Graviton localization and Newton’s law for brane models with a nonminimally coupled bulk scalar field

Farakos, K.; Koutsoumbas, G.; Pasipoularides, P.

doi:10.1103/physrevd.76.064025

Cited by 36 publications

(39 citation statements)

References 57 publications

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“…The results of Refs. [5][6][7][8][9][10][11] show that four-dimensional gravity can be localized on the thick branes generated by background scalar field(s) in a five-dimensional asymptotic AdS spacetime. As shown in Refs.…”

Section: Introductionmentioning

confidence: 99%

Generalized geometrical coupling for vector field localization on thick brane in asymptotic anti–de Sitter spacetime

et al. 2020

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It is known that a five-dimensional free vector field AM cannot be localized on Randall-Sundrum (RS)-like thick branes, namely, the thick branes embedded in asymptotic Anti-de Sitter (AdS) spacetime. In order to localize a vector field on the RS-like thick brane, an extra coupling term should be introduced. In this paper, we generalize the geometrical coupling mechanism by adding two mass terms (αRg M N AM AN + βR M N AM AN ) into the action. We decompose the fundamental vector field AM into three parts: transverse vector partÂµ, scalar parts φ and A5. Then, we find that the transverse vector partÂµ decouples from the scalar parts. In order to eliminate the tachyonic modes ofÂµ, the two coupling parameters α and β should satisfy a relation. Combining the restricted condition, we can get a combination parameter as γ = 3 2 ± √ 1 + 12α. Only if γ > 1/2, the zero mode ofÂµ can be localized on the RS-like thick brane. We also investigate the resonant character of the vector partÂµ for the general RS-like thick brane with the warp factor A(z) = − ln(1 + k 2 z 2 )/2 by choosing the relative probability method. The result shows that, only for γ > 3, the massive resonant Kaluza-Klein modes can exist. The number of resonant Kaluza-Klein states increases with the combination parameter γ, and the lifetime of the first resonant state can be long enough as the age of our universe. This indicates that the vector resonances might be considered as one of the candidates of dark matter. Combining the conditions of experimental observations, the constrain shows that the parameter k has a lower limit with k 10 −17 eV, the combination parameter γ should be greater than 57, and accordingly, the mass of the first resonant state should satisfy m1 10 −15 eV.

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Section: Introductionmentioning

confidence: 99%

Generalized geometrical coupling for vector field localization on thick brane in asymptotic anti–de Sitter spacetime

et al. 2020

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“…In addition, there are also braneworld models without matter fields [14,29,30]. The standard model fields in the bulk can be localized near the brane [6, 11,[31][32][33][34].The braneworld was also studied in different modified gravity theories, for example, the scalar-tensor gravity theory [35][36][37][38][39][40][41][42][43][44], the metric f (R) gravity theory [45][46][47] and the Palatini f (R) theory [48,49]. As f (T ) gravity theory came up as an alternative to dark energy for the explanation of the acceleration of the universe [50], it was then widely investigated [51][52][53][54][55].…”

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confidence: 99%

Braneworld in f(T) gravity theory with noncanonical scalar matter field

et al. 2018

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In this paper, we investigate the braneworld scenario in f (T ) gravity with a K-field as the background field. We consider various different specific forms of f (T ) gravity and K-field, and find a general way to construct the braneworld model. Based on our solutions, the split of branes is investigated. Besides, the stability of the braneworld is studied by investigating the tensor perturbation of the vielbein. I. INTRODUCTIONOne of the most well-known and earliest extra dimension theories was first proposed by T. Kaluza [1] and O. Klein [2] to unify Einstein's general relativity and Maxwell's electromagnetism in the 1920s. The extra dimension theories drew wide attention with the work of N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali [3] and the works of L. Randall and R. Sundrum [4, 5] in the end of the 20th century. Later, various braneworld scenarios were developed such as the Gregory-Rubakov-Sibiryakov (GRS) model [6], the Dvali-Gabadadze-Porrati (DGP) model [7], the thick brane model [8-17], the universal extra dimension model[18], etc. Among these theories, one important model is the thick brane theory originated from the domain wall model proposed by V. A. Rubakov and M. E. Shaposhnikov [19] in 1983.In the thick brane model, the brane could be generated by scalar fields [11,[20][21][22][23][24][25][26], as well as vector fields and spinor fields [12,27,28]. In addition, there are also braneworld models without matter fields [14,29,30]. The standard model fields in the bulk can be localized near the brane [6, 11,[31][32][33][34].The braneworld was also studied in different modified gravity theories, for example, the scalar-tensor gravity theory [35][36][37][38][39][40][41][42][43][44], the metric f (R) gravity theory [45][46][47] and the Palatini f (R) theory [48,49]. As f (T ) gravity theory came up as an alternative to dark energy for the explanation of the acceleration of the universe [50], it was then widely investigated [51][52][53][54][55]. Braneworld models in f (T ) theories were studied in Refs. [56][57][58]. In the previous works [56,57], the solutions of braneworld scenarios in f (T ) gravity with the form of f (T ) = T + αT n were investigated by the first-order formalism, i.e., the superpotential way. Besides, the split of the brane in f (T ) gravity was given in Ref. [56]. Furthermore, the tensor perturbation of the braneworld was also studied in Ref. [58] and it was shown that the solutions to the f (T ) braneworld were stable. The localization of matter fields was also investigated in Ref. [56]. *

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“…Braneworld solutions with a Minkowski spacetime on our brane were also studied in the context of a nonminimally coupled scalar-tensor theory in[75][76][77][78].…”

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confidence: 99%

Antigravitating braneworld solutions for a de Sitter brane in scalar-tensor gravity

2018

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In the context of a five-dimensional theory with a scalar field nonminimally coupled to gravity, we look for solutions that describe novel black-string or maximally symmetric solutions in the bulk. The brane line element is found to describe a Schwarzschild-(anti)-de Sitter spacetime, and, here, we choose to study solutions with a positive four-dimensional cosmological constant. We consider two different forms of the coupling function of the scalar field to the bulk scalar curvature, a linear one and a quadratic one. In the linear case, we find solutions where the theory, close to our brane, mimics an ordinary gravitational theory with a minimally coupled scalar field giving rise to an exponentially decreasing warp factor in the absence of a negative bulk cosmological constant. The solution is characterized by the presence of a normal gravity regime around our brane and an antigravitating regime away from it. In the quadratic case, there is no normal-gravity regime at all; however, scalar field and energy-momentum tensor components are well defined and an exponentially decreasing warp factor emerges again. We demonstrate that, in the context of this theory, the emergence of a positive cosmological constant on our brane is always accompanied by an antigravitating regime in the five-dimensional bulk. *

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Graviton localization and Newton’s law for brane models with a nonminimally coupled bulk scalar field

Cited by 36 publications

References 57 publications

Generalized geometrical coupling for vector field localization on thick brane in asymptotic anti–de Sitter spacetime

Generalized geometrical coupling for vector field localization on thick brane in asymptotic anti–de Sitter spacetime

Braneworld in f(T) gravity theory with noncanonical scalar matter field

Antigravitating braneworld solutions for a de Sitter brane in scalar-tensor gravity

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