A Note on the Gravitoelectromagnetic Analogy

We discuss the linear gravitoelectromagnetic approach used to solve Einstein’s equations in the weak-field and slow-motion approximation, which is a powerful tool to explain, by analogy with electromagnetism, several gravitational effects in the solar system, where the approximation holds true. In p...

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Autor principal: Matteo Luca Ruggiero
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/d551607b3dfb4ca39f4f5653799d11e6
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spelling oai:doaj.org-article:d551607b3dfb4ca39f4f5653799d11e62021-11-25T19:09:55ZA Note on the Gravitoelectromagnetic Analogy10.3390/universe71104512218-1997https://doaj.org/article/d551607b3dfb4ca39f4f5653799d11e62021-11-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/451https://doaj.org/toc/2218-1997We discuss the linear gravitoelectromagnetic approach used to solve Einstein’s equations in the weak-field and slow-motion approximation, which is a powerful tool to explain, by analogy with electromagnetism, several gravitational effects in the solar system, where the approximation holds true. In particular, we discuss the analogy, according to which Einstein’s equations can be written as Maxwell-like equations, and focus on the definition of the gravitoelectromagnetic fields in non-stationary conditions. Furthermore, we examine to what extent, starting from a given solution of Einstein’s equations, gravitoelectromagnetic fields can be used to describe the motion of test particles using a Lorentz-like force equation.Matteo Luca RuggieroMDPI AGarticlegravitomagnetismrelativitygravityElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 451, p 451 (2021)
institution DOAJ
collection DOAJ
language EN
topic gravitomagnetism
relativity
gravity
Elementary particle physics
QC793-793.5
spellingShingle gravitomagnetism
relativity
gravity
Elementary particle physics
QC793-793.5
Matteo Luca Ruggiero
A Note on the Gravitoelectromagnetic Analogy
description We discuss the linear gravitoelectromagnetic approach used to solve Einstein’s equations in the weak-field and slow-motion approximation, which is a powerful tool to explain, by analogy with electromagnetism, several gravitational effects in the solar system, where the approximation holds true. In particular, we discuss the analogy, according to which Einstein’s equations can be written as Maxwell-like equations, and focus on the definition of the gravitoelectromagnetic fields in non-stationary conditions. Furthermore, we examine to what extent, starting from a given solution of Einstein’s equations, gravitoelectromagnetic fields can be used to describe the motion of test particles using a Lorentz-like force equation.
format article
author Matteo Luca Ruggiero
author_facet Matteo Luca Ruggiero
author_sort Matteo Luca Ruggiero
title A Note on the Gravitoelectromagnetic Analogy
title_short A Note on the Gravitoelectromagnetic Analogy
title_full A Note on the Gravitoelectromagnetic Analogy
title_fullStr A Note on the Gravitoelectromagnetic Analogy
title_full_unstemmed A Note on the Gravitoelectromagnetic Analogy
title_sort note on the gravitoelectromagnetic analogy
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/d551607b3dfb4ca39f4f5653799d11e6
work_keys_str_mv AT matteolucaruggiero anoteonthegravitoelectromagneticanalogy
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