Dynamics of non-minimally coupled perfect fluids

[EN] We present a general formulation of the theory for a non-minimally coupled perfect fluid in which both conformal and disformal couplings are present. We discuss how such non-minimal coupling is compatible with the assumptions of a perfect fluid and derive both the Einstein and the fluid equatio...

Descripción completa

Detalles Bibliográficos
Autores: Bettoni, Dario (1983-), Liberati, Stefano
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2015
País:España
Institución:Universidad Rey Juan Carlos
Repositorio:BULERIA. Repositorio Institucional de la Universidad de León
OAI Identifier:oai:buleria.unileon.es:10612/18058
Acceso en línea:https://hdl.handle.net/10612/18058
Access Level:acceso abierto
Palabra clave:Física
Gravitación
Física teórica
Dinámica de fluidos
Modified gravity
Cosmological evolution
Non-minimal coupling
Fluid dynamics
2101.05 Gravitación
2204 Física de Fluidos
Descripción
Sumario:[EN] We present a general formulation of the theory for a non-minimally coupled perfect fluid in which both conformal and disformal couplings are present. We discuss how such non-minimal coupling is compatible with the assumptions of a perfect fluid and derive both the Einstein and the fluid equations for such model. We found that, while the Euler equation is significantly modified with the introduction of an extra force related to the local gradients of the curvature, the continuity equation is unaltered, thus allowing for the definition of conserved quantities along the fluid flow. As an application to cosmology and astrophysics we compute the effects of the non-minimal coupling on a Friedmann-Lemaȋtre-Robertson-Walker metric at both background and linear perturbation level and on the Newtonian limit of our theory.