New embedding of Schwarzschild geometry. I. Exterior solution

TL;DR

This paper introduces a novel five-dimensional embedding of Schwarzschild spacetime using two surfaces, providing covariant equations for gravitational forces, advancing geometric understanding of black hole solutions.

Contribution

It presents a new minimal embedding of Schwarzschild geometry in five dimensions with a covariant formulation of gravitational forces.

Findings

Successful embedding of Schwarzschild spacetime in five dimensions.

Derivation of covariant gravitational force equations.

Potential applications in geometric and gravitational studies.

Abstract

We propose a global minimal embedding of the Schwarzschild theory in a five-dimensional flat space by using two surfaces. Covariant field equations are deduced for the gravitational forces.