Four Poission-Laplace Theory of Gravitation (I)

摘要: The Poisson-Laplace equation is a working and acceptable of gravitation which mostly used or applied in its differential form Magneto-Hydro-Dynamic (MHD) modelling e.g. molecular clouds. From general relativistic standpoint, it describes gravitational fields the region low spacetime curvature as emerges weak field limit. For non-static fields, this not generally covariant. On requirements covariance, can be extended to include time-dependent component, case one led Four equation. We solve for radial solutions, apart from Newtonian we obtain four new solutions leading components capable (in-principle) explaining Pioneer anomaly, Titius-Bode Law formation planetary rings. In letter, focus only on writing down these solutions. task showing that might explain aforesaid anomalies has been left separate future readings.