Recently, Cardoso, Houri and Kimura constructed generalized ladder operators for massive Klein- Gordon scalar fields in space-times with conformal symmetry. Their construction requires a closed conformal Killing vector, which is also an eigenvector of the Ricci tensor. Here, a similar procedure is used to construct generalized ladder operators for the Klein-Gordon equation with a scalar curvature term. It is proven that a ladder operator requires the existence of a conformal Killing vector, which must satisfy an additional property. This property is necessary and sufficient for the construction of a ladder operator. For maximally symmetric space-times, the results are equivalent to those of Cardoso, Houri and Kimura.

Ladder operators for the Klein-Gordon equation with a scalar curvature term / Mück, Wolfgang. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 97:2(2018), p. 025011. [10.1103/PhysRevD.97.025011]

Ladder operators for the Klein-Gordon equation with a scalar curvature term

Mück, Wolfgang
2018

Abstract

Recently, Cardoso, Houri and Kimura constructed generalized ladder operators for massive Klein- Gordon scalar fields in space-times with conformal symmetry. Their construction requires a closed conformal Killing vector, which is also an eigenvector of the Ricci tensor. Here, a similar procedure is used to construct generalized ladder operators for the Klein-Gordon equation with a scalar curvature term. It is proven that a ladder operator requires the existence of a conformal Killing vector, which must satisfy an additional property. This property is necessary and sufficient for the construction of a ladder operator. For maximally symmetric space-times, the results are equivalent to those of Cardoso, Houri and Kimura.
2018
Ladder operators for the Klein-Gordon equation with a scalar curvature term / Mück, Wolfgang. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 97:2(2018), p. 025011. [10.1103/PhysRevD.97.025011]
File in questo prodotto:
File Dimensione Formato  
PhysRevD.97.025011.pdf

non disponibili

Descrizione: file post-print
Tipologia: Documento in Post-print
Licenza: Accesso privato/ristretto
Dimensione 135.14 kB
Formato Adobe PDF
135.14 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/696587
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact