Gao, Shan (2025) Can Singularities Be Avoided in Lorentzian-Euclidean Black Holes? [Preprint]

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Abstract

We critically examine the revised general relativity (GR) framework proposed by Capozziello, De Bianchi, and Battista \cite{Capozziello2025}. The authors introduce a Lorentzian-Euclidean Schwarzschild metric with a signature change at the event horizon ($ r = 2M $), claiming that radial geodesics halt at $ r = 2M $ with infinite proper time, avoiding the singularity at $ r = 0 $. We argue that their framework lacks physical justification, producing unphysical dynamics in the Lorentzian region ($ r > 2M $), where the metric is identical to Schwarzschild. Their revisions violate fundamental GR principles—including the equivalence principle, energy conservation, geodesic well-definedness, and consistency with the metric's geometry—without empirical or theoretical grounding. Notably, their modified energy definition and geodesic equation yield an infinite proper time, contradicting GR's finite result. We address the potential defense that these violations are expected in a revised GR, demonstrating that their framework’s deviations are ad hoc and undermine its validity as a physically meaningful extension.

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Item Type:	Preprint
Creators:	Creators Email ORCID Gao, Shan sgao7319@uni.sydney.edu.au
Keywords:	general relativity; black hole; singularity; event horizon
Subjects:	Specific Sciences > Physics > Cosmology Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Prof. Shan Gao
Date Deposited:	21 May 2025 12:30
Last Modified:	21 May 2025 12:30
Item ID:	25387
Subjects:	Specific Sciences > Physics > Cosmology Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances
Date:	21 May 2025
URI:	https://philsci-archive.pitt.edu/id/eprint/25387

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