Brane-World Gravity

Maartens, Roy; Koyama, K.

doi:10.12942/lrr-2010-5

Cited by 742 publications

(1,053 citation statements)

References 438 publications

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“…For reviews of observational tests of GR and dark energy, see [182,183] and [264,265], respectively. A topic we do not discuss in great depth is brane-world gravity and cosmology, but reviews can be found in [266][267][268][269][270][271][272].…”

Section: Organization Of the Reviewmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

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After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond Λ or smooth dark energy, often called modified gravity, has led to broader insights into a path forward, and a host of observational and experimental tests have been developed. In this review we present the current state of the field and describe a framework for anticipating developments in the next decade. We identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.We begin by reviewing recent attempts to consistently modify Einstein gravity in the infrared, focusing on the notion that additional degrees of freedom introduced by the modification must "screen" themselves from local tests of gravity. We categorize screening mechanisms into three broad classes: mechanisms which become active in regions of high Newtonian potential, those in which first derivatives of the field become important, and those for which second derivatives of the field are important. Examples of the first class, such as f (R) gravity, employ the familiar chameleon or symmetron mechanisms, whereas examples of the last class are galileon and massive gravity theories, employing the Vainshtein mechanism. In each case, we describe the theories as effective theories and discuss prospects for completion in a more fundamental theory. We describe experimental tests of each class of theories, summarizing laboratory and solar system tests and describing in some detail astrophysical and cosmological tests. Finally, we discuss prospects for future tests which will be sensitive to different signatures of new physics in the gravitational sector.The review is structured so that those parts that are more relevant to theorists vs. observers/experimentalists are clearly indicated, in the hope that this will serve as a useful reference for both audiences, as well as helping those interested in bridging the gap between them.

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Section: Organization Of the Reviewmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

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“…Moreover, the correspondence between the theories on AdS and Minkowski bulks may be used to derive new results in mathematical physics, in particular, in the theory of special functions (see, for instance, [8] and references therein). The braneworld scenario (for reviews see [9][10][11][12]) offers a new perspective on the hierarchy problem between the gravitational and electroweak mass scales. The main idea to resolve the large hierarchy is that the small coupling of four-dimensional gravity is generated by the large physical volume of extra dimensions.…”

Section: Jhep11(2015)092mentioning

confidence: 99%

Vacuum currents in braneworlds on AdS bulk with compact dimensions

Bellucci

Saharian

Vardanyan

2015

J. High Energ. Phys.

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Abstract:The two-point function and the vacuum expectation value (VEV) of the current density are investigated for a massive charged scalar field with arbitrary curvature coupling in the geometry of a brane on the background of AdS spacetime with partial toroidal compactification. The presence of a gauge field flux, enclosed by compact dimensions, is assumed. On the brane the field obeys Robin boundary condition and along compact dimensions periodicity conditions with general phases are imposed. There is a range in the space of the values for the coefficient in the boundary condition where the Poincaré vacuum is unstable. This range depends on the location of the brane and is different for the regions between the brane and AdS boundary and between the brane and the horizon. In models with compact dimensions the stability condition is less restrictive than that for the AdS bulk with trivial topology. The vacuum charge density and the components of the current along non-compact dimensions vanish. The VEV of the current density along compact dimensions is a periodic function of the gauge field flux with the period equal to the flux quantum. It is decomposed into the boundary-free and brane-induced contributions. The asymptotic behavior of the latter is investigated near the brane, near the AdS boundary and near the horizon. It is shown that, in contrast to the VEVs of the field squared and energy-momentum tensor, the current density is finite on the brane and vanishes for the special case of Dirichlet boundary condition. Both the boundary-free and brane-induced contributions vanish on the AdS boundary. The brane-induced contribution vanishes on the horizon and for points near the horizon the current is dominated by the boundary-free part. In the near-horizon limit, the latter is connected to the corresponding quantity for a massless field in the Minkowski bulk by a simple conformal relation. Depending on the value of the Robin coefficient, the presence of the brane can either increase or decrease the JHEP11 (2015)092 vacuum currents. Applications are given for a higher-dimensional version of the RandallSundrum 1-brane model.

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“…In this scenario, the dynamics of the early universe may be substantially altered by the presence of additional quadratic terms in the energy density, resulting from the brane tension, as well as by the effects of nonzero components of the bulk Weyl tensor, which both give contributions to the effective, four-dimensional, energy-momentum tensor. For general reviews of brane world gravity and resulting cosmologies, see [54][55][56][57][58][59][60][61][62] .…”

Section: Introductionmentioning

confidence: 99%

Null fluid collapse in brane world models

Harkó

Lake

2014

Phys. Rev. D

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The brane world description of our universe entails a large extra dimension and a fundamental scale of gravity that may be lower than the Planck scale by several orders of magnitude. An interesting consequence of this scenario occurs in the nature of spherically-symmetric vacuum solutions to the brane gravitational field equations, which often have properties quite distinct from the standard black hole solutions of general relativity. In this paper, the spherically-symmetric collapse on the brane world of four types of null fluid, governed by the barotropic, polytropic, strange quark "bag" model and Hagedorn equations of state, is investigated. In each case, we solve the approximate gravitational field equations, obtained in the high density limit, determine the equation which governs the formation of apparent horizons and investigate the conditions for the formation of naked singularities. Though, naively, one would expect the increased effective energy density on the brane to favor the formation of black holes over naked singularities, we find that, for the types of fluid considered, this is not the case. However, the black hole solutions differ substantially from their general-relativistic counterparts and brane world corrections often play a role analogous to charge in general relativity. As an astrophysical application of this work, the possibility that energy emission from a Hagedorn fluid collapsing to form a naked singularity may be a source of GRBs in the brane world is also considered.

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Brane-World Gravity

Cited by 742 publications

References 438 publications

Beyond the cosmological standard model

Beyond the cosmological standard model

Vacuum currents in braneworlds on AdS bulk with compact dimensions

Null fluid collapse in brane world models

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