Tensor spherical harmonics on S2 and S3 as eigenvalue problems

DOI10.1063/1.523649zbMath0425.31010OpenAlexW2048127899WikidataQ56116001 ScholiaQ56116001MaRDI QIDQ3860101

Vernon D. Sandberg

Publication date: 1978

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523649

zbMATH Keywords

Riemannian manifoldsisometry groupLaplace-Beltrami operatorGegenbauer polynomialstensor spherical harmonicsdifferential and orthogonality propertieseigenfunction problemseigenvalue equation with auxiliary conditionsvectors and tensors

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General relativity (83C99) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (8)

HAWKING RADIATION FOR SCALAR AND DIRAC FIELDS IN FIVE-DIMENSIONAL DILATONIC BLACK HOLE VIA ANOMALIES ⋮ Scalar, vector and tensor harmonics on the flat compact orientable three-manifolds ⋮ Solving partial differential equations numerically on manifolds with arbitrary spatial topologies ⋮ An extension procedure for the constraint equations ⋮ Scalar, vector and tensor harmonics on the three-sphere ⋮ On universality of holographic results for (2 + 1)-dimensional CFTs on curved spacetimes ⋮ A gap theorem for half-conformally flat manifolds ⋮ On the vanishing of Love numbers for Kerr black holes

Cites Work

• Stability of a Schwarzschild Singularity

This page was built for publication: Tensor spherical harmonics on S2 and S3 as eigenvalue problems