Evolution of density perturbations in f(R) theories of gravity

In the context of f(R) theories of gravity, we study the evolution of scalar cosmological perturbations in the metric formalism. Using a completely general procedure, we find the exact fourth-order differential equation for the matter density perturbations in the longitudinal gauge. In the case of s...

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Detalles Bibliográficos
Autores: Cruz Dombriz, Álvaro de la, Dobado González, Antonio, López Maroto, Antonio
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/50653
Acceso en línea:https://hdl.handle.net/20.500.14352/50653
Access Level:acceso abierto
Palabra clave:53
Cosmological Perturbations
Accelerating Universe
Dark Energy
Supernovae
Constant
Física (Física)
22 Física
Descripción
Sumario:In the context of f(R) theories of gravity, we study the evolution of scalar cosmological perturbations in the metric formalism. Using a completely general procedure, we find the exact fourth-order differential equation for the matter density perturbations in the longitudinal gauge. In the case of sub-Hubble modes, the expression reduces to a second-order equation which is compared with the standard (quasistatic) equation used in the literature. We show that for general f(R) functions the quasistatic approximation is not justified. However, for those functions adequately describing the present phase of accelerated expansion and satisfying local gravity tests, it provides a correct description for the evolution of perturbations.