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Cosmological Expansion in the Presence of an Extra Dimension
High Energy Physics - Phenomenology · Submitted 28 Jun 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our observation allows for normal expansion during nucleosynthesis, but faster than normal expansion in the very early universe, which could be helpful for electroweak baryogenesis, for example.
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The abstract, sentence by sentence
It has recently been pointed out that global solutions of Einstein's equations for a 3-brane universe embedded in 4 spatial dimensions give rise to a Friedmann equation of the form H ~ rho on the brane, instead of the usual H ~ (rho)^{1/2}, which is inconsistent with cosmological observations. We remedy this problem by adding cosmological constants to the brane and the bulk, as in the recent scenario of Randall and Sundrum. Our observation allows for normal expansion during nucleosynthesis, but faster than normal expansion in the very early universe, which could be helpful for electroweak baryogenesis, for example.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It has recently been pointed out that global solutions of Einstein's equations for a 3-brane universe embedded in 4 spatial dimensions give rise to a Friedmann equation of the form H ~ rho on the brane, instead of the usual H ~ (rho)^{1/2}, which is inconsistent with cosmological observations. | background 0.98 | 0.04 | 0.10 | asserted 0.99 |
| s1 | We remedy this problem by adding cosmological constants to the brane and the bulk, as in the recent scenario of Randall and Sundrum. | method 0.57 | 0.79 | 0.10 | asserted 0.99 |
| s2 | Our observation allows for normal expansion during nucleosynthesis, but faster than normal expansion in the very early universe, which could be helpful for electroweak baryogenesis, for example. | interpretation 0.72 | 0.81 | 0.54 | hedged possibility 0.89 |
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The paper
Original abstract
It has recently been pointed out that global solutions of Einstein's equations for a 3-brane universe embedded in 4 spatial dimensions give rise to a Friedmann equation of the form H ~ rho on the brane, instead of the usual H ~ (rho)^{1/2}, which is inconsistent with cosmological observations. We remedy this problem by adding cosmological constants to the brane and the bulk, as in the recent scenario of Randall and Sundrum. Our observation allows for normal expansion during nucleosynthesis, but faster than normal expansion in the very early universe, which could be helpful for electroweak baryogenesis, for example.
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References
How the literature uses it
40 arXiv papers cite this in 47 sentences
Papers citing it · 22 sentences without a confident label
Contests it 1 paper
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This criticism applied equally to the warped models of [ref] .
Braneworld Cosmology · Warped extra dimensions · contest 0.82
Uses its data or values 2 papers
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The five-dimensional Planck mass is also constrained by the BBN, which is roughly estimated as $M_5 ≥10 TeV$ [ref] .
Dark matter in supersymmetric models with axino LSP in Randall-Sundrum II brane model · The brane model · 0.86
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In particular, for a Randall–Sundrum brane $θ=1$ [ref] , while for a brane in Gauss–Bonnet gravity $θ=-1$ [ref] .
Route to nonlocal cosmology · Setup · 0.80
Compares with it 2 papers
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This relation for the Hubble constant is in spirit similar to the standard result [ref] [ref] that the expression for the square of the Hubble constant in Randall-Sundrum type models [ref] contains a term quadratic in the brane energy density.
De Sitter and Minkowski Solutions in 4+1 Brane-World Models · The Model · 0.98
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Further differences include the fact that we do not introduce an ultraviolet cut-off in the gauge theory or branes in the bulk [ref] but work directly with dynamical gravity at the boundary;
Holographic Evolution with Dynamical Boundary Gravity · Introduction · 0.95
Cites it as support 1 paper
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However, this problem can be avoided if our universe is confined on the positive tension brane [ref] .
Gravity localization and mass hierarchy in scalar-tensor branes · I. Introduction · 0.98
Cites it as background 19 papers
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Before the realization that such pathological behavior was linked to the failure to stabilize the extra dimension, it was discovered that in the Randall-Sundrum (RS) model [ref] with a warped extra dimension due to a negative bulk cosmological constant, the Friedmann equation took a more interesting form, [equation] where $T$ is the brane tension [ref] .
Modified Friedmann Equation and Inflation in Warped Codimension-two Braneworld · Introduction · 0.85
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If our four-dimensional world is a 3-brane embedded in a higher-dimensional bulk, the Friedmann equation becomes [ref] [equation] where $Λ$ provides a relation between the four-dimensional Planck scale $M_4=√(8 π)M_P$ and five-dimensional Planck scale $M_5$ via [equation] Here we consider $M_5$ as a free parameter that can be considerably smaller than $M_4$.
D-term inflation in braneworld models: Consistency with cosmic-string bounds and early-time Hubble tension resolving models · D-term Inflation on the brane · 0.88
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In a large class of these models a Friedman-Robertson-Walker universe arises by the evolution of a three-dimensional brane in an AdS or in an AdS black-hole spacetime [ref] .
Universe Acceleration in Brane World Models · Introduction · 0.93
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