Matching tetrads in f (T) gravity

The procedure underlying the matching of 1-form (tetrad) fields in theories possessing absolute parallelism - f(T) gravity being within this category - is addressed and exemplified. We show that the remnant symmetries of the intervening spaces play a central role in the process, because the knowledg...

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Detalles Bibliográficos
Autores: Fiorini, Franco Luis, Onetto, Martín Alejandro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/162164
Acceso en línea:http://hdl.handle.net/11336/162164
Access Level:acceso abierto
Palabra clave:f(T) gravity
Junction
Conditions
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descripción
Sumario:The procedure underlying the matching of 1-form (tetrad) fields in theories possessing absolute parallelism - f(T) gravity being within this category - is addressed and exemplified. We show that the remnant symmetries of the intervening spaces play a central role in the process, because the knowledge of the remnant group of local Lorentz transformations enables one to perform rotations and/or boosts in order to C1-match the corresponding tetrads on the junction surface. This automatically ensures the continuity of the Weitzenböck scalar there, even though this proves to be just a necessary condition in order to obtain a global parallelization of the spacetime.