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Dark energy as a solution of the basic gravitational equation without the cosmological constant

N. Popov,I. Matveev,V. Tsurkov

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS（2022）

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Abstract
Based on the analysis of the gravitational equation of a special form that does not contain a cosmological constant, a linear relationship is established between the scalar curvature of space and the density of the mass of matter. For a space with a Friedman-type metric there is a solution that confirms the existence of a dark energy.
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Key words
gravitational equation,discontinuous scalar curvature,Friedman model,dark energy
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