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New solutions with accelerated expansion in string theory
Abstract
We present concrete solutions with accelerated expansion in string theory, requiring a small, tractable list of stress energy sources. We explain how this construction (and others in progress) evades previous no go theorems for simple accelerating solutions. Our solutions respect an approximate scaling symmetry and realize discrete sequences of values for the equation of state, including one with an accumulation point at w = −1 and another accumulating near w = −1/3 from below. In another class of models, a density of defects generates scaling solutions with accelerated expansion. We briefly discuss potential applications to dark energy phenomenology, and to holography for cosmology.
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“One general result in compactifications with C ≥ 0 is that in a region where the Casimir contribution is negligible, the solution of the warp and conformal factor equations of motion implies a net negative value pointwise of the potential energy density appearing in the formula for V e f f [42], -R (7) -3 ∇u u 2 = 4ℓ 9 11 |ρ C | - C u - 5 2 F 2 7 .”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [42]
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“In this region, positive curvature develops -as we saw above in (4.12), when Casimir energy is negligible the equations of motion imply -R (7) -3 ∇u u 2 < 0 pointwise [42].”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [42]
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McAllister, L., Silverstein, E., Westphal, A., & Wrase, T. (2014) · Journal of High Energy Physics · doi:10.1007/jhep09(2014)123 · Cited by 194
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Self-citation
Metadata
- Authors
- Dodelson, M., Dong, X., Silverstein, E., & Torroba, G.
- Venue
- Journal of High Energy Physics
- Published
- 2014-12
- Volume
- 2014
- Issue
- 12
- ISSN
- 1029-8479
- Cited by
- 20
- References
- 96
- Language
- en
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