Abstract
A covariant theory of gravitation in flat space-time is stated and compared with general relativity. The results of the theory of gravitation in flat space-time and of general relativity agree for weak gravitational fields to low approximations. For strong fields the results of the two theories deviate from one another. Flat space-time theory of gravitation gives under some natural assumptions non-singular cosmological models with a flat space. The universe contracts to a positive minimum and then it expands for all times. Shortly, after the minimum is reached, the cosmological models of two theories approximately agree with one another if models in general relativity with zero curvature are considered. A flat space is proved by experiments.
Highlights
A previously studied covariant theory of gravitation in flat space-time is stated [1]
The source of the gravitational field is the total energy-momentum of all the fields inclusive that of gravitation
The theory of flat space-time theory is applied to homogeneous, isotropic cosmological models where only matter and radiation are considered
Summary
A previously studied covariant theory of gravitation in flat space-time is stated [1]. The energy-momentum of the gravitational field is a tensor. This is quite different from general relativity for which the energy-momentum of gravitation is not a tensor. The energy-momentum of the gravitational field cannot explicitly appear as source by virtue of the covariance of general relativity.
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