TL;DR
This paper explores a Weyl conformal geometry-based cosmological model, demonstrating dust matter presence despite conformal invariance and revealing continuous dust particle creation.
Contribution
It introduces a cosmological model within Weyl conformal geometry allowing dust matter and describes its non-conservation and creation law.
Findings
Dust matter exists despite conformal invariance.
Dust particles are continuously produced in this model.
The general law for dust creation is derived.
Abstract
The homogeneous and isotropic cosmological model in the Weyl conformal geometry is considered. We showed that, despite the conformal invariance, the dust matter is allowed in such a universe. It is shown that the number of dust particles is not conserved, i. e., they are continuously produced. The general form of the law for their creation is found.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Advanced Mathematical Theories and Applications