The Gravitational Magnetoelectric Effect

Electromagnetism in spacetime can be treated in terms of an analogue linear dielectric medium. In this paper, we discuss the gravitational analogue of the linear magnetoelectric effect, which can be found in multiferroic materials. While this is known to occur for metrics with non-zero mixed compone...

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Main Authors: Gary W. Gibbons, Marcus C. Werner
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/5/4/88
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author Gary W. Gibbons
Marcus C. Werner
author_facet Gary W. Gibbons
Marcus C. Werner
author_sort Gary W. Gibbons
collection DOAJ
description Electromagnetism in spacetime can be treated in terms of an analogue linear dielectric medium. In this paper, we discuss the gravitational analogue of the linear magnetoelectric effect, which can be found in multiferroic materials. While this is known to occur for metrics with non-zero mixed components, we show how it depends on the choice of spatial formalism for the electromagnetic fields, including differences in tensor weight, and also on the choice of coordinate chart. This is illustrated for Langevin–Minkowski, four charts of Schwarzschild spacetime, and two charts of pp gravitational waves.
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spelling doaj.art-3990c41b4b3f43f49ad2cbffa139fb822022-12-22T04:20:12ZengMDPI AGUniverse2218-19972019-04-01548810.3390/universe5040088universe5040088The Gravitational Magnetoelectric EffectGary W. Gibbons0Marcus C. Werner1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UKCenter for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho Sakyoku, Kyoto 606-8502, JapanElectromagnetism in spacetime can be treated in terms of an analogue linear dielectric medium. In this paper, we discuss the gravitational analogue of the linear magnetoelectric effect, which can be found in multiferroic materials. While this is known to occur for metrics with non-zero mixed components, we show how it depends on the choice of spatial formalism for the electromagnetic fields, including differences in tensor weight, and also on the choice of coordinate chart. This is illustrated for Langevin–Minkowski, four charts of Schwarzschild spacetime, and two charts of pp gravitational waves.https://www.mdpi.com/2218-1997/5/4/88magnetoelectric effectgeneral relativityanalogue models
spellingShingle Gary W. Gibbons
Marcus C. Werner
The Gravitational Magnetoelectric Effect
Universe
magnetoelectric effect
general relativity
analogue models
title The Gravitational Magnetoelectric Effect
title_full The Gravitational Magnetoelectric Effect
title_fullStr The Gravitational Magnetoelectric Effect
title_full_unstemmed The Gravitational Magnetoelectric Effect
title_short The Gravitational Magnetoelectric Effect
title_sort gravitational magnetoelectric effect
topic magnetoelectric effect
general relativity
analogue models
url https://www.mdpi.com/2218-1997/5/4/88
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