Relativity: The Special and General Theory by Albert Einstein is part of HackerNoon’s Book Blog Post series. - science physics
CHAPTER XXIX. THE SOLUTION OF THE PROBLEM OF GRAVITATION ON THE BASIC OF THE GENERAL PRINCIPLE OF RELATIVITY
Now let us refer this domain to a random Gauss coordinate system or to a “mollusc” as reference-body K′. Then with respect to K′ there is a gravitational field G . We learn the behavior of measuring-rods and clocks and also of freely-moving material points with reference to K′ simply by mathematical transformation. We interpret this behaviour as the behaviour of measuring-rods, docks and material points u nder the influence of the gravitational field G.
The required generalisation must likewise satisfy the general postulate of relativity.If there is any matter in the domain under consideration, only its inertial mass, and thus according to Sectiononly its energy is of importance for its effect in exciting a field.Gravitational field and matter together must satisfy the law of the conservation of energy .
If we confine the application of the theory to the case where the gravitational fields can be regarded as being weak, and in which all masses move with respect to the coordinate system with velocities which are small compared with the velocity of light, we then obtain as a first approximation the Newtonian theory.
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