Warped compactification to de Sitter space

Ishwaree P. Neupane

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Warped compactification to de Sitter space

Ishwaree P. Neupane

High Energy Physics - Theory · Submitted 23 Nov 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim For the first time in the literature we show that there may exist a large class of warped supergravity models with a noncompact extra dimension which lead to a finite 4D Newton constant as well as a massless 4D graviton localised on an inflating four-dimensional FLRW universe.

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What the abstract itself states, as probabilities: claims first 0.92 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.88 · mentions code or data availability 0.02.

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We explore in detail the prospects of obtaining a four-dimensional de Sitter universe in classical supergravity models with warped and time-independent extra dimensions, presenting explicit cosmological solutions of the $(4+n)$-dimensional Einstein equations with and without a bulk cosmological constant term. For the first time in the literature we show that there may exist a large class of warped supergravity models with a noncompact extra dimension which lead to a finite 4D Newton constant as well as a massless 4D graviton localised on an inflating four-dimensional FLRW universe. This result helps establish that the `no-go' theorem forbidding acceleration in `standard' compactification of string/M-theory on physically compact spaces should not apply to a general class of warped supergravity models that allows at least one noncompact direction. We present solutions for which the size of the radial dimension takes a constant value in the large volume limit, providing an explicit example of spontaneous compactification.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We explore in detail the prospects of obtaining a four-dimensional de Sitter universe in classical supergravity models with warped and time-independent extra dimensions, presenting explicit cosmological solutions of the $(4+n)$-dimensional Einstein equations with and without a bulk cosmological constant term.	contribution 0.98	0.94	0.16	asserted 0.65
s1	For the first time in the literature we show that there may exist a large class of warped supergravity models with a noncompact extra dimension which lead to a finite 4D Newton constant as well as a massless 4D graviton localised on an inflating four-dimensional FLRW universe.	result 0.65	0.94	0.59	hedged possibility 0.89
s2	This result helps establish that the `no-go' theorem forbidding acceleration in `standard' compactification of string/M-theory on physically compact spaces should not apply to a general class of warped supergravity models that allows at least one noncompact direction.	interpretation 1.00	0.35	0.56	hedged possibility 0.53
s3	We present solutions for which the size of the radial dimension takes a constant value in the large volume limit, providing an explicit example of spontaneous compactification.	result 0.92	0.95	0.09	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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The paper

Original abstract

We explore in detail the prospects of obtaining a four-dimensional de Sitter universe in classical supergravity models with warped and time-independent extra dimensions, presenting explicit cosmological solutions of the $(4+n)$-dimensional Einstein equations with and without a bulk cosmological constant term. For the first time in the literature we show that there may exist a large class of warped supergravity models with a noncompact extra dimension which lead to a finite 4D Newton constant as well as a massless 4D graviton localised on an inflating four-dimensional FLRW universe. This result helps establish that the `no-go' theorem forbidding acceleration in `standard' compactification of string/M-theory on physically compact spaces should not apply to a general class of warped supergravity models that allows at least one noncompact direction. We present solutions for which the size of the radial dimension takes a constant value in the large volume limit, providing an explicit example of spontaneous compactification.

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7 arXiv papers cite this in 33 sentences

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Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

Here, we show that the above conclusion does not extend to a general class of warped compactifications in classical supergravity that allow a non-compact direction or cosmological solutions for which the internal space is asymptotic to a cone over a product of compact Einstein spaces or spheres.

Warped compactification on curved manifolds · 0.80

Papers citing it · 20 sentences without a confident label

Contests it 1 paper

The equation [ref] for $D=7$ and $L=0$ disagrees with Eq. (3.4) of Ref. [ref] .

Spectrum from the warped compactifications with the de Sitter universe · The $D(>6)$-dimensional models · contest 0.82

Builds on it 2 papers

In the first part of the paper, we will focus on the derivation of the new warped de Sitter solutions obtained as the generalization of Ref. [ref] .

Warped de Sitter compactifications · Introduction · 1.00
The solution discussed in [ref] is given by the metric Eq. ([ref]) with A(y)=(cosh[M(|y|+a)]/cosh(Ma))^-1, G(y)= (D-2) M^2 sinh^2 [M(|y|+a)]/3cosh^2[M(|y|+a)] +2|Λ_D|/(D-1)H^2cosh^2(Ma).

Spectrum from the warped compactifications with the de Sitter universe · The $D(>6)$-dimensional models · 0.95

Uses its method or tool 1 paper

In this paper, the derivation of the solutions completely follows the method developed in the previous works devoted to finding the solutions of the warped de Sitter compactifications [ref] .

Warped spherical compactifications in the gravity theory · Warped de Sitter solutions · 1.00

Compares with it 2 papers

In order to see the difference from the analysis Ref. [ref] , it is better to write down the bulk equation Eq. ([ref]) in terms of the original $y$ coordinate H^2 /G^1/2A^D-2 d/dy(A^D-2/ G^1/2 d/dyf_m ) =-(m^2-3H^2 L (L+D-6)/D-6) f_m.

Spectrum from the warped compactifications with the de Sitter universe · The $D(>6)$-dimensional models · 0.84
We also showed that both the original model found in [ref] and our model suffer an instability against the scalar perturbations, associated with the decompactification in the $y$ direction, although in our model the internal space $$ can be fixed by the field strength.

Warped de Sitter compactifications · Brane world models · 0.90

Cites it as background 2 papers

In Sec. II, we review warped compactification solutions with the de Sitter universe discussed in [ref] .

Spectrum from the warped compactifications with the de Sitter universe · Introduction · 0.98
We refer to [ref] for further discussions on localization of gravity.

De Sitter brane-world, localization of gravity, and the cosmological constant · Example 2 · 0.98

What it cites · 19 sentences without a confident label

Compares with 4 papers

The solution valid for $-π≤y≤π$ then implies that [equation] where [equation] From the $μν$-components of the 5D Einstein equations we get [equation] By comparing Eqs. ([ref]) and ([ref]), we get [equation] where [equation] The solution found in [ref] corresponds to the choice $λ=-1$ (so that $Λ5<0$), while that in [ref] corresponds to $λ=1$.

Radion on the de Sitter brane · The effect of brane action · 0.92
The solution valid for $-π≤y≤π$ then implies that [equation] where [equation] From the $μν$-components of the 5D Einstein equations we get [equation] By comparing Eqs. ([ref]) and ([ref]), we get [equation] where [equation] The solution found in [ref] corresponds to the choice $λ=-1$ (so that $Λ5<0$), while that in [ref] corresponds to $λ=1$.

Localization of gravity on a de Sitter thick braneworld without scalar fields · The effect of brane action · 0.92
Hence [equation] The result reported in [ref] is obtained by taking $n=6$, and setting $M=1$.

Warped compactification on curved manifolds · Generalization to $D$-dimensions · 0.85

Cites as background 8 papers

In [ref] , Gibbons and Hull explored the possibility of constructing a model of de Sitter universe within a context of 10- and 11-dimensional supergravity, by allowing a noncompact extra dimension.

De Sitter Space from Warped Supergravity Solutions · Generalization to $D$-dimensions · 0.81
A detailed discussion on localization of gravity in five dimensions appears elsewhere [ref] .

De Sitter brane-world, localization of gravity, and the cosmological constant · The effect of brane action · 0.97
This idea has inspired many theoretical physicists to explore and investigate models of de Sitter cosmology in the context of string/M-theory as well as in simplest braneworld models [ref] .

Quantum fluctuations on a thick de Sitter brane · Introduction · 0.81

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