Generalized Painleve-Gullstrand descriptions of Kerr-Newman black holes

Abstract

Generalized Painleve-Gullstrand metrics are explicitly constructed for the Kerr-Newman family of charged rotating black holes. These descriptions are free of all coordinate singularities; moreover, unlike the Doran and other proposed metrics, an extra tunable function is introduced to ensure all variables in the metrics remain real for all values of the mass M, charge Q, angular momentum aM, and cosmological constant Λ> - 3/(a^2). To describe fermions in Kerr-Newman spacetimes, the stronger requirement of non-singular vierbein one-forms at the horizon(s) is imposed and coordinate singularities are eliminated by local Lorentz boosts. Other known vierbein fields of Kerr-Newman black holes are analysed and discussed; and it is revealed that some of these descriptions are actually not related by physical Lorentz transformations to the original Kerr-Newman expression in Boyer-Lindquist coordinates - which is the reason complex components appear (for certain ranges of the radial coordinate) in these metrics. As an application of our constructions the correct effective Hawking temperature for Kerr black holes is derived with the method of Parikh and Wilczek.

5 pages; extended to include application to derivation of Hawking radiation for Kerr black holes with Parikh-Wilczek method

References in corpus (10)

• Hawking radiation as tunneling from the Kerr and Kerr-Newman black holes
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Tunnelling Methods and Hawking's radiation: achievements and prospects
• The angular momentum of the gravitational field and the Poincare group
• Tunneling Mechanism in Kerr-Newman Black Hole and Dimensional Reduction near the Horizon
• Gravity induced neutrino-antineutrino oscillation: CPT and lepton number non-conservation under gravity
• Painleve-Gullstrand Coordinates for the Kerr Solution
• Generalized Painlevé-Gullstrand metrics
• On tunneling across horizons
• Slices of the Kerr ergosurface

Cited by in corpus (7)

• Trumpet Slices in Kerr Spacetimes
• Consistent derivation of the Hawking effect for both non-extremal and extremal Kerr black holes
• On regular frames near rotating black holes
• Schwarzschild spacetime under generalised Gullstrand-Painlevé slicing
• Hawking effect in an extremal Kerr black hole spacetime
• Charged rotating BTZ solution revisited: New coordinates and algebraic classifications
• Regular frames and particle's rotation near a black hole