Simple Gravity II: Field Equation and Spherical Solution

This work introduces the nonlinear scalar field equation underlying the Simple Gravity framework: ∇²Φ = 4πGρ + (1/c²)(∇Φ)². An exact spherically symmetric solution is derived, recovering the Newtonian limit at large distances while incorporating nonlinear corrections near massive bodies. This establishes the field-theoretic foundation of the theory. This is the second paper in the Simple Gravity series.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-23
DOI
https://doi.org/10.5281/zenodo.19210335
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Simple Gravity II: Field Equation and Spherical Solution

Ednilson Rodrigues
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Simple Gravity II: Field Equation and Spherical Solution

Ednilson Rodrigues
article en

Abstract

This work introduces the nonlinear scalar field equation underlying the Simple Gravity framework: ∇²Φ = 4πGρ + (1/c²)(∇Φ)². An exact spherically symmetric solution is derived, recovering the Newtonian limit at large distances while incorporating nonlinear corrections near massive bodies. This establishes the field-theoretic foundation of the theory. This is the second paper in the Simple Gravity series.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 7%
Cosmology and Gravitation Theories
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