Título
Post-Newtonian limit: second-order Jefimenko equations
Autor
AMADO AUGUSTO ESPINOZA GARRIDO
Augusto Espinoza
Nivel de Acceso
Acceso Abierto
Materias
Resumen o descripción
The purpose of this paper is to get second-order
gravitational equations, a correction made to Jefimenko’s
linear gravitational equations. These linear equations were
first proposed by Oliver Heaviside in [1], making an analogy
between the laws of electromagnetism and gravitation. To
achieve our goal, we will use perturbation methods on Einstein field equations. It should be emphasized that the resulting system of equations can also be derived from Logunov’s
non-linear gravitational equations, but with different physical
interpretation, for while in the former gravitation is considered as a deformation of space-time as we can see in [2–5], in the latter gravitation is considered as a physical tensor field
in the Minkowski space-time (as in [6–8]). In Jefimenko’s
theory of gravitation, exposed in [9,10], there are two kinds
of gravitational fields, the ordinary gravitational field, due
to the presence of masses, at rest, or in motion and other
field called Heaviside field due to and acts only on moving
masses. The Heaviside field is known in general relativity as
Lense-Thirring effect or gravitomagnetism (The Heaviside
field is the gravitational analogous of the magnetic field in the
electromagnetic theory, its existence was proved employing
the Gravity Probe B launched by NASA (See, for example,
[11,12]). It is a type of gravitational induction), interpreted
as a distortion of space-time due to the motion of mass distributions, (see, for example [13,14]). Here, we will present our second-order Jefimenko equations for gravitation and its solutions.
Producción Científica de la Universidad Autónoma de Zacatecas UAZ
Fecha de publicación
23 de julio de 2020
Tipo de publicación
Artículo
Recurso de información
Formato
application/pdf
Idioma
Inglés
Audiencia
Público en general
Repositorio Orígen
Repositorio Institucional Caxcán
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