Abstract

The astronomical observations indicate that the universe expands with acceleration and it has a finite particle horizon. The recent CMB observations confirm the universe is homogeneous, isotropic and asymptotically flat. The total gravitational energy of a body having mass m is the gravitational potential energy originating from the gravitational interaction of the body with all masses of the observable universe, i.e. within the particle horizon. The flat geometry of the universe enables to determine the total gravitational energy of the mass m within the framework of the Newtonian gravity in Euclidean space. By this approach, it has been found the modulus of the total gravitational energy of a body is close to its rest energy E = mc 2 , which is a remarkable result. Besides, the smoothed gravitational potential in an arbitrary point of the observable universe appears close to −c 2 , where

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