On the Significance of the Weyl Curvature in a Relativistic Cosmological Model

Details On the Significance of the Weyl Curvature in a Relativistic Cosmological Model On the Significance of the Weyl Curvature in a Relativistic Cosmological Model

2007-07-20

arxiv.org/abs/0707.2987v4

Mod.Phys.Lett.A24:3113-3127,2009

Physics

General Physics

11 pages

Scientific paper

10.1142/S0217732309032046

The Weyl curvature includes the Newtonian field and an additional field, the so-called anti-Newtonian. In this paper, we use the Bianchi and Ricci identities to provide a set of constraints and propagations for the Weyl fields. The temporal evolutions of propagations manifest explicit solutions of gravitational waves. We see models with purely Newtonian field are inconsistent with relativistic models and obstruct sounding solutions. Therefore, both fields are necessary for the nonlocal nature and radiative solutions of gravitation.

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