Strings near black holes are Carrollian
Arjun Bagchi, Aritra Banerjee, Jelle Hartong, Emil Have, Kedar S. Kolekar, Mangesh Mandlik
Abstract
We demonstrate that strings near the horizon of a Schwarzschild black hole, when viewed by a stationary observer at infinity, probe a string Carroll geometry, where the effective light speed is given by the distance from the horizon. We expand the Polyakov action in powers of this light speed to find a theory of Carrollian strings. We show that the string shrinks to a point to leading order near the horizon, which follows a null geodesic in a two-dimensional Rindler space. At the next-to-leading order the string oscillates in the embedding fields associated with the near-horizon two-sphere. Published by the American Physical Society 2024
Topics & Concepts
PhysicsHorizonBlack stringSchwarzschild radiusGeodesicObserver (physics)Event horizonString (physics)Geodesics in general relativityString theoryEmbeddingSchwarzschild metricTheoretical physicsClassical mechanicsMathematical physicsSpacetimeQuantum mechanicsExtremal black holeGeometryBlack braneMathematicsGeneral relativityComputer scienceArtificial intelligenceAstronomyBlack Holes and Theoretical PhysicsAstrophysical Phenomena and ObservationsCosmology and Gravitation Theories