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arxiv: 1906.09043 · v1 · submitted 2019-06-21 · 🌀 gr-qc · hep-th

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Approaching a spacetime singularity in conformal gravity

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classification 🌀 gr-qc hep-th
keywords particlesspacetimeconformalconformallycoupledfinitegravitymassive
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We hereby show that the Kasner spacetime turns out to be singularity-free in Einstein's conformal gravity in vacuum or in presence of matter. Such a statement is based on the regularity of the curvature invariants and on the geodesic completion of the spacetime when it is probed by massive, massless, and conformally coupled particles. As a universal feature of the regular metric, nothing can reach the singularity located in t=0 in a finite amount of proper time (for massive particles and conformally coupled particles) or for finite values of the affine parameter (for massless particles).

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