Inhomogeneous Extra Space as a Tool for the Top-Down Approach

Rubin, S. G.

doi:10.1155/2018/2767410

Cited by 9 publications

(15 citation statements)

References 44 publications

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“…The results of numerical calculation of equations (7), (8) The numerical values of H 1 and H 2 coincide with those found from the (13,14,15) or (19), (20) In this section we have shown that the behavior of the extra spaces depends on initial conditions. We have found out promising conditions and the Lagrangian parameters for which one of the extra spaces remains small while the other expands quickly.…”

Section: The Modelsupporting

confidence: 78%

“…Second, the inclusion of extra dimensions is of particular interest because the idea of extra space is widely used in modern research. They shed light to such issues as the grand unification [10,11], neutrino mass [12], the cosmological constant problem [13][14][15] and so on. In this regard, the immediately aroused question is: why specific number of dimensions are asymptotically compact and stable while others expand [16][17][18]?…”

Section: Introductionmentioning

confidence: 99%

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Evolution of sub-spaces at high and low energies

Popov

Rubin

2019

Eur. Phys. J. C

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The evolution of sub-spaces in the framework of gravity with higher derivatives is studied. Numerical solutions to exact differential equations are found. It is shown that the initial conditions play crucial role in the space dynamic. Appropriate metrics describing an expanding and a stationary sub-space shed light on the well-known question: why our 3-dim space is large but an extra space is small and stable (if exists)? It is assumed that the values of parameters at high energies strongly depend on uncontrolled quantum corrections and, hence, are not equal to their values at low energies. Therefore, there is no way to trace solutions throughout the energy range, and we restrict ourselves to the sub-Planckian and the inflationary energies.

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Section: The Modelsupporting

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Evolution of sub-spaces at high and low energies

Popov

Rubin

2019

Eur. Phys. J. C

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“…The compact extra-dimensional metric could play a crucial role in the physical parameter values such as particle masses and the relevant coupling constants [8]. The nuclear reaction rates inside such domains, and hence the final chemical content and temperature, could differ from the conditions in the surrounding space.…”

Section: Discussionmentioning

confidence: 99%

“…The complexity of this problem is aggravated by the inclusion of extra dimensions. The latter is of particular interest because the concept of extra dimensions is widely used in modern research dealing with problems such as grand unification [4,5], the cosmological constant problem [6][7][8], etc.…”

Section: Introductionmentioning

confidence: 99%

Local Regions with Expanding Extra Dimensions

Бронников

Rubin

2021

Physics

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In this paper possible spatial domains, containing expanding extra dimensions, are studied. It is demonstrated that these domains are predicted in the framework of f(R) gravity (where R is the scalar curviture) and could appear due to quantum fluctuations during inflation. The interior of the domains is shown to be characterized by the multidimensional curvature ultimately tending to zero and a slowly growing size of the extra dimensions.

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“…a e-mail: kb20@yandex.ru b e-mail: arkady_popov@mail.ru c e-mail: sergeirubin@list.ru (corresponding author) In this paper, we study the possible influence of a matter field on the metric of extra dimensions. Previous results concerning multidimensional gravity with 4D Minkowski factor space are published in [13][14][15][16][17], where the importance of inhomogeneous extra dimensions was discussed. In particular, the scalar field localization on deformed extra space.…”

Section: Introductionmentioning

confidence: 99%

Inhomogeneous compact extra dimensions and de Sitter cosmology

2020

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In the framework of multidimensional f(R) gravity, we study the possible metrics of compact extra dimensions assuming that our 4D space has the de Sitter metric. Manifolds described by such metrics could be formed at the inflationary and even higher energy scales. It is shown that in the presence of a scalar field, it is possible to obtain a variety of inhomogeneous metrics in the extra factor space $${{\mathbb {M}}}_2$$ M 2 . Each of these metrics leads to a certain value of the 4D cosmological constant $$\varLambda _4$$ Λ 4 , and in particular, it is possible to obtain $$\varLambda _4 =0$$ Λ 4 = 0 , as is confirmed by numerically obtained solutions. A nontrivial scalar field distribution in the extra dimensions is an important feature of this family of metrics. The obtained solutions are shown to be stable under extra-dimensional perturbations.

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Inhomogeneous Extra Space as a Tool for the Top-Down Approach

Cited by 9 publications

References 44 publications

Evolution of sub-spaces at high and low energies

Evolution of sub-spaces at high and low energies

Local Regions with Expanding Extra Dimensions

Inhomogeneous compact extra dimensions and de Sitter cosmology

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