Several solutions of the Klein-Gordon equation in Kerr-Newman spacetime and the BSW effect
arXiv:1606.09626 · doi:10.1093/ptep/ptx075
Abstract
We investigate the radial part of the charged massive Klein-Gordon equation in Kerr-Newman spacetime, and in several specific situations, obtain exact solutions by means of essentially hypergeometric functions or their confluent types. Using these global solutions and generally obtained local solutions, we calculate a sort of intensity of the collision of two field excitations, which is a slight generalization of the trace of the stress tensor. We find that when the black hole is nonextremal, the intensity of the collision of two ingoing modes is bounded. However, in the extremal limit, more precisely , the upper bound grows so that when the frequency of one of the two modes satisfies the critical relation, the intensity of the collision at the horizon becomes unboundedly large. Furthermore, the intensity of the collision of ingoing and outgoing modes is always unbounded, as well as in the classical particle theory. Our results suggest that the BSW effect is inherited by the quantum theory.
arXiv comment44 pages, errors corrected
References in corpus (34)
- Kerr Black Holes as Particle Accelerators to Arbitrarily High Energy
- Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
- Weakly magnetized black holes as particle accelerators
- Acceleration of particles as universal property of rotating black holes
- Charged Spinning Black Holes as Particle Accelerators
- Kerr-Newman black holes with stationary charged scalar clouds
- On particle collisions in the gravitational field of the Kerr black hole
- Particle Acceleration on the Background of the Kerr-Taub-NUT Spacetime
- Collision of two general geodesic particles around a Kerr black hole
- Black holes as particle accelerators: a brief review
- Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation
- The Klein-Gordon equation in the spacetime of a charged and rotating black hole
- Rotating charged hairy black hole in (2+1) dimensions and particle acceleration
- Acceleration of particles in spacetimes of black string
- Horizon structure of rotating Bardeen black hole and particle acceleration
- Particle Acceleration in Kerr-(anti-) de Sitter Black Hole Backgrounds
- Rotating Ayón-Beato-García black hole as a particle accelerator
- Particle acceleration in Horava-Lifshitz black holes
- Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes III. Quasinormal Pulsations of Schwarzschild and Kerr Black Holes
- Ultra-high energy particle collisions in a regular spacetime without blackholes or naked singularities
- Near horizon geometry of extremal black holes and Banados-Silk-West effect
- Particle Acceleration Around 5-dimensional Kerr Black Hole
- The Klein-Gordon-Fock equation in the curved spacetime of the Kerr-Newman (anti) de Sitter black hole
- Rotating Charged Cylindrical Black Holes as Particle Accelerators
- Effects of acceleration on the collision of particles in the rotating black hole spacetime
- On the energy of particle collisions in the ergosphere of the rotating black holes
- A Slowly Rotating Black Hole in Horava-Lifshitz Gravity and a 3+1 Dimensional Topological Black Hole: Motion of Particles and BSW Mechanism
- Study of Center of Mass Energy by Particles Collision in Some Black Holes
- String black hole: Can it be a particle accelerator ?
- Charged Dilation Black Holes as Particle Accelerators
- Exact Solutions to Sourceless Charged Massive Scalar Field Equation on Kerr-Newman Background
- Particle acceleration by Majumdar-Papapetrou di-hole
- High energy physics in the vicinity of rotating black holes
- The center of mass energy of two colliding particles in the STU black holes