CFT correspondence. The Einstein equations in the bulk shall be studied, showing their equivalence to the Navier-Stokes equations for compressible fluids at the bulk boundary. (AU)

Scientific publications (4)
(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. AdS(5)-Schwarzschild deformed black branes and hydrodynamic transport coefficients. Nuclear Physics B, v. 957, AUG 2020. Web of Science Citations: 0.
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 AUG 7 2019. Web of Science Citations: 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, APR 10 2019. Web of Science Citations: 6.
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.

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