Abstract
By transforming the geodesic equation of the Schwarzschild solution of the Einstein’s equation of gravity field to flat space-time for description, the revised Newtonian formula of gravity is obtained. The formula can also describe the motion of object with mass in gravity field such as the perihelion precession of the Mercury. The space-time singularity in the Einstein’s theory of gravity becomes the original point r = 0 in the Newtonian formula of gravity. The singularity problem of gravity in curved space-time is eliminated thoroughly. When the formula is used to describe the expansive universe, the revised Friedmann equation of cosmology is obtained. Based on it, the high red-shift of Ia supernova can be explained well. We do not need the hypotheses of the universe accelerating expansion and dark energy again. It is also unnecessary for us to assume that non-baryon dark material is 5 - 6 times more than normal baryon material in the universe if they really exist. The problem of the universal age can also be solved well. The theory of gravity returns to the traditional form of dynamic description and becomes normal one. The revised equation can be taken as the foundation of more rational cosmology.
Highlights
Established on the foundation of curved space-time, Einstein’s theory of gravity is the dominate theory at present
It is unnecessary for us to assume that non-baryon dark material is 5 - 6 times more than normal baryon material in the universe if they really exist
We prove below that based on the revised formula (25), the high red shift of supernova can be explained well
Summary
Established on the foundation of curved space-time, Einstein’s theory of gravity is the dominate theory at present. The problems originate from the Friedmann equation which is unsuitable to describe the high speed expansion of the universe. The reason is that two simplified and improper conditions were used in the deduction of the Friedmann equation They are the R-W metric and static energy momentum tensor. Because relative velocities exist between materials and observers in the expansive universe, the equation of cosmology should use dynamic energy momentum tensor, rather than static one as commonly used in the current cosmology. When cosmology develops to present level, we observe the high speed expansion In this case, the Friedmann equation becomes unsuitable for the problems such as the high red-shift of supernova. We can get rid of the current puzzle situation of cosmology completely
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