Generalized Navier-Stokes equations and soft hairy horizons in fluid/gravity correspondence

Author(s)

Ferreira-Martins, A. J. ^[1] ; da Rocha, R. ^[2]

Affiliation

^[1] Fed Univ ABC, Ctr Nat Sci, BR-09580210 Santo Andre, SP - Brazil

^[2] Fed Univ ABC, Ctr Math, BR-09580210 Santo Andre, SP - Brazil

• Document type: Journal article
• Source: Nuclear Physics B; v. 973, DEC 2021.
• Web of Science Citations: 0

Abstract

The fluid/gravity correspondence establishes how gravitational dynamics, as dictated by Einstein's field equations, are related to the fluid dynamics, governed by the relativistic Navier-Stokes equations. In this work the correspondence is extended, where the duality between incompressible fluids and gravitational backgrounds with soft hair excitations is implemented. This construction is set through appropriate boundary conditions to the gravitational background, leading to a correspondence between generalized in-compressible Navier-Stokes equations and soft hairy horizons. (C) 2021 The Authors. Published by Elsevier B.V. (AU)

• FAPESP's process: 17/13046-0 - Fluid/gravity correspondence and hydrodynamics of compact objects on fluid membranes
• Grantee: André Juan Ferreira Martins de Moraes
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• FAPESP's process: 21/01089-1 - Cherenkov Telescope Array: construction and first discoveries
• Grantee: Luiz Vitor de Souza Filho
• Support Opportunities: Special Projects
• FAPESP's process: 18/00570-5 - Fluid/gravity correspondence in the membrane paradigm and generalized black branes
• Grantee: André Juan Ferreira Martins de Moraes
• Support Opportunities: Scholarships abroad - Research Internship - Scientific Initiation
• FAPESP's process: 17/18897-8 - Fluid/gravity correspondence, fermionic sectors and its ramifications
• Grantee: Roldão da Rocha
• Support Opportunities: Regular Research Grants