Vacuum C-metric and the Gravitational Stark Effect
Donato Bini, Christian Cherubini, Bahram Mashhoon

TL;DR
This paper explores the vacuum C-metric as a model for an accelerating gravitational source, investigates wave phenomena on this background, and links scalar perturbations to the gravitational Stark effect, with implications for the Pioneer anomaly.
Contribution
It provides a physical interpretation of the vacuum C-metric and connects scalar perturbations to the gravitational Stark effect, extending understanding of accelerating spacetimes.
Findings
Scalar perturbations correspond to the gravitational Stark effect
Wave phenomena are analyzed on the linearized C-metric background
Potential implications for the Pioneer anomaly are discussed
Abstract
We study the vacuum C-metric and its physical interpretation in terms of the exterior spacetime of a uniformly accelerating spherically - symmetric gravitational source. Wave phenomena on the linearized C-metric background are investigated. It is shown that the scalar perturbations of the linearized C-metric correspond to the gravitational Stark effect. This effect is studied in connection with the Pioneer anomaly.
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