Non-relativistic geometry of holographic screens

2017/02/28 by Mudassir Moosa
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Covariant transformation #Energy (signal processing) #Energy–momentum relation #Holography #Momentum (technical analysis) #Quantum and Classical Electrodynamics #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep06(2017)038

v2: published version

openalex created_date 2017/03/16 · openalex publication_date 2017/06/01 · arxiv created 2017/06/08 · arxiv updated 2017/06/09 · openalex updated_date 2026/08/05

Abstract

We propose that the intrinsic geometry of holographic screens should be described by the Newton-Cartan geometry. As a test of this proposal, we show that the evolution equations of the screen can be written in a covariant form in terms of a stress tensor, an energy current, and a momentum one-form. We derive the expressions for the stress tensor, energy density, and momentum one-form using Brown-York action formalism.

Citations

• Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie)
• The holographic principle
• Generalized Damour-Navier-Stokes equation applied to trapping horizons
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Quasilocal energy and conserved charges derived from the gravitational action
• The world as a hologram
• A covariant entropy conjecture
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Torsional Newton–Cartan geometry from Galilean gauge theory