Hyperbolic space cosmologies

@article{Chen2003HyperbolicSC,
  title={Hyperbolic space cosmologies},
  author={Chiang-Mei Chen and P. M. Ho and Ishwaree P. Neupane and Nobuyoshi Ohta and John E. Wang},
  journal={Journal of High Energy Physics},
  year={2003},
  volume={2003},
  pages={058-058}
}
We present a systematic study of accelerating cosmologies obtained from M/string theory compactifications of hyperbolic spaces with time-varying volume. A set of vacuum solutions where the internal space is a product of hyperbolic manifolds is found to give qualitatively the same accelerating four-dimensional FLRW universe behavior as a single hyperbolic space. We also examine the possibility that our universe is a hyperbolic space and provide exact Milne type solutions, as well as intersecting… 
View PDF on arXiv
116 Citations
Highly Influential Citations
2
Background Citations
21
Methods Citations
3

Figures from this paper

116 Citations

Citation Type

Citation Type

Accelerating cosmologies from exponential potentials
An exponential potential of the form V ~ exp(−2c/Mp) arising from the hyperbolic or flux compactification of higher-dimensional theories is of interest for getting short periods of accelerated…
Accelerating cosmologies from compactification with a twist
A no-go theorem for accelerating cosmologies from M-theory compactifications
Remarks on Tachyon Driven Cosmology
We begin by reviewing the results on the decay of unstable D-branes in type II string theory, and the open–closed string duality proposal that arises from these studies. We then apply this proposal…
Phase space analysis of quintessence cosmologies with a double exponential potential
We use phase space methods to investigate closed, flat, and open Friedmann–Robertson–Walker cosmologies with a scalar potential given by the sum of two exponential terms. The form of the potential is…
Warped compactification to de Sitter space
Space-like branes, accelerating cosmologies and the near `horizon' limit
It is known that there exist two different classes of time dependent solutions in the form of space-like (or S)-branes in the low energy M/string theory. Accelerating cosmologies are known to arise…
Mirage resolution of cosmological singularities
We study time-dependent backgrounds in the low energy regimes of string theories. In particular the emphasis is on the general study of exotic phenomena such as positive acceleration and…
Integrable Cosmological Models From Higher Dimensional Einstein Equations
We consider the cosmological models for the higher dimensional space-time which includes the curvatures of our space as well as the curvatures of the internal space. We find that the condition for…
Living Near de Sitter Bubble Walls
We study various bubble solutions in string/M theories obtained by double Wick rotations of (non-)extremal brane configurations. Typically, the geometry interpolates de Sitter space-time times…
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 33 REFERENCES
Accelerating cosmologies from M/String theory compactifications
Accelerating cosmologies from compactification.
A solution of the (4+n)-dimensional vacuum Einstein equations is found for which spacetime is compactified on an n-dimensional compact hyperbolic manifold (n> or =2) of time-varying volume to a flat…
Accelerating cosmologies and a phase transition in M-theory
A note on accelerating cosmologies from compactifications and S-branes
We give a simple interpretation of the recent solutions for cosmologies with a transient accelerating phase obtained from compactification in hyperbolic manifolds, or from S-brane solutions of…
Cosmological solutions in string theories
We obtain a large class of cosmological solutions in the toroidally compactified low-energy limits of string theories in D dimensions. We consider solutions where a p-dimensional subset of the…
Compact hyperbolic extra dimensions: branes, kaluza-klein modes, and cosmology
TLDR
It is shown that the spectrum of Kaluza-Klein modes is radically altered, which allows the early Universe to evolve normally up to substantial temperatures, and completely negates the astrophysical constraints on M(*.
Supergravity description of field theories on curved manifolds and a no go theorem
In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on…
Cosmological spacetimes from negative tension brane backgrounds
We identify a time-dependent class of metrics with potential applications to cosmology, which emerge from negative-tension branes. The cosmology is based on a gen- eral class of solutions to…
General brane geometries from scalar potentials: gauged supergravities and accelerating universes
We find broad classes of solutions to the field equations for d-dimensional gravity coupled to an antisymmetric tensor of arbitrary rank and a scalar field with non-vanishing potential. For an…
Accelerating cosmologies from spacelike branes.
  • N. Ohta
  • Physics
    Physical review letters
  • 2003
We point out that the recently proposed model of a flat four-dimensional universe with accelerated expansion in string or M theory is a special case of time-dependent solutions that the author found…
...
1
2
3
4
...