Correspondence Principle for Black Holes in Plane Waves

Abstract

We compare the entropy as a function of energy of excited strings and black strings in an asymptotically plane wave background at the level of the correspondence principle. For the plane wave supported by the NSNS 3-form flux, neither the entropy formula nor the cross-over scale is affected by the presence of the flux and the correspondence is found to hold. For the plane wave supported by the RR 3-form flux, both the entropy and the cross-over point are modified, but the correspondence is still found to hold.

20 pages, References Added

References in corpus (3)

• Black strings in asymptotically plane wave geometries
• Classical and Quantum Strings in compactified pp-waves and Godel type Universes
• On zero-point energy, stability and Hagedorn behavior of Type IIB strings on pp-waves

Cited by in corpus (8)

• Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
• Note on the First Law with p-form potentials
• String Theory in Beta Deformed Spacetimes
• String spectrum of curved string backgrounds obtained by T-duality and shifts of polar angles
• On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves
• Matrix Model Thermodynamics
• Supersymmetric Strings and Waves in D=3, N=2 Matter Coupled Gauged Supergravities
• Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds