Gravitational Forces with Strongly Localized Retardation

TL;DR

This paper demonstrates that gravitational forces exhibit retardation effects near the source, especially when the source's oscillation amplitude is comparable to the distance, challenging previous assumptions about near-zone gravitational behavior.

Contribution

It provides a solution to the linearized Einstein equations for oscillating masses and shows gravitational retardation occurs in the near zone, proposing an experiment to observe this phenomenon.

Findings

Gravitational retardation is significant when d/r ≈ 1.

Counterarguments against near-zone retardation do not hold in this regime.

An experimental setup is proposed to detect propagating gravitational fields.

Abstract

We solve the linearized Einstein equations for a specific oscillating mass distribution and discuss the usual counterarguments against the existence of observable gravitational retardations in the "near zone", where d/r << 1 (d = oscillation amplitude of the source, r = distance from the source). We show that they do not apply in the region d/r \approx 1, and prove that gravitational forces are retarded in the immediate vicinity of the source. An experiment to measure this retardation is proposed, which may provide the first direct experimental observation of propagating gravitational fields.