|
|
 |
| |
|
|
|
Construction of Dynamical Field Equation for Circular- Cylindrical Bodies |
|
|
|
PP: 1-4 |
|
|
|
Author(s) |
|
|
|
M. M. Azos,
A. U. Maaisalatee,
U. Rilwan,
S. Muhammad,
S. H. Jada,
M. U. Sarki,
|
|
|
|
Abstract |
|
|
| Newton published his dynamical theory of Gravitation in the year 1686. According to Newton’s famous dynamical theory, all interactions in nature are as a result of force. This theory was successful in explaining the gravitational phenomena on earth and the experimental fact of the solar system. It is well known that Newton’s dynamical laws of motion and gravitation are founded in terms of invariant rest masses of particles and bodies and cannot be applied to a photon which has no measurable rest mass. There were several attempts at the end of the 19th century to generalize or extend Newton’s dynamical theory of gravitation in order to provide better agreement with the experimental data or better consistency to all physical theories and most of these theories are based on the spherical nature of the Earth. In this research work we constructed the laplacian operator for circular cylindrical coordinate using the covariant and the contravariant metric tensors for this field. The constructed laplacian operator was later used in the derivation of dynamical
gravitational field equation for circular-cylindrical bodies. The field equation obtained contains and a density
term contribution which are not found in the existing well-known Newton’s dynamical field equations. This field equation differs from the well-known field equation for spherical bodies.
|
|
|
|
|
|
|
|
