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Gravitational waves from inflation on the brane
High Energy Physics - Theory · Submitted 1 Jun 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We calculate the amplitude of these fluctuations at horizon-crossing and show that the standard four-dimensional result is recovered at low energies, but the amplitude of the perturbations is enhanced at high energies.
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The abstract, sentence by sentence
We discuss the evolution of gravitational waves in a brane-world cosmology embedded in five-dimensional anti-de Sitter spacetime. We show that during slow-roll inflation, modelled as a period of quasi-de Sitter expansion on the brane, there is a discrete normalizable massless graviton mode. There is a mass gap due to the expansion, above which there is a continuum of massive modes. Only the massless mode is `light' compared with the Hubble scale during inflation, leading to the production of classical perturbations on large scales from vacuum fluctuations on small scales. We calculate the amplitude of these fluctuations at horizon-crossing and show that the standard four-dimensional result is recovered at low energies, but the amplitude of the perturbations is enhanced at high energies.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss the evolution of gravitational waves in a brane-world cosmology embedded in five-dimensional anti-de Sitter spacetime. | contribution 0.57 | 0.48 | 0.04 | asserted 0.63 |
| s1 | We show that during slow-roll inflation, modelled as a period of quasi-de Sitter expansion on the brane, there is a discrete normalizable massless graviton mode. | result 0.96 | 0.93 | 0.28 | asserted 1.00 |
| s2 | There is a mass gap due to the expansion, above which there is a continuum of massive modes. | result 1.00 | 0.76 | 0.13 | asserted 1.00 |
| s3 | Only the massless mode is `light' compared with the Hubble scale during inflation, leading to the production of classical perturbations on large scales from vacuum fluctuations on small scales. | interpretation 0.71 | 0.71 | 0.23 | asserted 1.00 |
| s4 | We calculate the amplitude of these fluctuations at horizon-crossing and show that the standard four-dimensional result is recovered at low energies, but the amplitude of the perturbations is enhanced at high energies. | result 0.98 | 0.96 | 0.50 | asserted 1.00 |
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The paper
Original abstract
We discuss the evolution of gravitational waves in a brane-world cosmology embedded in five-dimensional anti-de Sitter spacetime. We show that during slow-roll inflation, modelled as a period of quasi-de Sitter expansion on the brane, there is a discrete normalizable massless graviton mode. There is a mass gap due to the expansion, above which there is a continuum of massive modes. Only the massless mode is `light' compared with the Hubble scale during inflation, leading to the production of classical perturbations on large scales from vacuum fluctuations on small scales. We calculate the amplitude of these fluctuations at horizon-crossing and show that the standard four-dimensional result is recovered at low energies, but the amplitude of the perturbations is enhanced at high energies.
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References
How the literature uses it
14 arXiv papers cite this in 40 sentences
Papers citing it · 30 sentences without a confident label
Uses its method or tool 1 paper
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Now using the separation of variables [ref] , h_ij(t,k,z)=∫dmψ(z,m)ζ(t,𝐤,m)ê_ij, we can separate the equation of $h_ij$ into two equations, ζ̈_k+3Hζ̇_k+(k^2/a^2+m^2)ζ_k=0, ∂_z^2ψ+3∂_z b/b∂_zψ+m^2ψ=0, where the parameter $m$ is interpreted as the mass of graviton observed in four dimensions.
De Sitter braneworld and gravitational waves · The gravitational waves · 0.96
Compares with it 1 paper
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As a result, the combined effect from both GB and IG curvature modifications, in the relatively high-energy inflationary era, gives rise to a suppression effect on the amplitude of the primordial gravitational waves as compared with the one in the original RS2 model (cf. the pure RS2 model [ref] , the modified RS2 model with only a GB effect [ref] and an IG effect alone [ref] ).
Tensor Perturbations from Brane-World Inflation with Curvature Effects · conclusions · 0.98
Cites it as support 2 papers
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When stretched to superhorizon scales during the inflation era, the heavy modes, with $m^2>9/4 H^2$, continue to oscillate, but their amplitudes are rapidly and strongly suppressed on large scales and remain in their vacuum state, whose contributions can be neglected later on [ref] .
Tensor Perturbations from Brane-World Inflation with Curvature Effects · Tensor perturbations on the brane · 0.96
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The massive KK modes of tensor perturbations remain in the vacuum state during slow-roll inflation [ref] .
Brane-World Gravity · Brane-world inflation · 0.97
Cites it as background 4 papers
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Cosmological perturbations in a quasi–de Sitter inflation have been previously studied in the RS2 model [ref] , and in the generalized RS2 model with just the GB effect [ref] or IG effect alone [ref] .
Tensor Perturbations from Brane-World Inflation with Curvature Effects · introduction · 0.88
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In general, one may wonder whether any extra dimension with a horizon should be regarded as ending at that point [ref] (see also e.g. [ref] ).
Extra Dimensions Beyond the Horizon · Introduction · 0.86
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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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