Defining perturbations on submanifolds - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review D Année : 2003

Defining perturbations on submanifolds

Résumé

We study the definition of perturbations in the presence of a submanifold, such as, e.g., a brane. In the standard theory of cosmological perturbations, one compares quantities at the same coordinate points in the nonperturbed and the perturbed manifolds, identified via a (nonunique) mapping between the two manifolds. In the presence of a physical submanifold one needs to modify this definition in order to evaluate perturbations of quantities at the submanifold location. As an application, we compute the perturbed metric and the extrinsic curvature tensors at the brane position in a general gauge.
Fichier principal
Vignette du fichier
malik2003.pdf (84.72 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-04111160 , version 1 (09-06-2023)

Identifiants

Citer

Karim A. Malik, María Rodríguez-Martínez, David Langlois. Defining perturbations on submanifolds. Physical Review D, 2003, 68, ⟨10.1103/PhysRevD.68.123517⟩. ⟨hal-04111160⟩
16 Consultations
6 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More