ON THE SIGNIFICANCE OF THE WEYL CURVATURE IN A RELATIVISTIC COSMOLOGICAL MODEL

2007/07/31 by A. Danehkar, Ashkbiz Danehkar · 1 citation
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Field (mathematics) #Geometry #Gravitation #Gravitational field #Gravitational wave #Mathematical physics #Newtonian fluid #Physics #Pure mathematics #Relativity and Gravitational Theory #Theoretical physics #gr-qc #physics.gen-ph

paper · pdf · doi:10.1142/s0217732309032046

published as Mod.Phys.Lett.A24:3113-3127,2009 · 15 pages, incorporating proof corrections

openalex publication_date 2009/12/14 · arxiv created 2017/01/17 · arxiv updated 2017/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Determination of frame-dragging using Earth gravity models from CHAMP and GRACE
• The Large Scale Structure of Space-Time
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
• Multipole expansions of gravitational radiation
• Covariant and gauge-invariant approach to cosmological density fluctuations
• A confirmation of the general relativistic prediction of the Lense–Thirring effect
• Relativistic Cosmology. I
• The Confrontation between General Relativity and Experiment

Cited by

• Weyl tensor [wikipedia]

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