Large <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math> limit of Einstein’s equations
Roberto Emparan, Christopher P. Herzog
Abstract
Taking the limit of a large number of spatial dimensions is a familiar technique in statistical mechanics but, until recently, seldom used in gravity. In this review its use is described in black hole physics, and, through the anti-de Sitter/conformal field theory correspondence, in condensed matter physics and fluid mechanics.
Topics & Concepts
PhysicsLimit (mathematics)EinsteinStatistical mechanicsConformal mapMathematical physicsQuantum mechanicsGeometryMathematical analysisMathematicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories