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Title: Oxidised cosmic acceleration

Abstract

We give detailed proofs of several new no-go theorems for constructing flat four-dimensional accelerating universes from warped dimensional reduction. These new theorems improve upon previous ones by weakening the energy conditions, by including time-dependent compactifications, and by treating accelerated expansion that is not precisely de Sitter. We show that de Sitter expansion violates the higher-dimensional null energy condition (NEC) if the compactification manifold M is one-dimensional, if its intrinsic Ricci scalar R-ring vanishes everywhere, or if R-ring and the warp function satisfy a simple limit condition. If expansion is not de Sitter, we establish threshold equation-of-state parameters w below which accelerated expansion must be transient. Below the threshold w there are bounds on the number of e-foldings of expansion. If M is one-dimensional or R-ring everywhere vanishing, exceeding the bound implies the NEC is violated. If R-ring does not vanish everywhere on M, exceeding the bound implies the strong energy condition (SEC) is violated. Observationally, the w thresholds indicate that experiments with finite resolution in w can cleanly discriminate between different models which satisfy or violate the relevant energy conditions.

Authors:
 [1]
  1. Centre for Theoretical Cosmology, DAMTP, Cambridge University, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)
Publication Date:
OSTI Identifier:
22156879
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2009; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCELERATION; DE SITTER SPACE; EQUATIONS OF STATE; EXPANSION; FOUR-DIMENSIONAL CALCULATIONS; RESOLUTION; SCALARS; TIME DEPENDENCE; UNIVERSE

Citation Formats

Wesley, Daniel H., E-mail: D.H.Wesley@damtp.cam.ac.uk. Oxidised cosmic acceleration. United States: N. p., 2009. Web. doi:10.1088/1475-7516/2009/01/041.
Wesley, Daniel H., E-mail: D.H.Wesley@damtp.cam.ac.uk. Oxidised cosmic acceleration. United States. https://doi.org/10.1088/1475-7516/2009/01/041
Wesley, Daniel H., E-mail: D.H.Wesley@damtp.cam.ac.uk. 2009. "Oxidised cosmic acceleration". United States. https://doi.org/10.1088/1475-7516/2009/01/041.
@article{osti_22156879,
title = {Oxidised cosmic acceleration},
author = {Wesley, Daniel H., E-mail: D.H.Wesley@damtp.cam.ac.uk},
abstractNote = {We give detailed proofs of several new no-go theorems for constructing flat four-dimensional accelerating universes from warped dimensional reduction. These new theorems improve upon previous ones by weakening the energy conditions, by including time-dependent compactifications, and by treating accelerated expansion that is not precisely de Sitter. We show that de Sitter expansion violates the higher-dimensional null energy condition (NEC) if the compactification manifold M is one-dimensional, if its intrinsic Ricci scalar R-ring vanishes everywhere, or if R-ring and the warp function satisfy a simple limit condition. If expansion is not de Sitter, we establish threshold equation-of-state parameters w below which accelerated expansion must be transient. Below the threshold w there are bounds on the number of e-foldings of expansion. If M is one-dimensional or R-ring everywhere vanishing, exceeding the bound implies the NEC is violated. If R-ring does not vanish everywhere on M, exceeding the bound implies the strong energy condition (SEC) is violated. Observationally, the w thresholds indicate that experiments with finite resolution in w can cleanly discriminate between different models which satisfy or violate the relevant energy conditions.},
doi = {10.1088/1475-7516/2009/01/041},
url = {https://www.osti.gov/biblio/22156879}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 01,
volume = 2009,
place = {United States},
year = {Thu Jan 15 00:00:00 EST 2009},
month = {Thu Jan 15 00:00:00 EST 2009}
}