English

Physical singularity in the regular spacetime and fundamental length

General Relativity and Quantum Cosmology 2009-11-11 v3 High Energy Physics - Theory

Abstract

It is shown that formally regular solutions in 5D Kaluza-Klein gravity have singularities. This phenomenon is connected with the existence of a minimal length in nature. The calculation of the derivative of the G55G_{55} metric component leads to the appearance of the Dirac's δ\delta-function. In this case the Ricci scalar becomes singular since there is a square of this derivative.

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Cite

@article{arxiv.gr-qc/0504008,
  title  = {Physical singularity in the regular spacetime and fundamental length},
  author = {Vladimir Dzhunushaliev and Ratbay Myrzakulov},
  journal= {arXiv preprint arXiv:gr-qc/0504008},
  year   = {2009}
}

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changes in the text

R2 v1 2026-07-22T12:42:23.646Z