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Physical singularity in the regular spacetime and fundamental length

Vladimir Dzhunushaliev·Ratbay Myrzakulov
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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 $G_{55}$ metric component leads to the appearance of the Dirac's $δ-$function. In this case the Ricci scalar becomes singular since there is a square of this derivative.

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Vladimir Dzhunushaliev, Ratbay Myrzakulov. 2007-06-07. Physical singularity in the regular spacetime and fundamental length. https://doi.org/10.1142/s0218271807008638

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