Cosmological volume acceleration in dust epoch: using scaling solutions and variable cosmological term $\Lambda (t)$ within an anisotropic cosmological model

Abstract

Under the premise that the current observations of the cosmic microwave background radiation set a very stringent limit to the anisotropy of the universe, we consider an anistropic model in the presence of a barotropic perfect fluid and a homogeneous scalar field, which transits to a flat FRW cosmology for late times in a dust epoch, presenting an accelerated volume expansion. Furtheremore, the scalar field is identified with a varying cosmological term via $V(\varphi (t))=2\Lambda (t)$. Exact solutions to the EKG system are obtained by proposing an anisotropic extension of the scaling solutions scenario: $\rho \sim {\eta }^{-\mathrm{n}},{\rho }_{\varphi }\sim {\eta }^{-\mathrm{m}}$, with ${\eta }^3={\mathrm{a}}_1{\mathrm{a}}_2{\mathrm{a}}_3$ the volume function of the anistropic model (${\mathrm{a}}_1,{\mathrm{a}}_2,{\mathrm{a}}_3$ being the scale factors).

arXiv comment12 pages, two figures, Mayor changes in abstract, introduction and title, and we add 11 references. To publish in Astrophysics Space Science Journal

References in corpus (43)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• Cosmology and the Fate of Dilatation Symmetry
• Exponential potentials and cosmological scaling solutions
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Cosmology with a Primordial Scaling Field
• A classification of scalar field potentials with cosmological scaling solutions
• Structure formation with a self-tuning scalar field
• Evolution of the Scale Factor with a Variable Cosmological Term
• How to determine an effective potential for a variable cosmological term
• Effective equation of state for dark energy: mimicking quintessence and phantom energy through a variable Lambda
• Decaying Vacuum Energy and Deflationary Cosmology in Open and Closed Universes
• A study of the angular size-redshift relation for models in which $\Lambda$ decays as the energy density
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Anisotropic cosmological models with a perfect fluid and a $\Lambda$ term
• Dynamical dark energy or variable cosmological parameters?
• Bianchi Type-I Anisotropic Dark Energy Models with Constant Deceleration Parameter
• Dynamics of interacting quintessence
• Study of the Magnitude-Redshift Relation for type Ia Supernovae in a Model resulting from a Ricci-Symmetry
• Cosmic Acceleration With A Positive Cosmological Constant
• Some Bianchi Type I Viscous Fluid Cosmological Models with a Variable Cosmological Constant
• Decaying Lambda cosmology, varying G and holography
• Cosmological properties of a class of $\Lambda$ decaying cosmologies
• Nucleosynthesis bounds on a time-varying cosmological 'constant'
• The Existence of an Old Quasar at $z=3.91$ and its Implications for $\Lambda (t)$ Deflationary Cosmologies
• Bianchi Type I Anisotropic Magnetized Cosmological Models with Varying $\Lambda$
• Current Constraints on Anisotropic and Isotropic Dark Energy Models
• FRW Cosmology with Variable G and Lambda
• Plane-Symmetric Inhomogeneous Bulk Viscous Cosmological Models with Variable $\Lambda$
• Bianchi Type-I Cosmological Models with Variable G and 4Λ$-Terms in General Relativity
• Probing Dark Energy in The scope of Bianchi type I Spacetime
• Evolution of the Bianchi I, the Bianchi III and the Kantowski-Sachs Universe: Isotropization and Inflation
• Two Fluid Scenario in Bianchi Type-I Universe
• Phenomenology of $\Lambda$-CDM model: a possibility of accelerating Universe with positive pressure
• Bianchi type-I transit cosmological models with time dependent gravitational and cosmological constants - reexamined
• Variable cosmological term $\Lambda (t)$
• Spherically symmetric ADM gravity with variable G and Lambda(c)
• The Equivalence between Different Dark (Matter) Energy Scenarios
• Time variable $\Lambda$ and the accelerating Universe
• Quantum Evolution of the Bianchi Type I Model
• Bianchi I with variable $G$ and $\Lambda$. Self-Similar approach
• Anisotropic Cosmological Model with Variable G and Lambda

Cited by in corpus (2)

• Classical and quantum exact solutions for a FRW in chiral like cosmology
• Anisotropic chiral cosmology: exact solutions