Coupled bulk and brane fields about a de Sitter brane

Cardoso, António; Koyama, K.; Mennim, Andrew; Seahra, Sanjeev S.; Wands, David

doi:10.1103/physrevd.75.084002

Cited by 17 publications

(24 citation statements)

References 30 publications

(64 reference statements)

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“…There are two independent numerical codes that can be used to solve for ∆ and Ω b . The first is the pseudo-spectral (PS) method used in [201] and the second is the characteristic integration (CI) algorithm developed in [70]. Figure 10 shows the output of the PS and CI codes for a typical simulation of a mode with ρ/λ = 50 at the horizon re-enter.…”

Section: Full Numerical Solutionsmentioning

confidence: 99%

Brane-World Gravity

Maartens¹,

Koyama²

2010

Living Rev. Relativ.

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741

1,016

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The observable universe could be a 1+3-surface (the “brane”) embedded in a 1+3+d-dimensional spacetime (the “bulk”), with Standard Model particles and fields trapped on the brane while gravity is free to access the bulk. At least one of the d extra spatial dimensions could be very large relative to the Planck scale, which lowers the fundamental gravity scale, possibly even down to the electroweak (∼ TeV) level. This revolutionary picture arises in the framework of recent developments in M theory. The 1+10-dimensional M theory encompasses the known 1+9-dimensional superstring theories, and is widely considered to be a promising potential route to quantum gravity. At low energies, gravity is localized at the brane and general relativity is recovered, but at high energies gravity “leaks” into the bulk, behaving in a truly higher-dimensional way. This introduces significant changes to gravitational dynamics and perturbations, with interesting and potentially testable implications for high-energy astrophysics, black holes, and cosmology. Brane-world models offer a phenomenological way to test some of the novel predictions and corrections to general relativity that are implied by M theory. This review analyzes the geometry, dynamics and perturbations of simple brane-world models for cosmology and astrophysics, mainly focusing on warped 5-dimensional brane-worlds based on the Randall-Sundrum models. We also cover the simplest brane-world models in which 4-dimensional gravity on the brane is modified at low energies — the 5-dimensional Dvali-Gabadadze-Porrati models. Then we discuss co-dimension two branes in 6-dimensional models.

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Section: Full Numerical Solutionsmentioning

confidence: 99%

Brane-World Gravity

Maartens¹,

Koyama²

2010

Living Rev. Relativ.

Self Cite

741

1,016

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“…[13,30] and the second is the characteristic integration (CI) algorithm developed in Ref. [36] 3 ; detailed descriptions of each method can be found in the respective papers. There is one technical difference between the two algorithms that is worth highlighting here: Namely, each code solves forΩ in different regions of the 5-dimensional spacetime, as shown in Fig.…”

Section: Numeric Analysis a Dimensionless Parameters And Integramentioning

confidence: 99%

Scalar perturbations in braneworld cosmology

Cardoso

Hiramatsu

Koyama

et al. 2007

J. Cosmol. Astropart. Phys.

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We study the behaviour of scalar perturbations in the radiation-dominated era of RandallSundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. We find that density perturbations with wavelengths less than a critical value (set by the bulk curvature length) are amplified during horizon re-entry. This means that the radiation era matter power spectrum will be at least an order of magnitude larger than the predictions of general relativity (GR) on small scales. Conversely, we explicitly confirm from simulations that the spectrum is identical to GR on large scales. Although this magnification is not relevant for the cosmic microwave background or measurements of large scale structure, it will have some bearing on the formation of primordial black holes in Randall-Sundrum models.

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“…We use two different numerical codes recently developed in Refs. [6,7], which gives us the ability to confirm the consistency of our numeric results via two independent algorithms. We are ultimately interested in finding the matter transfer function in the radiation era, and also determining the relative influence of KK and highenergy effects on the density perturbations.…”

Section: Introductionmentioning

confidence: 55%

Scalar perturbations in Randall-Sundrum braneworld cosmology

Cardoso¹

2009

Proceedings of Cargèse Summer School: Cosmology and Particle Physics Beyond the Standard Models — PoS(cargese)

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We study the evolution of scalar perturbations in the radiation-dominated era of Randall-Sundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. We find that density perturbations with wavelengths less than a critical value (set by the bulk curvature length) are amplified during horizon re-entry. Conversely, we explicitly confirm from simulations that the spectrum is identical to GR on large scales. Although this magnification is not relevant for the cosmic microwave background or measurements of large scale structure, it may have some bearing on the formation of primordial black holes in Randall-Sundrum models.

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Coupled bulk and brane fields about a de Sitter brane

Cited by 17 publications

References 30 publications

Brane-World Gravity

Brane-World Gravity

Scalar perturbations in braneworld cosmology

Scalar perturbations in Randall-Sundrum braneworld cosmology

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