摘要
In non-extreme Kerr-Newman-Ad S spacetime, we prove that there is no nontrivial Dirac particle which is Lpfor 0 < p≤ 4/3 with arbitrary eigenvalue λ, and for 4/3< p≤ 4/(3-2q), 0 < q <3/2 with eigenvalue|λ| > |Q| + qκ, outside and away from the event horizon. By taking q =1/2, we show that there is no normalizable massive Dirac particle with mass greater than |Q| +κ/2 outside and away from the event horizon in non-extreme Kerr-Newman-Ad S spacetime, and they must either disappear into the black hole or escape to infinity, and this recovers the same result of Belgiorno and Cacciatori in the case of Q = 0 obtained by using spectral methods.Furthermore, we prove that any Dirac particle with eigenvalue |λ| <κ/2 must be L^2 outside and away from the event horizon.
In non-extreme Kerr-Newman-Ad S spacetime, we prove that there is no nontrivial Dirac particle which is Lpfor 0 〈 p≤ 4/3 with arbitrary eigenvalue λ, and for 4/3〈 p≤ 4/（3-2q）, 0 〈 q 〈3/2 with eigenvalue｜λ｜ 〉 ｜Q｜ ＋ qκ, outside and away from the event horizon. By taking q =1/2, we show that there is no normalizable massive Dirac particle with mass greater than ｜Q｜ ＋κ/2 outside and away from the event horizon in non-extreme Kerr-Newman-Ad S spacetime, and they must either disappear into the black hole or escape to infinity, and this recovers the same result of Belgiorno and Cacciatori in the case of Q = 0 obtained by using spectral methods.Furthermore, we prove that any Dirac particle with eigenvalue ｜λ｜ 〈κ/2 must be L^2 outside and away from the event horizon.
基金
supported by National Natural Science Foundation of China(Grant Nos.11171328,11571345 and 11401168)
the Project of Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences
