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Gravity waves from inflating brane or Mirrors moving in adS$_5$
High Energy Physics - Theory · Submitted 3 Aug 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Creation of these gravitons is dominated by (zero mode)--(zero mode) Bogoliubov coefficients and, apart from an overall factor, the spectrum of produced gravitons is the same as in four-dimensional theory. ``Kaluza--Klein'' gravitons are also produced, but this effect is subdominant.
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The abstract, sentence by sentence
We study tensor perturbations in a model with inflating Randall--Sundrum-type brane embedded in five-dimensional anti-de Sitter (adS$_5$) bulk. In this model, a natural {\it in}-vacuum of gravitons is the vacuum defined in static adS$_5$ frame. We show that this vacuum is, in fact, the same as the {\it in}-vacuum defined in the frame with de Sitter (dS$_4$) slicing, in which the brane is at rest. Thus, during inflation, gravitons on and off the brane remain in their vacuum state. We then study graviton creation by the brane on which inflation terminates at some moment of time. We mostly consider gravitons whose wavelengths at the end of inflation exceed both the horizon size and the adS$_5$ radius. Creation of these gravitons is dominated by (zero mode)--(zero mode) Bogoliubov coefficients and, apart from an overall factor, the spectrum of produced gravitons is the same as in four-dimensional theory. ``Kaluza--Klein'' gravitons are also produced, but this effect is subdominant. Graviton spectra at somewhat higher momenta are also presented for completeness.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study tensor perturbations in a model with inflating Randall--Sundrum-type brane embedded in five-dimensional anti-de Sitter (adS$_5$) bulk. | contribution 0.88 | 0.81 | 0.03 | asserted 0.76 |
| s1 | In this model, a natural {\it in}-vacuum of gravitons is the vacuum defined in static adS$_5$ frame. | background 0.68 | 0.32 | 0.05 | asserted 0.98 |
| s2 | We show that this vacuum is, in fact, the same as the {\it in}-vacuum defined in the frame with de Sitter (dS$_4$) slicing, in which the brane is at rest. | result 0.98 | 0.92 | 0.16 | asserted 1.00 |
| s3 | Thus, during inflation, gravitons on and off the brane remain in their vacuum state. | result 0.73 | 0.79 | 0.23 | asserted 1.00 |
| s4 | We then study graviton creation by the brane on which inflation terminates at some moment of time. | contribution 1.00 | 0.89 | 0.05 | asserted 0.68 |
| s5 | We mostly consider gravitons whose wavelengths at the end of inflation exceed both the horizon size and the adS$_5$ radius. | method 0.49 | 0.56 | 0.04 | asserted 0.84 |
| s6 | Creation of these gravitons is dominated by (zero mode)--(zero mode) Bogoliubov coefficients and, apart from an overall factor, the spectrum of produced gravitons is the same as in four-dimensional theory. ``Kaluza--Klein'' gravitons are also produced, but this effect is subdominant. | result 1.00 | 0.93 | 0.53 | asserted 1.00 |
| s7 | Graviton spectra at somewhat higher momenta are also presented for completeness. | contribution 0.61 | 0.90 | 0.03 | asserted 0.88 |
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Original abstract
We study tensor perturbations in a model with inflating Randall--Sundrum-type brane embedded in five-dimensional anti-de Sitter (adS$_5$) bulk. In this model, a natural {\it in}-vacuum of gravitons is the vacuum defined in static adS$_5$ frame. We show that this vacuum is, in fact, the same as the {\it in}-vacuum defined in the frame with de Sitter (dS$_4$) slicing, in which the brane is at rest. Thus, during inflation, gravitons on and off the brane remain in their vacuum state. We then study graviton creation by the brane on which inflation terminates at some moment of time. We mostly consider gravitons whose wavelengths at the end of inflation exceed both the horizon size and the adS$_5$ radius. Creation of these gravitons is dominated by (zero mode)--(zero mode) Bogoliubov coefficients and, apart from an overall factor, the spectrum of produced gravitons is the same as in four-dimensional theory. ``Kaluza--Klein'' gravitons are also produced, but this effect is subdominant. Graviton spectra at somewhat higher momenta are also presented for completeness.
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References
How the literature uses it
4 arXiv papers cite this in 7 sentences
Papers citing it · 4 sentences without a confident label
Uses its method or tool 1 paper
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We follow the method developed in Refs. [ref] to relate the amplitude of the growing mode solution to the creation and annihilation operators, which is summarized here.
Brane-world inflation: slow-roll corrections to the spectral index · Summary of Wronskian method · 0.89
Cites it as support 1 paper
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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 1 paper
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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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