# On Maxwell-like equations for Gravitational Field

## TL;DR

This paper derives Maxwell-like equations for gravitational fields directly from classical physics, demonstrating that electromagnetic concepts like energy density and radiation apply to gravity without relying on General Relativity.

## Contribution

It presents a derivation of Maxwell-like gravitational equations from classical assumptions, avoiding the need for General Relativity approximations.

## Key findings

- Maxwell-like equations for gravity are derived without GR assumptions.
- Electromagnetic concepts such as Poynting vector and energy density are applicable to gravity.
- Gravitational radiation and stress tensors are analogous to electromagnetic counterparts.

## Abstract

For explicitly time depending mass density, which satisfies a continuity equation, it is shown that Maxwell-like equations for gravitational field follow naturally without any need of General Relativity Theory approximation or related assumptions. As a consequences, it is shown that several features already known in Electrodynamics (Poynting vector, density of energy, tensor stress, radiation) are totally reproduced for gravitational field.