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Gauge Invariance of Gravitodynamical Potentials in the Jefimenko’s Generalized Theory of Gravitation

Gauge Invariance of Gravitodynamical Potentials in the Jefimenko’s Generalized Theory of Gravitation
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摘要 In the Jefimenko’s generalized theory of gravitation, it is proposed the existence of certain potentials to help us to calculate the gravitational and cogravitational fields, such potentials are also presumed non-invariant under certain gauge transformations. In return, we propose that there is a way to perform the calculation of certain potentials that can be derived without using some kind of gauge transformation, and to achieve this we apply the Helmholtz’s theorem. This procedure leads to the conclusion that both gravitational and cogravitational fields propagate simultaneously in a delayed and in an instant manner. On the other hand, it is also concluded that these potentials thus obtained can be real physical quantities, unlike potentials obtained by Jefimenko, which are only used as a mathematical tool for calculating gravitational and cogravitational fields. In the Jefimenko’s generalized theory of gravitation, it is proposed the existence of certain potentials to help us to calculate the gravitational and cogravitational fields, such potentials are also presumed non-invariant under certain gauge transformations. In return, we propose that there is a way to perform the calculation of certain potentials that can be derived without using some kind of gauge transformation, and to achieve this we apply the Helmholtz’s theorem. This procedure leads to the conclusion that both gravitational and cogravitational fields propagate simultaneously in a delayed and in an instant manner. On the other hand, it is also concluded that these potentials thus obtained can be real physical quantities, unlike potentials obtained by Jefimenko, which are only used as a mathematical tool for calculating gravitational and cogravitational fields.
作者 Augusto Espinoza Andrew Chubykalo David Perez Carlos Augusto Espinoza;Andrew Chubykalo;David Perez Carlos(Unidad Académica de Física, Universidad Autónoma de Zacatecas, Zacatecas, México)
出处 《Journal of Modern Physics》 2016年第13期1617-1626,共10页 现代物理(英文)
关键词 Gravitational Potentials Cogravitation Helmholtz’s Theorem Gravitational Potentials Cogravitation Helmholtz’s Theorem
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