Physical singularity in the regular spacetime and fundamental length

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 $\delta -$function. In this case the Ricci scalar becomes singular since there is a square of this derivative.

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References in corpus (4)

• The nature of spacetime singularities
• Classical model of elementary particle with Bertotti-Robinson core and extremal black holes
• N-spheres in general relativity: regular black holes without apparent horizons, static wormholes with event horizons and gravastars with a tube-like core
• Wormhole solutions in 5D Kaluza-Klein theory as string-like objects

Cited by in corpus (3)

• Fundamental length in quantum theories with PT-symmetric Hamiltonians
• The deformation-stability fundamental length and deviations from c
• Cryptohermitian Hamiltonians on graphs. II. Hermitizations