Near Extremal Fluid Mechanics

Overview & Synopsis

This note contains below topics, A Review of Nearly Extremal Black Branes and the Conventional FluidGravity Correspondence, Massless Scalar in Extremal and NearExtremal Background, Perturbative Expansion for the Metric and Gauge Field Components, Linearised Perturbations and Constitutive Relations at First Order, TimeIndependent Solutions in Extremal Background, A Linearised EinsteinMaxwell Equations, B Higher Order Calculations in the Prototype Scalar Field Model, C NearHorizon Analysis of Metric and Gauge Field Components, D Conservation Equations and Time Evolution.