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Decay Rates and Probability Estimates for Massive Dirac Particles in the Kerr-Newman Black Hole Geometry | | Felix Finster
; Niky Kamran
; Joel Smoller
; Shing-Tung Yau
; | | Date: |
28 Jul 2001 | | Journal: | Commun.Math.Phys. 230 (2002) 201-244 | | Subject: | General Relativity and Quantum Cosmology; Mathematical Physics; Analysis of PDEs | gr-qc math-ph math.AP math.MP | | Abstract: | The Cauchy problem is considered for the massive Dirac equation in the non-extreme Kerr-Newman geometry, for smooth initial data with compact support outside the event horizon and bounded angular momentum. We prove that the Dirac wave function decays in L^infty_loc at least at the rate t^{-5/6}. For generic initial data, this rate of decay is sharp. We derive a formula for the probability p that the Dirac particle escapes to infinity. For various conditions on the initial data, we show that p=0,1 or 0 | | Source: | arXiv, gr-qc/0107094 | | Services: | Forum | Review | PDF | Favorites | |
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