Relativity and Cosmology

   

Physical Interpretation of Einstein Field Equations and Validation of Energy Hole Model

Authors: P. K. Meher

It presents a novel physical interpretation of the Einstein Field Equations (EFE) by introducing the emph{source-energy tensor} as the negative of the emph{stress-energy tensor} $(E_{muu} = -T_{muu})$ and the emph{strain tensor} as the negative of the emph{Einstein tensor} $(S_{muu} = -G_{muu})$, recasting the field equations as a constitutive relation $E_{muu} = kappa S_{muu}$, where $kappa = c^4/(8pi G)$ plays the role of the stiffness modulus of spacetime. From this formulation, a generalized Poisson equation is derived together with its Newtonian limit, demonstrating full mathematical equivalence with the original EFE while offering a mechanistic explanation of gravitational phenomena. The modified equations align with the Energy Hole Model (EHM), which interprets gravity as the manifestation of energy deficits arising due to the investment of energy during the synthesis of mass, rather than positive energy densities. Within this framework, the Friedmann equations are reformulated with new physical interpretations that naturally explain both the attractive gravity of matter and the repulsive effect of dark energy. This interpretation allows the EHM to resolve key cosmological puzzles, including the nature of dark matter, dark energy, and the cosmological constant problem, while preserving the predictive successes of general relativity, thereby offering a unified and physically intuitive foundation for gravity with potential pathways toward quantum gravity.

Comments: 11 Pages. Minor changes were [made].

Download: PDF

Submission history

[v1] 2025-09-09 20:26:47
[v2] 2025-10-06 20:29:53

Unique-IP document downloads: 492 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