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An infinite-dimensional family of black-hole microstate geometries

✍ Scribed by Iosif Bena; Nikolay Bobev; Stefano Giusto; Clément Ruef; Nicholas P. Warner

Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
584 KB
Volume
2011
Category
Article
ISSN
1126-6708

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Nonexistence of time-periodic solutions
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✍ Felix Finster; Niky Kamran; Joel Smoller; Shing-Tung Yau 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB 👁 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
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✍ Felix Finster; Niky Kamran; Joel Smoller; Shing-Tung Yau 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 9 KB 👁 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 ϕ = 0. Likewise,