Tunneling across dilaton coupled black holes in anti de Sitter spacetime

Abstract

Considering generalised action for dilaton coupled Maxwell-Einstein theory in four dimensions, Gao and Zhang obtained black holes solutions for asymptotically anti de Sitter (Ads) and de Sitter (ds) spacetimes. We study the Hawking radiation in Parikh-Wilczek's tunneling formalism as well as using Bogoliubov transformations. We compare the expression of the Hawking temperature obtained from these two different approaches. Stability and the extremality conditions for such black holes are discussed. The exact dependences of the Hawking temperature and flux on the dilaton coupling parameter are determined. It is shown that the Hawking flux increases with the dilaton coupling parameter. Finally we show that the expression for the Hawking flux obtained using Bogoliubov transformation matches exactly with flux calculated via chiral gauge and gravitational anomalies. This establishes a correspondence among all these different approaches of estimating Hawking radiation from these class of black holes.

9 pages and 2 figures

References in corpus (8)

• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Quantum Tunneling and Trace Anomaly
• Hawking radiation of Dirac particles via tunneling from Kerr black hole
• Massive particles' Hawking radiation via tunneling from the G.H Dilaton black hole
• Anomalies and de Sitter radiation from the generic black holes in de Sitter spaces
• Hawking Radiation, Covariant Boundary Conditions and Vacuum States
• Hawking radiation as tunneling derived from Black Hole Thermodynamics through the quantum horizon
• The Unruh thermal spectrum through scalar and fermion tunneling