Kinematics and World-Structure II.
Abstract
The equations of motion of a test particle in an idealized universe satisfying the cosmological principle are obtained from the standpoint of the general kinematics developed in Part I of this paper, and are found to be determinate only to within an arbitrary function I' of two variables. Their integration is reduced, in principle, to the solution of a single first-order ordinary differential equation. The acceleration function I' is determined and the integration completed upon imposing (a), the general relativistic theory of gravitation, thus showing the consistency of the general kinematics here developed with that theory, and also upon imposing (b), any suitable adaptation of the Newtonian theory of gravitation, illustrated in detail by a relativistic extension applicable to the case in which the total mass of the fundamental particles (nebulae) is finite
- Publication:
-
The Astrophysical Journal
- Pub Date:
- April 1936
- DOI:
- 10.1086/143716
- Bibcode:
- 1936ApJ....83..187R