Universe Models with a Variable Cosmological "Constant" and a "Big Bounce"

Abstract

We present a rich class of exact solutions which contains radiation-dominated and matter-dominated models for the early and late universe. They include a variable cosmological ``constant'' which is derived from a higher dimension and manifests itself in spacetime as an energy density for the vacuum. This is in agreement with observational data and is compatible with extensions of general relativity to string and membrane theory. Our solutions are also typified by a non-singular ``big bounce'' (as opposed to a singular big bang), where matter is created as in inflationary cosmology.

17 pages, 2 figures, AASTEX. To appear in ApJ

Cited by in corpus (50)

• Classical confinement of test particles in higher-dimensional models: stability criteria and a new energy condition
• Kaluza-Klein Cosmology With Modified Holographic Dark Energy
• Single field inflationary models with non-compact Kaluza-Klein theory
• Universes encircling 5-dimensional black holes
• Quantum Corrections to the Cosmological Evolution of Conformally Coupled Fields
• Exact Global Solutions of Brane Universes and Big Bounce
• Reinventing spacetime on a dynamical hypersurface
• On Bouncing Brane-Worlds, S-branes and Branonium Cosmology
• Accelerating Universe in a Big Bounce Model
• Five-Dimensional Cosmological Scaling Solution
• Variation of G, ${\Lambda }_{(4)}$ and Vacuum Energy From Brane-World Models
• Induced Phantom and 5D Attractor Solution in Space-Time-Matter Theory
• Kaluza-Klein bulk viscous fluid cosmological models and the validity of the second law of thermodynamics in $f(R,T)$ gravity
• Interacting Tsallis holographic dark energy in higher dimensional Cosmology
• Statefinder Parameters for Different Dark Energy Models with Variable G Correction in Kaluza-Klein Cosmology
• Statefinder Parameters for Five-Dimensional Cosmology
• Cosmological dark fluid from five-dimensional vacuum
• An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion
• Universe Evolution in a 5D Ricci-flat Cosmology
• R\' enyi Holographic Dark Energy in Higher Dimension Cosmology
• Reconstruction of $5D$ Cosmological Models From Equation of State of Dark Energy
• An expanding 4D universe in a 5D Kaluza-Klein cosmology with higher dimensional matter
• Two 3-Branes in Randall-Sundrum Setup and Current Acceleration of the Universe
• On the Big Bounce Singularity of a Simple 5D Cosmological Model
• Interacting Holographic Generalized Chaplygin Gas in compact Kaluza-Klein cosmology
• FLRW Universes from "Wave-Like" Cosmologies in 5D
• Exact Solutions of Five Dimensional Anisotropic Cosmologies
• Black Hole-Wormhole transition in (2+1) Einstein -- anti-de Sitter Gravity Coupled to Nonlinear Electrodynamics
• The Big Bang as a Phase Transition
• Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmology
• Cosmic Acceleration from Varying Masses in Five Dimensions
• Reconstruction of Five-dimensional Bounce cosmological Models From Deceleration Factor
• Dark matter and cosmic acceleration from Wesson's IMT
• Power-law cosmological solution derived from DGP brane with a brane tachyon field
• Pre-big bang collapsing universe from modern Kaluza-Klein theory of gravity
• Correspondence Between $5D$ Ricci-Flat Cosmological Models and Quintessence Dark Energy Models
• Interacting and Non-interacting Reńyi Holographic Dark Energy Models in DGP Braneworld
• Reconstruction of 5D Cosmological Model From Recent Observations
• Time-Dependent Solution for a Star Immersed in a Background Radiation
• Induced Matter Theory of gravity from a Weitzenböck 5D vacuum and pre-big bang collapse of the universe
• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• Correspondence between modified gravity and 5D Ricci-flat cosmologies
• Brane Formation and Cosmological Constraint on the Number of Extra Dimensions
• Space-time singularities and the theory of retracts
• Exact solutions of embedding the 4D Universe in a 5D Einstein manifold
• Dark Energy in Global Brane Universe
• Thermodynamics of Apparent Horizon and Friedmann Equations in Big Bounce Universe
• New asymptotic Anti-de Sitter solution with a timelike extra dimension in 5D relativity
• $5D$ Solutions to $\Lambda$CDM Universe Derived from Global Brane Model
• A new topological perspective of expanding space-times with applications to cosmology