V. S. Leonov
It is shown that
the four-dimensional space-time convenient to characterize the four-dimensional
gravitational action potential C2.
Then dC2 may be a new
invariant in addition to the known invariant ds2. In this case, the speed of light С can be expressed
by a complex number. The square modulus 
of the speed of light C defines the gravitational potentials balance 
inside of the four-dimensional space time
perturbed by gravity. The gravitational potentials balance describes the state
of an elementary particle inside the gravitational well. Newton's classical
gravitational potential φ indicates the depth of the gravitational well. The
action potential C2 indicates
the depth of the four-dimensional space-time. The introduction of the
potentials of С2 and does not
change of Newton's law of universal gravitation for force gravity which
is directed at the "bottom" of the gravitational well. There is shown
that dark energy and dark matter is a manifestation of the deformation
(curvature) of four-dimensional space time. Our four-dimensional Universe is
homogeneous and is not flat but has a curvature thereby determining the effect
of gravity and antigravity.
of the speed of light C defines the gravitational potentials balance inside of the four-dimensional space time
perturbed by gravity. The gravitational potentials balance describes the state
of an elementary particle inside the gravitational well. Newton's classical
gravitational potential φ indicates the depth of the gravitational well. The
action potential C2 indicates
the depth of the four-dimensional space-time. The introduction of the
potentials of С2 and does not
change of Newton's law of universal gravitation for force gravity which
is directed at the "bottom" of the gravitational well. There is shown
that dark energy and dark matter is a manifestation of the deformation
(curvature) of four-dimensional space time. Our four-dimensional Universe is
homogeneous and is not flat but has a curvature thereby determining the effect
of gravity and antigravity.
PACS numbers: 04.20.-q;
03.30.+p
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