Localization of fields on a brane in six dimensions (original) (raw)

Physics Letters B, 2001

Growing non-singular solution of 6-dimensional Einstein equations for the 4-brane in infinite transversal 2-space is found. This solution provides gravitational trapping of matter and 4-dimensional gravity on the brane without extra delta-like source. The suitable solution exists in the case of the (2+4)-space and not exists for the (1+5)-signature.

2 1 3 O ct 2 00 3 Nonsingular Increasing Gravitational Potential for the Brane in 6 D

2008

We present a new (1+3)-brane solution to Einstein equations in (1+5)-space. As distinct from previous models this solution is free of singularities in the full 6-dimensional space-time. The gravitational potential transverse to the brane is an increasing (but not exponentially) function and asymptotically approaches a finite value. The solution localizes the zero modes of all kinds of matter fields and Newtonian gravity on the brane. An essential feature of the model is that different kind of matter fields have different localization radii. PACS: 11.10.Kk, 04.50.+h, 98.80.Cq The scenario where our world is associated with a brane embedded in a higher dimensional space-time with non-factorizable geometry has attracted a lot of interest since the appearance of papers [1, 2, 3]. In this model gravitons, which are allowed to propagate in the bulk, are confined on the brane because of a warped geometry. However, there are difficulties with the choice of a natural trapping mechanism for s...

Multi-Localization in Multi-Brane Worlds

This Thesis presents a study of higher dimensional brane-world models with nonfactorizable geometry. In the picture of brane-world, Standard Model fields are assumed to be localized or confined on a lower dimensional topological defect (brane) in the higher dimensional space (bulk). When the space is curved, due to the presence of an energy density distribution, the non-trivial geometry can induce localization of gravity across the extra dimension. This implies that, in particular constructions, gravity can be localized on the brane. The localization of gravity leads to the realization that, if extra dimensions exists, they need not be compact. It is shown that in the context of multi-brane world constructions with localized gravity the phenomenon of multi-localization is possible. When the latter scenario is realized, the KK spectrum contains special ultralight and localized KK state(s). Existence of such states give the possibility that gravitational interactions as we realize them are the net effect of the massless graviton and the special KK state(s).

Universal aspects of gravity localized on thick branes

Nuclear Physics B, 2000

We study gravity in backgrounds that are smooth generalizations of the Randall-Sundrum model, with and without scalar fields. These generalizations include three-branes in higher dimensional spaces which are not necessarily Anti-de Sitter far from the branes, intersecting brane configurations and configurations involving negative tension branes. We show that under certain mild assumptions there is a universal equation for the gravitational fluctuations. We study both the graviton ground state and the continuum of Kaluza-Klein modes and we find that the four-dimensional gravitational mode is localized precisely when the effects of the continuum modes decouple at distances larger than the fundamental Planck scale. The decoupling is contingent only on the long-range behaviour of the metric from the brane and we find a universal form for the corrections to Newton's Law. We also comment on the possible contribution of resonant modes. Given this, we find general classes of metrics which maintain localized four-dimensional gravity. We find that three-brane metrics in five dimensions can arise from a single scalar field source, and we rederive the BPS type conditions without any a priori assumptions regarding the form of the scalar potential. We also show that a single scalar field cannot produce conformally-flat locally intersecting brane configurations or a p-brane in greater than (p + 2)-dimensions.

On the localization of four-dimensional brane-world black holes

Class.Quant.Grav. 30 (2013) 235017, 2013

In the context of brane-world models, we pursue the question of the existence of five-dimensional solutions describing regular black holes localized close to the brane. Employing a perturbed Vaidya-type line-element embedded in a warped fifth dimension, we attempt to localize the extended black-string singularity, and to restore the regularity of the AdS spacetime at a finite distance from the brane by introducing an appropriate bulk energy-momentum tensor. As a source for this bulk matter, we are considering a variety of non-ordinary fieldtheory models of scalar fields either minimally coupled to gravity, but including non-canonical kinetic terms, mixing terms, derivative interactions and ghosts, or non-minimally coupled to gravity through a general coupling to the Ricci scalar. In all models considered, even in those characterized by a high degree of flexibility, a negative result was reached. Our analysis demonstrates how difficult the analytic construction of a localized brane-world black hole may be in the context of a well-defined field-theory model. Finally, with regard to the question of the existence or not of a static classical black-hole solution on the brane, our analysis suggests that such solutions could in principle exist; however, the associated field configuration itself has to be dynamic.

On the localisation of four-dimensional brane-world black holes: II. The general case

Classical and Quantum Gravity, 2015

We perform a comprehensive analysis of a number of scalar field theories in a attempt to find analytically 5-dimensional, localised-on-the-brane, black-hole solutions. Extending a previous analysis, we assume a generalised Vaidya ansatz for the 5-dimensional metric tensor that allows for time-dependence, non-trivial profile of the mass function in terms of the bulk coordinate and a deviation from the over-restricting Schwarzschild-type solution on the brane. In order to support such a solution, we study a variety of theories including single or multiple scalar fields, with canonical or non-canonical kinetic terms, minimally or non-minimally coupled to gravity. We demonstrate that for such a metric ansatz and for a carefully chosen, non-isotropic in 5 dimensions, energy-momentum tensor, solutions that have the form of a Schwarzschild-(Anti)de Sitter or Reissner-Nordstrom type of solution do emerge, however, the resulting profile of the mass-function along the bulk coordinate, when allowed, is not the correct one to eliminate the bulk singularities.

Nonsingular increasing gravitational potential for the brane in 6D

Physics Letters B, 2004

Brane in 6D with an increasing gravitational trapping potential

A new solution to Einstein equations in (1+5)-spacetime with an embedded (1+3) brane is given. This solution localizes the zero modes of all kinds of matter fields and 4-gravity on the (1+3) brane by an increasing, transverse gravitational potential. This localization occurs despite the fact that the gravitational potential is not a decreasing exponential, and asymptotically approaches a finite value rather than zero.

Brane in 6D with increasing gravitational trapping potential

2003

Gauge fields, fermions and mass gaps in 6D brane worlds

We study fluctuations about axisymmetric warped brane solutions in 6D minimal gauged supergravity. Much of our analysis is general and could be applied to other scenarios. We focus on bulk sectors that could give rise to Standard Model gauge fields and charged matter. We reduce the dynamics to Schrödinger type equations plus physical boundary conditions, and obtain exact solutions for the Kaluza–Klein wave functions and discrete mass spectra. The power-law warping, as opposed to exponential in 5D, means that zero mode wave functions can be peaked on negative tension branes, but only at the price of localizing the whole Kaluza–Klein tower there. However, remarkably, the codimension two defects allow the Kaluza– Klein mass gap to remain finite even in the infinite volume limit. In principle, not only gravity, but Standard Model fields could 'feel' the extent of large extra dimensions, and still be described by an effective 4D theory.

Localization of fields on a brane in six dimensions (original) (raw)

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