Inertia in the Structure of Space-Time

TL;DR

This paper proposes a new geometrical object in Einstein's equations to unify the description of inertia and gravitation, offering a complete set of mathematical equations for these phenomena.

Contribution

It introduces a novel geometrical object replacing the energy-momentum tensor in Einstein's equations, aiming to unify inertia and gravitation.

Findings

Unified equations for inertia and gravitation derived

Application to centrally symmetrical fields analyzed

Implications for gravitational and inertial phenomena discussed

Abstract

In Einstein's equation we suggest a geometrical object substituting the tensor of energy of impulse and tension. The obtained equation, together with the equation for external field, makes up the complete problem of mathematical equations of gravitation, as well as those of inertia. Based on the example of centrally symmetrical field those problems and their consequences are discussed.