Late-time Cosmic Acceleration from Compactification

Nov 8, 2018
19 pages
Published in:
  • Class.Quant.Grav. 36 (2019) 9, 095008
  • Published: Apr 8, 2019
e-Print:
Report number:
  • ICCUB-18-020

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Abstract: (IOP)
We investigate the implications of energy conditions on cosmological compactification solutions of the higher-dimensional Einstein field equations. It is known that the strong energy condition forbids time-independent compactifications to de Sitter space but allows time-dependent compactifications to other (homogeneous and isotropic) expanding universes that undergo a transient period of acceleration. Here we show that the same assumptions allow compactification to FLRW universes undergoing late-time accelerated expansion; the late-time stress tensor is a perfect fluid but with a lower bound on the pressure/energy-density ratio that excludes de Sitter but allows accelerated power-law expansion. The compact space undergoes a decelerating expansion that leads to decompactification, but on an arbitrarily long timescale.
Note:
  • 23 pages. New subsections and references added
  • cosmology
  • compactification
  • energy conditions
  • expansion: acceleration
  • space: de Sitter
  • space: compact
  • compactification
  • strong-energy condition
  • higher-dimensional
  • Einstein equation