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General Relativity and Quantum Cosmology

arXiv:1301.5218 (gr-qc)
[Submitted on 22 Jan 2013 (v1), last revised 17 Jun 2013 (this version, v2)]

Title:Many-body problem in Kaluza-Klein models: theory and observational consequences

Authors:Alexey Chopovsky, Maxim Eingorn, Alexander Zhuk
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Abstract:We consider a system of gravitating bodies in Kaluza-Klein models with toroidal compactification of extra dimensions. To simulate the astrophysical objects (e.g., our Sun and pulsars) with the energy density much greater than the pressure, we suppose that these bodies are pressureless in the external/our space. At the same time, they may have nonzero parameters \omega_{(\bar\alpha -3)} \, (\bar\alpha =4,...,D) of the equations of state in the extra dimensions. We construct the Lagrange function of this many-body system for any value of \Sigma =\sum_{\bar\alpha} \omega_{(\bar\alpha -3)}. Moreover, the gravitational tests (PPN parameters, perihelion/periastron advance) require negligible deviation from the latent soliton value \Sigma =-(D-3)/2. However, the presence of pressure/tension in the internal space results necessarily in the smearing of the gravitating masses over the internal space and in the absence of the KK modes. This looks very unnatural from the point of quantum physics.
Comments: Eqs. (16), (21), (23) and (24) corrected. Title, abstract, introduction and conclusions changed. New section and references added. arXiv admin note: substantial text overlap with arXiv:1302.0501
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:1301.5218 [gr-qc]
  (or arXiv:1301.5218v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.1301.5218

Submission history

From: Alexander Zhuk [view email]
[v1] Tue, 22 Jan 2013 16:04:16 UTC (8 KB)
[v2] Mon, 17 Jun 2013 18:26:28 UTC (10 KB)
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