On the Significance of the Weyl Curvature in a Relativistic Cosmological Model
Jul, 200715 pages
Published in:
- Mod.Phys.Lett.A 24 (2009) 3113-3127
- Published: Aug 5, 2009
e-Print:
- 0707.2987 [physics.gen-ph]
View in:
Citations per year
Abstract: (arXiv)
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 that 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.Note:
- 15 pages, incorporating proof corrections
- 98.80.Jk
- 47.75.+f
- 98.80.-k
- Relativistic cosmology
- Weyl curvature
- covariant formalism
References(45)
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