Exact Conformal Scalar Field Cosmologies

Abstract

New exact solutions of Einstein's gravity coupled to a self-interacting conformal scalar field are derived in this work. Our approach extends a solution-generating technique originally introduced by Bekenstein for massless conformal scalar fields. Solutions are obtained for a Friedmann-Robertson-Walker geometry both for the cases of zero and non-zero curvatures, and a variety of interesting features are found. It is shown that one class of solutions tends asymptotically to a power-law inflationary behaviour $S(t)\sim t^p$ with $p>1$, while another class exhibits a late time approach to the $S(t)\sim t$ behaviour of the coasting models. Bouncing models which avoid an initial singularity are also obtained. A general discussion of the asymptotic behaviour and of the possibility of occurrence of inflation is provided.

Latex, 27 pages plus 16 figures (not included, available from the authors upon request) DFFCUL-94-01-01

Cited by in corpus (24)

• Inflation and quintessence with nonminimal coupling
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• The conformal transformation's controversy: what are we missing?
• Conformal Transformation in Gravity
• Exact Einstein-scalar field solutions for formation of black holes in a cosmological setting
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Scalar-tensor cosmology at the general relativity limit: Jordan vs Einstein frame
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• New inhomogeneous universes in scalar-tensor and f(R) gravity
• Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources
• Can the Big Bang Singularity be avoided by a single scalar field?
• Dark energy and dark matter from an inhomogeneous dilaton
• Quasinormal modes of a massive scalar field nonminimally coupled to gravity in the spacetime of Self-Dual Black Hole
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Noncommutativity Effects in FRW Scalar Field Cosmology
• Raychaudhuri equation in scalar-tensor theory
• Noncommutative Double Scalar Fields in FRW Cosmology as Cosmical Oscillators
• Disformal mappings of spherical DHOST geometries
• Conformal and kinetic couplings as two Jordan frames of the same theory
• Nonlinearly charged dilatonic black holes and their Brans-Dicke counterpart: Energy dependent spacetime
• Einstein gravity as a gauge theory for the conformal group
• Classical Universe Arising from Quantum Cosmology
• A Cosmological Holographic Reconstruction of f(Q) Theory
• Brans-Dicke analogue of the Roberts geometry