Relativity and Cosmology

   

On The Dynamics Of The Gravitational Field And Higher Order Field Equations

Authors: D.E. Thomas

Einstein’s General Relativity, while extraordinarily successful in explaining gravitational phenomena, faces challenges addressing certain cosmological observations demonstrated by galaxy roation curves and the expansion of the universe. 2014 Poplawski presented a higher order model of gravitation that reframes the gravitational field in terms of the connection, with the curvature tensor as the field strength. I reconsider the action in this model is based on the squared norm ofthe field strength. Through analysis of the Euler-Lagrange equations, particularly focusing on the metric equations, I demonstrate that Einstein’s field equations emerge as a limiting case within a more comprehensive framework. Analyzing the field equations of the gravitational field, as the connection, I calculate corrections. Global corrections produce a term that replaces the dark energy sector with a geometric term. Local corrections take the form of a Yukawa potential. D’Agostino et al. showed that a Yukawa correction can account for the rotational velocities of galaxies without dark matter. Thus this broader framework provides explanations for observed experimental discrepancies without exotic materia, while maintaining consistency with established gravitational phenomena.

Comments: 19 Pages. New version - edits made after peer review

Download: PDF

Submission history

[v1] 2025-05-18 00:52:37
[v2] 2025-10-06 15:31:16

Unique-IP document downloads: 275 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus