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Warped brane-world compactification with Gauss-Bonnet term
High Energy Physics - Theory · Submitted 24 Dec 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Moreover, a non-trivial GB coupling can allow a new branch of solutions with finite Planck scale and no naked bulk singularity, which might be useful to avoid some of the previously known ``no--go theorems'' for RS brane-world compactifications.
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In the Randall-Sundrum (RS) brane-world model a singular delta-function source is matched by the second derivative of the warp factor. So one should take possible curvature corrections in the effective action of the RS models in a Gauss-Bonnet (GB) form. We present a linearized treatment of gravity in the RS brane-world with the Gauss-Bonnet modification to Einstein gravity. We give explicit expressions for the Neumann propagator in arbitrary D dimensions and show that a bulk GB term gives, along with a tower of Kaluza-Klein modes in the bulk, a massless graviton on the brane, as in the standard RS model. Moreover, a non-trivial GB coupling can allow a new branch of solutions with finite Planck scale and no naked bulk singularity, which might be useful to avoid some of the previously known ``no--go theorems'' for RS brane-world compactifications.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the Randall-Sundrum (RS) brane-world model a singular delta-function source is matched by the second derivative of the warp factor. | background 1.00 | 0.07 | 0.03 | asserted 1.00 |
| s1 | So one should take possible curvature corrections in the effective action of the RS models in a Gauss-Bonnet (GB) form. | background 0.87 | 0.09 | 0.04 | hedged possibility 0.71 |
| s2 | We present a linearized treatment of gravity in the RS brane-world with the Gauss-Bonnet modification to Einstein gravity. | contribution 0.89 | 0.95 | 0.06 | asserted 0.98 |
| s3 | We give explicit expressions for the Neumann propagator in arbitrary D dimensions and show that a bulk GB term gives, along with a tower of Kaluza-Klein modes in the bulk, a massless graviton on the brane, as in the standard RS model. | result 0.91 | 0.95 | 0.39 | asserted 1.00 |
| s4 | Moreover, a non-trivial GB coupling can allow a new branch of solutions with finite Planck scale and no naked bulk singularity, which might be useful to avoid some of the previously known ``no--go theorems'' for RS brane-world compactifications. | interpretation 0.55 | 0.73 | 0.45 | hedged possibility 0.55 |
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Original abstract
In the Randall-Sundrum (RS) brane-world model a singular delta-function source is matched by the second derivative of the warp factor. So one should take possible curvature corrections in the effective action of the RS models in a Gauss-Bonnet (GB) form. We present a linearized treatment of gravity in the RS brane-world with the Gauss-Bonnet modification to Einstein gravity. We give explicit expressions for the Neumann propagator in arbitrary D dimensions and show that a bulk GB term gives, along with a tower of Kaluza-Klein modes in the bulk, a massless graviton on the brane, as in the standard RS model. Moreover, a non-trivial GB coupling can allow a new branch of solutions with finite Planck scale and no naked bulk singularity, which might be useful to avoid some of the previously known ``no--go theorems'' for RS brane-world compactifications.
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References
How the literature uses it
7 arXiv papers cite this in 7 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 6 papers
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In this work we examine general single-brane models, including a Gauss-Bonnet term in the bulk [ref] (see also [ref] for a Gauss-Bonnet term in conventional 4D cosmology).
Holographic Dark Energy in Braneworld Models with a Gauss-Bonnet Term in the Bulk. Interacting Behavior and the w =-1 Crossing · Introduction · 0.81
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The influence of higher curvature terms in scalar-field-generated thick brane models has been studied in Refs. [ref] .
Study of field fluctuations and their localization in a thick braneworld generated by gravity non-minimally coupled to a scalar field with the Gauss-Bonnet term · Introduction · 0.94
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Higher-dimensional brane world models [ref] , due to the presence of both bulk and brane curvature terms in their actions, have a different gravitational behavior from their general relativistic counterpart [ref] .
Role of Gauss-Bonnet corrections in a DGP brane gravitational collapse · Introduction · 0.98
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