Problematic aspects of Kaluza–Klein excitations in multidimensional models with Einstein internal spaces

Chopovsky, Alexey; Eingorn, Maxim; Zhuk, Alexander

doi:10.1016/j.physletb.2014.07.042

Cited by 7 publications

(20 citation statements)

References 23 publications

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“…Obviously, such multidimensional theories should not contradict the experimental data, in particular, the well-known gravitational tests in the Solar system: deflection of light, time delay of radar echoes and perihelion precession of Mercury. We investigated this problem in a number of our previous papers [5][6][7][8][9][10][11][12] and one of the main conclusions of these papers is that in the case of Ricci-flat internal spaces, the model with pressureless gravitating mass contradicts gravitational tests [5]. The negative result follows as a consequence of massless fluctuations of the internal space that generate the fifth force [13].…”

Section: Introductionmentioning

confidence: 99%

Weak-Field Limit of a Kaluza-Klein Model with a Nonlinear Perfect Fluid

Yalçınkaya

Zhuk

2019

Gravit. Cosmol.

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The main purpose of our paper is to construct a viable Kaluza-Klein model satisfying the observable constraints. To this end, we investigate the six-dimensional model with spherical compactification of the internal space. Background matter is considered in the form of a perfect fluid with non-linear equations of state both in the external/our and internal spaces and the model is set to include an additional bare cosmological constant Λ 6 . In the weak-field approximation, the background is perturbed by pressureless gravitating mass that is a static point-like particle. The non-linearity of the equations of state of a perfect fluid makes it possible to solve simultaneously a number of problems. The demand that the parameterized post-Newtonian parameter γ be equal to 1 in this configuration, first, ensures compatibility with gravitational tests in the Solar system (deflection of light and time delay of radar echoes) at the same level of accuracy as General Relativity. Second, it translates into the absence of internal space variations so that the gravitational potential coincides exactly with the Newtonian one, securing the absence of the fifth force. Third, the gravitating mass remains pressurless in the external space as in the standard approach to non-relativistic astrophysical objects and meanwhile, acquires effective tension in the internal space. *

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Section: Introductionmentioning

confidence: 99%

Weak-Field Limit of a Kaluza-Klein Model with a Nonlinear Perfect Fluid

Yalçınkaya

Zhuk

2019

Gravit. Cosmol.

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“…These studies are for the two cases, presented in this paper, under consideration. There are, however, several proposals in the literature which suggest the compactification scheme and discuss it [54,55]. We are not yet able to comment them from the point of view of our two discussed cases.…”

Section: Jhep04(2014)165mentioning

confidence: 82%

“…There are several papers in the literature [31,32,54,55] studying the way of compactification. It is not easy to say whether the experiences from this literature can usefully be used in our cases.…”

Section: Discussion On Generality Of Our Proposal For Discrete Symmementioning

confidence: 99%

Discrete symmetries in the Kaluza-Klein theories

Borštnik

Nielsen²

2014

J. High Energ. Phys.

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In theories of the Kaluza-Klein kind there are spins or total angular moments in higher dimensions which manifest as charges in the observable d = (3 + 1). The charge conjugation requirement, if following the prescription in (3 + 1), would transform any particle state out of the Dirac sea into the hole in the Dirac sea, which manifests as an anti-particle having all the spin degrees of freedom in d, except S 03 , the same as the corresponding particle state. This is in contradiction with what we observe for the anti-particle. In this paper we redefine the discrete symmetries so that we stay within the subgroups of the starting group of symmetries, while we require that the angular moments in higher dimensions manifest as charges in d = (3 + 1). We pay attention on spaces with even d.

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“…Taking into account the structure of the EMT of the perturbation (22), it turns out that the only non-zero components of the metric perturbations h MN are [9,23] h 00 ≡ −ĝ 00…”

Section: Linearized Equationsmentioning

confidence: 99%

Weak field limit of higher dimensional massive Brans-Dicke gravity: Observational constraints

et al. 2020

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We consider higher dimensional massive Brans-Dicke theory with Ricci-flat internal space. The background model is pertubed by a massive gravitating source which is pressureless in the external (our space) but has an arbitrary equation of state (EoS) parameter Ω in the internal space. We then obtain the exact solution of the system of linearized equations for the perturbations of the metric coefficients and scalar field. For massless scalar field, we demonstrate that, relying on the fine-tuning between parameters ω and Ω, the model does not contradict gravitational tests and scalar field is not ghost in the case of non-zero |Ω| ∼ O(1) and natural value |ω| ∼ O(1). In general case of massive scalar field, the metric coefficients acquire the Yukawa correction terms where the Yukawa mass scale m is defined by the mass of scalar field. For natural value ω ∼ O(1), the inverse-square law experiments impose the following restriction on the lower bound of the mass: m 10 −11 GeV. The experimental constraints on the parameterized post-Newtonian parameter γ requires that the equation of state parameter Ω must be extremely close to −1/2.

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Problematic aspects of Kaluza–Klein excitations in multidimensional models with Einstein internal spaces

Cited by 7 publications

References 23 publications

Weak-Field Limit of a Kaluza-Klein Model with a Nonlinear Perfect Fluid

Weak-Field Limit of a Kaluza-Klein Model with a Nonlinear Perfect Fluid

Discrete symmetries in the Kaluza-Klein theories

Weak field limit of higher dimensional massive Brans-Dicke gravity: Observational constraints

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