Corrections to Unruh effect in tunneling formalism and mapping with Hawking effect

Abstract

We consider coordinate systems adapted to accelerated observers, construct a generalised Rindler metric and then adopt a specific form of it to compute the semiclassical Unruh temperature, using a WKB approximation within a Hamilton Jacobi analysis in the tunneling picture. Corrections to this temperature are next computed by going beyond the usual WKB approximation. A connection of the corrected Unruh temperature with the Hawking temperature is established. This connection is also explained through the method of Global Embedding Minkowski Spacetime (GEMS).

arXiv commentLaTeX, 20 pages, 2 figures

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• Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method
• Anomaly analysis of Hawking radiation from Kaluza-Klein black hole with squashed horizon
• Hawking into Unruh mapping for embeddings of hyperbolic type
• When does the Hawking into Unruh mapping for global embeddings work?
• Fermions Tunneling from Higher-Dimensional Reissner-Nordström Black Hole: Semiclassical and Beyond Semiclassical Approximation
• Implications of maximum acceleration on dynamics
• Relation between quantum effects in General Relativity and embedding theory
• Mapping Hawking into Unruh for global embeddings