# Nonlocal Gravitomagnetism

## TL;DR

This paper explores nonlocal gravity's theoretical framework, focusing on gravitomagnetic fields of rotating sources in the weak-field limit, and compares these results with standard general relativity's gravitoelectromagnetism.

## Contribution

It provides a linear approximation analysis of gravitomagnetic fields in nonlocal gravity and compares them with classical GEM predictions, advancing understanding of nonlocal gravitational effects.

## Key findings

- Nonlocal gravity predicts modifications to gravitomagnetic fields.
- Results show differences from standard GEM in weak-field approximation.
- Energy-momentum content of the GEM field is analyzed in the nonlocal context.

## Abstract

We briefly review the current status of nonlocal gravity (NLG), which is a classical nonlocal generalization of Einstein's theory of gravitation based on a certain analogy with the nonlocal electrodynamics of media. Nonlocal gravity thus involves integro-differential field equations and a causal constitutive kernel that should ultimately be determined from observational data. We consider the stationary gravitational field of an isolated rotating astronomical source in the linear approximation of nonlocal gravity. In this weak-field and slow-motion approximation of NLG, we describe the gravitomagnetic field associated with the rotating source and compare our results with gravitoelectromagnetism (GEM) of the standard general relativity theory. Moreover, we briefly study the energy-momentum content of the GEM field in nonlocal gravity.