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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MDPI AG
2021
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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) |
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gravitomagnetism relativity gravity Elementary particle physics QC793-793.5 |
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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 AT matteolucaruggiero noteonthegravitoelectromagneticanalogy |
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