Erratum: Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry

✍ Scribed by Felix Finster; Niky Kamran; Joel Smoller; Shing-Tung Yau

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 9 KB
• Volume: 53
• Category: Article
• ISSN: 0010-3640
• DOI: 10.1002/1097-0312(200009)53:9<1201::aid-cpa6>3.0.co;2-t

✦ Synopsis

The angular eigenvalue in equation (2.16) should not be an integer but a half odd integer. The reason is that the transformation V from the Dirac operator in the symmetric frame to the usual Dirac operator in polar coordinates given at the end of Section 2.1 has a change of sign at ϕ = 0. Likewise, the transformation U in the appendix changes sign at ϕ = 0. As a consequence, the two-spinor α is continuous on S 2 , and our proof of the regularity of the angular part holds as is. All other arguments and all our results remain true without any changes.