info:eu-repo/semantics/article
Relativistic quantum geometry from a 5D geometrical vacuum: Gravitational waves from preinflation
Fecha
2019-09Registro en:
Bellini, Mauricio; Aguilar, José Edgar Madriz; Montes, Mariana; Sánchez, Pablo Alejandro; Relativistic quantum geometry from a 5D geometrical vacuum: Gravitational waves from preinflation; Elsevier B.V.; Physics of the Dark Universe; 25; 9-2019; 1-6
2212-6864
CONICET Digital
CONICET
Autor
Bellini, Mauricio
Aguilar, José Edgar Madriz
Montes, Mariana
Sánchez, Pablo Alejandro
Resumen
In this work we introduce Relativistic Quantum Geometry (RQG) on a Modern Kaluza–Klein theory by studying the boundary conditions on a extended Einstein–Hilbert action for a 5D vacuum defined on a 5D (background) Riemannian manifold. We introduce a connection which describes a displacement from the background manifold to the extended one, on which the 5D vacuum Einstein equations with cosmological constant included, describes the dynamics of the scalar field σ, which is responsible of describing the mentioned displacement and complies with a relativistic quantum algebra that depends on the relativistic observers. In our formalism the extra dimension is considered as space-like, and therefore is a noncompact one. After considering a static foliation on the extra dimension, we obtain the dynamics for the gravitational waves that propagates on a 4D (curved) background, defined on the 4D induced curved Riemannian manifold. Finally, an example, in which we study a pre-inflationary model of the early universe is developed. We obtain some constraints from Planck2018 observations.