Abstract
The effect of the propagation delay of gravitational interactions results in a singularity of the normalized acceleration of the radius of a sphere representing the Universe. Stephen Hawking in his Inflation Model also discusses a delay type interaction. This term can be used to model the inflationary rapid expansion of the early Universe. Since the Universe is thought to occupy all of space-time, one cannot define a boundary or radius of the Universe. Therefore, the properties of a sphere in the Universe are analyzed. It is assumed that the Universe will behave similarly to this sphere. This analysis is performed by including the effect of the propagation delay of gravitational interactions in Einstein’s equation.
Highlights
This analysis is performed by including the effect of the propagation delay of gravitational interactions in Einstein’s equation
The General Relativity Theory model [1] considers that the Universe occupies all of space-time
In order to analyze the problem of the expansion of the Universe, one can define a four-dimensional sphere in this Universe or in space-time [3]
Summary
The surface of the balloon like the Universe, has no boundary or radius. The dots will move away from each other like the galaxies move away from each other in the expanding Universe. Since the balloon’s surface behaves as the circular surface, this calculation describes the expansion of the surface of the balloon. In order to analyze the problem of the expansion of the Universe, one can define a four-dimensional sphere in this Universe or in space-time [3]. The sphere has a boundary and a conventional radius at a particular time. This is similar to the circular surface on the balloon. The Universe will behave as the sphere in the Universe [3]
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