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

Ashkbiz Danehkar
Faculty of Physics, University of Craiova, 13 Al.I.Cuza Str., 200585 Craiova, Romania
Present Address: School of Mathematics and Physics, Queen’s University, Belfast BT7 1NN, UK

Date: Received 15 March 2008; Revised 5 August 2009

Abstract:

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.
 
Keywords: Relativistic cosmology; Weyl curvature; covariant formalism
 
PACS Nos.: 98.80.-k, 98.80.Jk, 47.75.+f
 
Journal Reference: A. Danehkar, Modern Physics Letters A, 24:3113-3127, 2009. doi:10.1142/S0217732309032046