Many-body problem in Kaluza–Klein models with toroidal compactification

@article{Chopovsky2014ManybodyPI,
  title={Many-body problem in Kaluza–Klein models with toroidal compactification},
  author={Alexey Chopovsky and Maxim Eingorn and Alexander Zhuk},
  journal={The European Physical Journal C},
  year={2014},
  volume={74},
  pages={1-9}
}
In this paper, we consider a system of gravitating bodies in Kaluza–Klein models with toroidal compactification of the extra dimensions. To simulate the astrophysical objects (e.g., our Sun and pulsars) with energy density much greater than the pressure, we assume that these bodies are pressureless in the external space, i.e., the space we inhabit. At the same time, they may have nonzero parameters $$\omega _{({\bar{\alpha }} -3)} \, ({\bar{\alpha }} =4,\ldots , D)$$ω(α¯-3)(α¯=4,…,D) in the… 

Weak-field limit of Kaluza–Klein models with spherically symmetric static scalar field: observational constraints

In a multidimensional Kaluza–Klein model with Ricci-flat internal space, we study the gravitational field in the weak-field limit. This field is created by two coupled sources. First, this is a

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

We consider higher-dimensional massive Brans-Dicke theory with Ricci-flat internal space. The background model is perturbed by a massive gravitating source which is pressureless in the external (our

Kaluza-Klein multidimensional models with Ricci-flat internal spaces: the absence of the KK particles

We consider a multidimensional Kaluza-Klein (KK) model with a Ricci-flat internal space, for example, a Calabi-Yau manifold. We perturb this background metrics by a system of gravitating masses, for

TWO-BODY PROBLEM IN KALUZA-KLEIN MODELS WITH RICCI-FLAT INTERNAL SPACES

. We consider the dynamics of a two-body system in the model with additional spatial dimensions compactified on a Ricci-flat manifold. To define the gravitational field of a system and to construct its

Ring paradigm as Quantum Gravity

  • J. Novák
  • Physics
    Journal of Physics: Conference Series
  • 2019
Construction of a model of Quantum Gravity, which will be one day in concordance with experiments, is one of the most fascinating tasks which we have in modern theoretical physics. There are common

Unified scenario of three types of neutrinos with respective mass scales

A unified theory of three different types of neutrinos is discussed in the Kaluza–Klein (KK) five-dimensional spacetime theory. In particular, we construct the scenario in which the zeroth KK modes

References

SHOWING 1-10 OF 52 REFERENCES

Kaluza-Klein models: Can we construct a viable example?

In Kaluza-Klein models with toroidal compactification of the extra dimensions, we investigate soliton solutions of Einstein equation. The nonrelativistic gravitational potential of these solitons

Multidimensional gravity in the nonrelativistic limit

Exact solutions of the Poisson equation are found for multidimensional spaces with topology ${M}_{3+d}={\mathbb{R}}^{3}\ifmmode\times\else\texttimes\fi{}{T}^{d}$. These solutions describe smooth

Latent solitons, black strings, black branes, and equations of state in Kaluza-Klein models

In Kaluza-Klein models with an arbitrary number of toroidal internal spaces, we investigate soliton solutions which describe the gravitational field of a massive compact object. We single out the

On Kaluza-Klein states from large extra dimensions

We consider the novel Kaluza-Klein (KK) scenario where gravity propagates in the $(4+n)$-dimensional bulk of spacetime, while gauge and matter fields are confined to the $(3+1)$-dimensional world

Classical tests of multidimensional gravity: negative result

In the Kaluza–Klein model with toroidal extra dimensions, we obtain the metric coefficients in a weak-field approximation for delta-shaped matter sources. These metric coefficients are applied to

Non-relativistic limit of multidimensional gravity: exact solutions and applications

We found the exact solution of the Poisson equation for the multidimensional space with topology . This solution describes the smooth transition from the newtonian behavior 1/r3 for distances bigger

Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity

We recently proposed a solution to the hierarchy problem not relying on low-energy supersymmetry or technicolor. Instead, the problem is nullified by bringing quantum gravity down to the TeV scale.

Spectrum and stability of compactifications on product manifolds

We study the spectrum and perturbative stability of Freund-Rubin compactifications on $M_p \times M_{Nq}$, where $M_{Nq}$ is itself a product of $N$ $q$-dimensional Einstein manifolds. The

Kaluza-Klein Towers on General Manifolds

A higher-dimensional universe with compactified extra dimensions admits a four-dimensional description consisting of an infinite Kaluza-Klein tower of fields. We revisit the problem of describing the
...