# Gravity between Newton and Einstein

## TL;DR

This paper shows that classical tests of general relativity can be explained by an extended Newtonian gravity theory incorporating gravitational time dilation, derived from a covariant large speed of light expansion of Einstein's gravity.

## Contribution

It introduces a non-relativistic gravity framework that reproduces key relativistic effects without assuming weak fields, derived from Einstein's theory.

## Key findings

- Successfully passes perihelion precession test
- Accurately predicts light deflection
- Explains gravitational redshift within a Newtonian extension

## Abstract

Statements about relativistic effects are often subtle. In this essay we will demonstrate that the three classical tests of general relativity, namely perihelion precession, deflection of light and gravitational redshift, are passed perfectly by an extension of Newtonian gravity that includes gravitational time dilation effects while retaining a non-relativistic causal structure. This non-relativistic gravity theory arises from a covariant large speed of light expansion of Einstein's theory of gravity that does not assume weak fields and which admits an action principle.