Full Length Research Paper
Abstract
The coupling constant in the gravitational field equation
is calculated based on a prior assumption that the pressure is zero under weak field approximation which has logical defect. It is precisely this deficiency that leads to infinite pressure inside celestial bodies and some singularities that should not have appeared. This article first proves that under the weak field approximation, the pressure acting as a gravitational source is negative and has the following relation with density namely
. Then based on this premise the coupling constant in the gravitational field equation is modified from the original
to the present
, improved and perfected the theoretical foundation of gravitation. Turn out a new cosmic evolution model of the continuous generation of matter, cyclic expansions and eliminate the based difficulties in existing gravitational theory and cosmology. Derive a new relation between distance and red-shift consistent with observation and show that the universe is alive and galaxies or celestial bodies are continuously growing with cosmic expansion, provide formulas for the evolution of their mass and radius over time, and demonstrate that dark energy is the binding energy within matter rather than the independent entities.
Key words: Field equation coupling constant, weak field approximation, negative pressure
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