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Large-scale cosmological perturbations on the brane
High Energy Physics - Theory · Submitted 6 Dec 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In brane-world cosmologies of Randall-Sundrum type, we show that evolution of large-scale curvature perturbations may be determined on the brane, without solving the bulk perturbation equations.
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The abstract, sentence by sentence
In brane-world cosmologies of Randall-Sundrum type, we show that evolution of large-scale curvature perturbations may be determined on the brane, without solving the bulk perturbation equations. The influence of the bulk gravitational field on the brane is felt through a projected Weyl tensor which behaves effectively like an imperfect radiation fluid with anisotropic stress. We define curvature perturbations on uniform density surfaces for both the matter and Weyl fluids, and show that their evolution on large scales follows directly from the energy conservation equations for each fluid. The total curvature perturbation is not necessarily constant for adiabatic matter perturbations, but can change due to the Weyl entropy perturbation. To relate this curvature perturbation to the longitudinal gauge metric potentials requires knowledge of the Weyl anisotropic stress which is not determined by the equations on the brane. We discuss the implications for large-angle anisotropies on the cosmic microwave background sky.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In brane-world cosmologies of Randall-Sundrum type, we show that evolution of large-scale curvature perturbations may be determined on the brane, without solving the bulk perturbation equations. | contribution 0.84 | 0.93 | 0.79 | hedged possibility 0.78 |
| s1 | The influence of the bulk gravitational field on the brane is felt through a projected Weyl tensor which behaves effectively like an imperfect radiation fluid with anisotropic stress. | result 0.49 | 0.50 | 0.10 | asserted 0.99 |
| s2 | We define curvature perturbations on uniform density surfaces for both the matter and Weyl fluids, and show that their evolution on large scales follows directly from the energy conservation equations for each fluid. | contribution 0.42 | 0.94 | 0.23 | asserted 1.00 |
| s3 | The total curvature perturbation is not necessarily constant for adiabatic matter perturbations, but can change due to the Weyl entropy perturbation. | result 0.99 | 0.86 | 0.18 | asserted 0.63 |
| s4 | To relate this curvature perturbation to the longitudinal gauge metric potentials requires knowledge of the Weyl anisotropic stress which is not determined by the equations on the brane. | limitation 0.99 | 0.47 | 0.09 | asserted 0.98 |
| s5 | We discuss the implications for large-angle anisotropies on the cosmic microwave background sky. | interpretation 0.97 | 0.46 | 0.04 | unclear 0.97 |
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Original abstract
In brane-world cosmologies of Randall-Sundrum type, we show that evolution of large-scale curvature perturbations may be determined on the brane, without solving the bulk perturbation equations. The influence of the bulk gravitational field on the brane is felt through a projected Weyl tensor which behaves effectively like an imperfect radiation fluid with anisotropic stress. We define curvature perturbations on uniform density surfaces for both the matter and Weyl fluids, and show that their evolution on large scales follows directly from the energy conservation equations for each fluid. The total curvature perturbation is not necessarily constant for adiabatic matter perturbations, but can change due to the Weyl entropy perturbation. To relate this curvature perturbation to the longitudinal gauge metric potentials requires knowledge of the Weyl anisotropic stress which is not determined by the equations on the brane. We discuss the implications for large-angle anisotropies on the cosmic microwave background sky.
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References
How the literature uses it
8 arXiv papers cite this in 18 sentences
Papers citing it · 16 sentences without a confident label
Cites it as background 2 papers
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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] .
Warped compactification to de Sitter space · Introduction · 0.81
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The theory of gauge-invariant perturbations in brane-world cosmology has been extensively investigated and developed [ref] and is qualitatively well understood.
Brane-World Gravity · Brane-World Cosmology: Perturbations · 0.91
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