QC458 : Fluid/Gravity Correspondence and Holographic Equation of State
Thesis > Central Library of Shahrood University > Physics > MSc > 2019
Authors:
Masoumeh Dehghan [Author], Kazem Bitaghsir fadafan[Supervisor], Behnam Pourhassan [Supervisor]
Abstarct: It is now widely accepted that there is a precise correspondence between observables in a (d - 1) dimensional gauge field theory and a d-dimensional gravity theory. Indeed, since this duality was precisely formulated by Maldacena. In particular, the long wavelength regime of the duality, known as the fluid/gravity correspondence, It follows from the factthat a relativisticform of the Navier-Stokes equations governing the hydrodynamic limit of a field theory in (d - 1) dimensions, on a fixed background γ_ab, is equivalent to the dynamics of d-dimensional Einstein gravity with a negative cosmological constant with γ_ab as its conformal boundary. This correspondence allows one to pick a fluid dynamical solution, with an equation of state dictated by the tracelessness of the boundary energy momentum tensor, and reconstruct a bulk solution of the full Einstein equations, This opened the possibility of modeling fluid dynamics using general relativity.
Keywords:
#field theory #gravity theory #fluid/gravity correspondence #energy momentum tensor. Link
Keeping place: Central Library of Shahrood University
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