Strings, Branes and Extra Dimensions

Förste, Stefan

doi:10.1002/1521-3978(200203)50:3/4<221::aid-prop221>3.0.co;2-p

Cited by 38 publications

(22 citation statements)

References 428 publications

(541 reference statements)

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“…These components allow one to evaluate the metric coefficients in Equation (148). For example, the area of the 5D horizon is determined byg θθ ; defining ψ(r) as the deviation from a Schwarzschild form for H, i.e.,…”

Section: Taylor Expansion Into the Bulkmentioning

confidence: 99%

Brane-World Gravity

Maartens¹,

Koyama²

2010

Living Rev. Relativ.

751

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: Taylor Expansion Into the Bulkmentioning

confidence: 99%

Brane-World Gravity

Maartens¹,

Koyama²

2010

Living Rev. Relativ.

751

1,016

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“…The action (3.1) describes a two-dimensional field theory with D scalar fields. At the classical level, this theory is invariant under two-dimensional diffeomorphisms and under the Weyl symmetry 1 The fundamentals of the theory can be found in the classic textbooks [270][271][272][273], as well as the lecture notes [274][275][276][277][278][279][280]. More recent advances are described in [281][282][283].…”

Section: From Worldsheet To Spacetimementioning

confidence: 99%

Inflation and String Theory

2015

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“…Other recent reviews focus on string-theory aspects, e.g., [101, 231, 68, 264], or on particle physics aspects, e.g., [262, 273, 182, 112, 51]. Before turning to a more detailed analysis of RS brane-worlds, I discuss the notion of Kaluza-Klein (KK) modes of the graviton.…”

Section: Introductionmentioning

confidence: 99%

Brane-World Gravity

Maartens

2004

Living Rev. Relativ.

832

880

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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. General relativity cannot describe gravity at high enough energies and must be replaced by a quantum gravity theory, picking up significant corrections as the fundamental energy scale is approached. 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 discusses 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.

show abstract

Strings, Branes and Extra Dimensions

Cited by 38 publications

References 428 publications

Brane-World Gravity

Brane-World Gravity

Inflation and String Theory

Brane-World Gravity

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