𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solution of Dirac equation around a spinning black hole

✍ Scribed by Banibrata Mukhopadhyay; Sandip K. Chakrabarti

Book ID
117552931
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
224 KB
Volume
582
Category
Article
ISSN
0550-3213

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Nonexistence of time-periodic solutions
Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry
✍ Felix Finster; Niky Kamran; Joel Smoller; Shing-Tung Yau πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 174 KB πŸ‘ 2 views

We prove that in the nonextreme Kerr-Newman black hole geometry, the Dirac equation has no normalizable, time-periodic solutions. A key tool is Chandrasekhar's separation of the Dirac equation in this geometry. A similar nonexistence theorem is established in a more general class of stationary, axis

Erratum: Nonexistence of time-periodic s
Erratum: Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry
✍ Felix Finster; Niky Kamran; Joel Smoller; Shing-Tung Yau πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 9 KB πŸ‘ 2 views

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 Ο• = 0. Likewise,