Nonlocal Gravitomagnetism

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.

24 pages; v2: presentation improved, references added; v3: minor corrections

References in corpus (10)

• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Phenomenology of the Lense-Thirring effect in the Solar System
• Nonlocal Gravity Simulates Dark Matter
• A formal framework for a nonlocal generalization of Einstein's theory of gravitation
• Gravitational Anomalies in the Solar System?
• Nonlocal Modification of Newtonian Gravity
• Nonlocal Gravity: The General Linear Approximation
• On the Possibility of Measuring the Gravitomagnetic Clock Effect in an Earth Space-Based Experiment
• Constitutive law of nonlocal gravity
• Generalized gravitomagnetic clock effect

Cited by in corpus (11)

• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Angle deficit & non-local gravitoelectromagnetism around a slowly spinning cosmic string
• A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
• Gravitomagnetic Helicity
• Dynamical Friction in Nonlocal Gravity
• Prospects for testing the inverse-square law and gravitomagnetism using quantum interference
• Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
• Generalized nonlocal gravity framework based on Poincaré gauge theory
• Gravitoelectromagnetic knot fields
• Nonlocal Gravity: Modification of Newtonian Gravitational Force in the Solar System
• Review of the Gravitomagnetic Clock Effect