Eigenvalue Problem of Scalar Fields in BTZ Black Hole Spacetime

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dc.creatorKuwata, Maiko
dc.creatorKenmoku, Masakatsu
dc.creatorShigemoto, Kazuyasu
dc.date2008-03-05
dc.date.accessioned2026-07-07T11:40:38Z
dc.date.available2026-07-07T11:40:38Z
dc.descriptionWe studied the eigenvalue problem of scalar fields in the (2+1)-dimensional BTZ black hole spacetime. The Dirichlet boundary condition at infinity and the Dirichlet or the Neumann boundary condition at the horizon are imposed. Eigenvalues for normal modes are characterized by the principal quantum number $(0<n)$ and the azimuthal quantum number $(-\infty<m< \infty)$. Effects to eigenvalues of the black hole rotation and of the scalar field mass are studied explicitly. Relation of the black hole rotation to the super-radiant instability is discussed.
dc.description10 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0803.0604
dc.identifierhttp://arxiv.org/abs/0803.0604
dc.identifierProg.Theor.Phys.119:939-948,2008
dc.identifierdoi:10.1143/PTP.119.939
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200314
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEigenvalue Problem of Scalar Fields in BTZ Black Hole Spacetime
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