General Relativity from conservation laws without the principle of least action

TL;DR

This paper demonstrates that Einstein's field equations can be derived solely from energy-momentum conservation laws, bypassing the traditional least action principle, and introduces a new perturbative method for deriving gravitational energy-momentum.

Contribution

It presents a novel approach to derive general relativity's field equations from conservation laws alone, without relying on the principle of least action.

Findings

Field equations derived from conservation laws

New perturbative method for gravitational energy-momentum

Elimination of least action principle in derivation process

Abstract

We prove that the field equations of general relativity and other metric theories can be derived from the conservation of energy-momentum without using the assumption of least action principle. We show a new procedure for perturbative derivation of symmetric pseudo-energy momentum for the gravity field.