Late Time Acceleration of the 3-Space in a Higher Dimensional Steady State Universe in Dilaton Gravity

Abstract

We present cosmological solutions for (1+3+n)-dimensional steady state universe in dilaton gravity with an arbitrary dilaton coupling constant w and exponential dilaton self-interaction potentials in the string frame. We focus particularly on the class in which the 3-space expands with a time varying deceleration parameter. We discuss the number of the internal dimensions and the value of the dilaton coupling constant to determine the cases that are consistent with the observed universe and the primordial nucleosynthesis. The 3-space starts with a decelerated expansion rate and evolves into accelerated expansion phase subject to the values of w and n, but ends with a Big Rip in all cases. We discuss the cosmological evolution in further detail for the cases w=1 and w=1/2 that permit exact solutions. We also comment on how the universe would be conceived by an observer in four dimensions who is unaware of the internal dimensions and thinks that the conventional general relativity is valid at cosmological scales.

30 pages, 19 figures, 3 tables; improved significantly; the version accepted for publication in Journal of Cosmology and Astroparticle Physics (JCAP)

References in corpus (18)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Reconstructing Dark Energy
• Inflationary Cosmology
• Light Sterile Neutrinos: A White Paper
• A kinematical approach to dark energy studies
• Kinematic Constraints to the Transition Redshift from SNe Ia Union Data
• Crossing the Phantom Divide
• Probing for dynamics of dark energy and curvature of universe with latest cosmological observations
• Cosmographic Hubble fits to the supernova data
• Constraining The Early-Universe Baryon Density And Expansion Rate
• Consistency among distance measurements: transparency, BAO scale and accelerated expansion
• Reconstruction of the Dark Energy equation of state
• Recurrent Acceleration in Dilaton-Axion Cosmology
• Are Galaxy Clusters Suggesting an Accelerating Universe?
• The Dynamical Evolution of 3-Space in a Higher Dimensional Steady State Universe

Cited by in corpus (5)

• Relaxing cosmological tensions with a sign switching cosmological constant
• A divergence-free parametrization for dynamical dark energy
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe
• General solution of a cosmological model induced from higher dimensions using a kinematical constraint
• Role of internal space correlations in the dynamics of a higher-dimensional Bianchi type-I universe: shear scalar and Hubble parameter perspectives