Brane-world cosmic strings revive the cosmological constant

Heydari-Fard, Malihe; Razmi, H.; Rokni, S. Y.

doi:10.1088/0264-9381/30/16/165006

Cited by 4 publications

(7 citation statements)

References 82 publications

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“…¯L would be identified as an induced magnetic moment tensor 10 . This coupling is a new quantum potential, for relativistic spinless charged particles on the brane, which is remarkably independent of the curvature and torsion.…”

Section: Angular Momentum Of the Normal Coordinates And Induced Zeema...mentioning

confidence: 99%

“…Moreover, assuming that the matter confined in the four-dimensional brane is the only source for the Einstein field equations on the bulk, one can show that the extrinsic curvatures are another source for the Einstein field equations on the brane [2,[4][5][6][7][8]. The presence of this extra source has been proposed as a possible x-cold dark matter [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…It was found that classical test particles cannot 'feel' the effects of extra dimensions by contrast with a quantum test particle. Cosmological implications of this model has been largely investigated in the literature [9][10][11][12][13][14][15][16]. In particular, it has attracted attention as a possible explanation for the accelerated expansion of the universe [9,[11][12][13][14], mass quantization [2,15] as well as the study of the effect in a quark-hadron phase transition [17].…”

Section: Introductionmentioning

confidence: 99%

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Quantum dynamics of spinless particles on a brane coupled to a bulk gauge field

Brandt

Sánchez-Monroy

2017

Class. Quantum Grav.

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We investigate the effective dynamics for spinless charged particles, in the presence of Abelian gauge field, constrained to an m-dimensional curved pseudo-Riemannian submanifold (brane) of an n-dimensional pseudo-Riemannian manifold (bulk). We employ the confining potential approach and a perturbative expansion for the Klein-Gordon and Schrödinger equations is derived. This allows us to obtain the effective Klein-Gordon and Schrödinger equations on a brane, in terms of the extrinsic curvatures, the intrinsic curvature and the extrinsic torsion. We show that the presence of a bulk gauge field induces a Zeeman coupling whenever the codimension is greater than one, even if the brane and the bulk are flat. The effect of a non-minimal coupling with the Ricci scalar curvature of the bulk is also considered. The results presented here can be applied in at least two physical scenarios: brane gravity, when the brane is four-dimensional, and condensed matter, when the bulk is a four-dimensional flat manifold and the brane is three-or two-dimensional.

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Section: Angular Momentum Of the Normal Coordinates And Induced Zeema...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum dynamics of spinless particles on a brane coupled to a bulk gauge field

Brandt

Sánchez-Monroy

2017

Class. Quantum Grav.

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“…It has been suggested that the detection of cosmic strings could be a possible way to verify the inflationary paradigm, providing an interesting testing ground into string theory by probing the braneworld scenario before the inflationary phase [29,30,31,32]. Many other publications have investigated the effects of braneworld gravity on the physics of cosmic strings [34,35,36,37,38,39]. Specifically in [39], the authors have studied the consequences of the braneworld modified gravity on the cosmic string phenomenology.…”

Section: Introductionmentioning

confidence: 99%

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Bellucci,

Santos,

de Mello

et al. 2020

Preprint

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We investigate the effects of a brane and magnetic-flux-carrying cosmic string on the vacuum expectation value (VEV) of the current density for a charged fermionic field in the background geometry of (4+1)-dimensional anti-de Sitter (AdS) spacetime. The brane is parallel to the AdS boundary and the cosmic string is orthogonal to the brane. Two types of boundary conditions are considered on the brane that include the MIT bag boundary condition and the boundary conditions in Z 2 -symmetric braneworld models. The brane divides the space into two regions with different properties of the vacuum state. The only nonzero component of the current density is along the azimuthal direction and in both the regions the corresponding VEV is decomposed into the branefree and brane-induced contributions. The latter vanishes on the string and near the string the total current is dominated by the brane-free part. At large distances from the string and in the region between the brane and AdS horizon the decay of the brane-induced current density, as a function of the proper distance, is power-law for both massless and massive fields. For a massive field this behavior is essentially different from that in the Minkowski bulk. In the region between the brane and AdS boundary the large-distance decay of the current density is exponential. Depending on the boundary condition on the brane, the brane-induced contribution is dominant or subdominant in the total current density at large distances from the string. By using the results for fields realizing two inequivalent irreducible representations of the Clifford algebra, the vacuum current density is investigated in C-and P -symmetric fermionic models. Applications are given for a cosmic string in the Randall-Sundrum-type braneworld model with a single brane.

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“…For instance, strings quantization has been studied in the framework of a AdS 5 × S 5 [4]. The study of the cosmological implications of topological defects has become an area of sustained interest [5].…”

Section: Introductionmentioning

confidence: 99%

Quantized gravito-magnetic charges from WIMT: cosmological consequences

Romero

Bellini

2015

Can. J. Phys.

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Using the formalism of Weitzenböck induced matter theory (WIMT) we calculate the gravitomagnetic charge on a topological string which is induced through a foliation on a five-dimensional (5D) gravito-electromagnetic vacuum defined on a 5D Ricci-flat metric, which produces a symmetry breaking on an axis. We obtain the resonant result that the quantized charges are induced on the effective four-dimensional hypersurface. This quantization describes the behavior of a test gravitoelectric charge in the vicinity of a point gravito-magnetic monopole, both geometrically induced from a 5D vacuum. We demonstrate how gravito-magnetic monopoles would decrease exponentially during the inflationary expansion of the universe.

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Brane-world cosmic strings revive the cosmological constant

Cited by 4 publications

References 82 publications

Quantum dynamics of spinless particles on a brane coupled to a bulk gauge field

Quantum dynamics of spinless particles on a brane coupled to a bulk gauge field

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Quantized gravito-magnetic charges from WIMT: cosmological consequences

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