A complementary covariant approach to gravito-electromagnetism

TL;DR

This paper introduces an alternative modified gravitational theory within the gravito-electromagnetic framework, analyzing its equations of motion, energy conservation, and providing a unified Lagrangian formulation for future research.

Contribution

It presents a new modified gravitational theory extending previous gravito-electromagnetic descriptions with a simplified Lagrangian approach.

Findings

Analysis of vector and tensor equations of motion

Conservation laws and energy-momentum tensor formulation

Unified Lagrangian formulation for the theory

Abstract

From a previous paper where we proposed a description of general relativity within the gravito-electromagnetic limit, we propose an alternative modified gravitational theory. As in the former version, we analyze the vector and tensor equations of motion, the gravitational continuity equation, the conservation of the energy, the energy-momentum tensor, the field tensor, and the constraints concerning these fields. The Lagrangian formulation is also exhibited as an unified and simple formulation that will be useful for future investigation.