Electronic Resource
Springer
International journal of theoretical physics
6 (1972), S. 133-153
ISSN:
1572-9575
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In the usual curved-space description of gravity, a class of fields is defined which correspond to the fields of Newtonian gravitational theory. Using these fields, the field equations of Newtonian theory are formulated in a four-dimensional metric space. The equations are then modified so that they transform properly under the Lorentz transformation and so that their weak-field approximation is closely analogous to the equations of classical electrodynamics. The resulting equations lead to Newtonian theory in the non-relativistic limit, and they lead rigorously to the Schwarzschild field and to the known relativistic corrections associated with it. Finally, these field equations are compared with Einstein's field equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00670425
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