Physical metric and the nature of gravity

TL;DR

This paper introduces a physical metric ensuring measurable light speed throughout spacetime, revealing a repulsive force at short distances and a horizon at 2.60 times the Schwarzschild radius, applicable for advanced general relativistic calculations.

Contribution

It proposes a new physical metric that maintains measurable light speed and predicts a repulsive force and a horizon beyond the Schwarzschild radius, extending general relativity calculations.

Findings

Metric functions are positive definite.

Existence of a horizon at 2.60 times Schwarzschild radius.

Repulsive force at short distances.

Abstract

A physical metric is defined as one which gives a measurable speed of light throughout the whole space time continuum. It will be shown that a metric which satisfies the condition that speed of light on the spherical direction is that in a vacuum gives a correct result. All the metric functions thus obtained are positive definite and exhibits a repulsive force at short distances. The horizon in the sense of vanishing of the speed of light still exists in the radial direction. It is located at 2.60 times of the Schwarzschild radius. This radius corresponds to the size of a black hole, as well as the photon sphere radius. The metric can be used to calculate general relativistic predictions in higher order for any process.