A Formulation of the Gravitational Equation of Motion
| Scientific Paper | |
|---|---|
| Title | A Formulation of the Gravitational Equation of Motion |
| Read in full | Link to paper |
| Author(s) | T Chang |
| Keywords | principle of equivalence, inertial forces, gravitational field |
| Published | 1994 |
| Journal | Apeiron |
| Volume | 1 |
| Number | 20 |
| No. of pages | 3 |
| Pages | 32-35 |
Read the full paper here
Abstract
According to Einstein's principle of equivalence, inertial forces in an accelerated reference system are equivalent to the existence of a gravitational field. In order to formulate the gravitational force as well as inertial forces in explicit form, we introduce two conditions into the 4-D line element and transformations. As a consequence, the equation of motion for gravitational force or inertial force has a form similar to the equation of Lorentz force on a charge in electrodynamics. The inertial forces in non-inertial systems are calculated for two special cases: a uniformly accelerated system, and a uniformly rotating system.