TITLE:
Newtonian Gravitational Radiation and Waves
AUTHORS:
Gustavo V. López
KEYWORDS:
Gravitational Field, Maxwell's Equations, Gravitational Waves, Gravitational Radiation Reaction
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.8,
August
6,
2020
ABSTRACT: In this paper, we review historical Maxwell's equation for gravity and recent studies on the lack of curvature of linear dipole gravitational waves. The extended Newton's gravity necessarily has
the continuity equation for the conservation of mass, and with the Gauss' equation associated to gravitational time depending field R, bring about a new field W which resembles the
magnetic field in Electrodynamics. Although this field has not been found yet, its existence comes from a strong mathematical statement, and it is shown that linear dipole gravitational waves have their origin in extended Newton theory of gravity. This is a direct mathematical consequence of Gauss' law and the continuity equation for the density of mass and current, and as a direct result of this, any accelerated mass will emit mainly dipole gravitational radiation. Then, one concludes that dipole gravitational waves can have its origin on the extended Newton's gravity equations.