Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources
arXiv:gr-qc/0506132 · doi:10.1063/1.2188210
Abstract
The scalar field degree of freedom in Einstein's plus Matter field equations is decoupled for Bianchi type I and V general cosmological models. The source, apart from the minimally coupled scalar field with arbitrary potential V(Phi), is provided by a perfect fluid obeying a general equation of state p =p(rho). The resulting ODE is, by an appropriate choice of final time gauge affiliated to the scalar field, reduced to 1st order, and then the system is completely integrated for arbitrary choices of the potential and the equation of state.
arXiv commentlatex2e source file,14 pages, no figures; (v3): minor corrections, to appear in J. Math. Phys
References in corpus (30)
- Cosmology and the Fate of Dilatation Symmetry
- Exponential potentials and cosmological scaling solutions
- Cosmology with a Primordial Scaling Field
- Structure formation with a self-tuning scalar field
- Interactions in Scalar Field Cosmology
- Exact solution of scalar field cosmology with exponential potentials and transient acceleration
- The Ermakov-Pinney Equation in Scalar Field Cosmologies
- Accelerating Cosmologies from Exponential Potentials
- Scaling Solutions in Robertson-Walker Spacetimes
- Scalar Field Cosmologies and the Initial Space-Time Singularity
- SCALAR FIELD COSMOLOGIES WITH PERFECT FLUID IN ROBERTSON-WALKER METRIC
- The stability of cosmological scaling solutions
- Generalised Scalar Field Potentials and Inflation
- Exponential-Potential Scalar Field Universes I: The Bianchi I Models
- Exact Hypersurface-Homogeneous Solutions in Cosmology and Astrophysics
- A New Method of Generating Exact Inflationary Solutions
- Cosmic Dynamics of Bose-Einstein Condensates
- Time-Dependent Automorphism Inducing Diffeomorphisms In Vacuum Bianchi Cosmologies And The Complete Closed Form Solutions For Type II & V
- Exact Conformal Scalar Field Cosmologies
- Closed cosmologies with a perfect fluid and a scalar field
- Cosmology with exponential potentials
- Scalar Field Cosmologies with Barotropic Matter: Models of Bianchi class B
- Purely gravito-magnetic vacuum space-times
- Bianchi Cosmological Models and Gauge Symmetries
- Asymptotic behaviour of a class of inhomogeneous scalar field cosmologies
- On the evolution of a large class of inhomogeneous scalar field cosmologies
- Relationship between (2+1) and 3+1)--Friedmann--Robertson--Walker cosmologies
- Qualitative Properties of Magnetic Fields in Scalar Field Cosmology
- Inflation from String/M-Theory Compactification?
- Scalar field cosmology in three-dimensions
Cited by in corpus (15)
- General Analytic Solutions of Scalar Field Cosmology with Arbitrary Potential
- Exact Solutions in Chiral Cosmology
- Energy exchange for homogeneous and isotropic universes with a scalar field coupled to matter
- Szekeres Universes with Homogeneous Scalar Fields
- The dynamical behaviour of homogeneous scalar-field spacetimes with general self-interaction potentials
- From Feshbach-Resonance Managed Bose-Einstein Condensates to Anisotropic Universes: Some Applications of the Ermakov-Pinney equation with Time-Dependent Nonlinearity
- Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
- Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
- Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
- Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lemaître-Robertson-Walker models
- Integrable cosmological models in the Einstein and in the Jordan frames and Bianchi-I cosmology
- Analytic solutions in Einstein-aether scalar field cosmology
- New Anisotropic Exact Solution in Multifield Cosmology
- Bianchi type II,III and V diagonal Einstein metrics re-visited
- Scalar-tensor cosmologies in a minisuperspace formulation: a case study