Physical singularity in the regular spacetime and fundamental length

Details Physical singularity in the regular spacetime and fundamental length Physical singularity in the regular spacetime and fundamental length

2005-04-02

arxiv.org/abs/gr-qc/0504008v3

Int. J. Mod. Phys. D, Vol. 16, 755-761 (2007)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

changes in the text

Scientific paper

10.1142/S0218271807008638

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 $G_{55}$ metric component leads to the appearance of the Dirac's $\delta-$function. In this case the Ricci scalar becomes singular since there is a square of this derivative.

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