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Graviton localization and Newton law for a dS_4 brane in 5D bulk
High Energy Physics - Theory · Submitted 1 May 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We estimate the massive sector contribution to the static potential at short distances and find that only in the case of a negative bulk cosmological constant there is a range, determined by the effective four-dimensional and the bulk cosmological constants, where the conventional Newton law is valid.
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The abstract, sentence by sentence
We consider an dS_4 brane embedded in a five-dimensional bulk with a positive, vanishing or negative bulk cosmological constant and derive the localized graviton spectrum that consists of a normalizable zero-mode separated by a gap from a continuum of massive states. We estimate the massive sector contribution to the static potential at short distances and find that only in the case of a negative bulk cosmological constant there is a range, determined by the effective four-dimensional and the bulk cosmological constants, where the conventional Newton law is valid.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider an dS_4 brane embedded in a five-dimensional bulk with a positive, vanishing or negative bulk cosmological constant and derive the localized graviton spectrum that consists of a normalizable zero-mode separated by a gap from a continuum of massive states. | result 0.52 | 0.96 | 0.28 | asserted 1.00 |
| s1 | We estimate the massive sector contribution to the static potential at short distances and find that only in the case of a negative bulk cosmological constant there is a range, determined by the effective four-dimensional and the bulk cosmological constants, where the conventional Newton law is valid. | result 0.99 | 0.95 | 0.58 | asserted 1.00 |
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The paper
Original abstract
We consider an dS_4 brane embedded in a five-dimensional bulk with a positive, vanishing or negative bulk cosmological constant and derive the localized graviton spectrum that consists of a normalizable zero-mode separated by a gap from a continuum of massive states. We estimate the massive sector contribution to the static potential at short distances and find that only in the case of a negative bulk cosmological constant there is a range, determined by the effective four-dimensional and the bulk cosmological constants, where the conventional Newton law is valid.
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How the literature uses it
2 arXiv papers cite this in 12 sentences
Papers citing it · 5 sentences without a confident label
Compares with it 1 paper
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In [ref] a concern was raised, especially, in the dS$_5$ case, that the correction to the gravitational potential due to the massive KK states may dominate for $r < H^-1< ℓ$, leading to a 5 dimensional behavior which is not Newtonian.
De Sitter brane-world, localization of gravity, and the cosmological constant · Correction to Newton's law · 0.90
Cites it as background 2 papers
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Certain aspects of linearized gravity in a dS$_5$ bulk spacetime were also discussed in these papers, mainly, the limits between which the value of the bulk cosmological constant has to lie in order to localize the graviton on a de Sitter 3-brane [ref] and the correction to the static potential at short distances due to the massive KK modes living in a 5D bulk spacetime [ref] .
De Sitter brane-world, localization of gravity, and the cosmological constant · Introduction · 0.84
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In both cases, it is possible to consider de-Sitter (dS) scenarios with metrics similar to the Friedmann-Robertson-Walker solution [ref] , where the dS brane, unlike the static cases, could be the boundary between two flat spaces or, in more general cases, with positive curvatures.
Newtonian gravity and resonance on de-Sitter branes · Introduction · 0.86
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