Relativistic quantum geometry from a 5D geometrical vacuum: Gravitational waves from preinflation

Publication date: Available online 24 April 2019Source: Physics of the Dark UniverseAuthor(s): Mauricio Bellini, José Edgar Madriz Aguilar, M. Montes, P.A. SánchezAbstractIn 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.

Source: Physics of the Dark Universe - April 25, 2019 Category: Physics Source Type: research