Normal modes of Proca fields in AdS spacetime

A normal mode analysis for Proca fields in the anti-de Sitter (AdS) spacetime is given. It is found that the equations for the Proca field can be decoupled analytically. This is performed by changing the basis of the vector spherical harmonics decomposition. The normal modes and the normal mode freq...

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Veröffentlicht in:	General relativity and gravitation 2023, Vol.55 (1), Article 5
Hauptverfasser:	Fernandes, Tiago V., Hilditch, David, Lemos, José P. S., Cardoso, Vítor
Format:	Artikel
Sprache:	eng
Schlagworte:	Astronomy Astrophysics and Cosmology Classical and Quantum Gravitation Differential Geometry Gravity Mathematical and Computational Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Research Article Spherical harmonics Theoretical
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Zusammenfassung:	A normal mode analysis for Proca fields in the anti-de Sitter (AdS) spacetime is given. It is found that the equations for the Proca field can be decoupled analytically. This is performed by changing the basis of the vector spherical harmonics decomposition. The normal modes and the normal mode frequencies of the Proca equation in the AdS spacetime are then analytically determined. It is also shown that the Maxwell field can be recovered by taking the massless limit of the Proca field with care so that the nonphysical gauge modes are eliminated.
ISSN:	0001-7701 1572-9532
DOI:	10.1007/s10714-022-03052-w