The quintessence scalar field in the relativistic theory of gravity
Yu.V.Chugreev, M.A. Mestvirishvili, K.A. Modestov

TL;DR
This paper proposes a variant of quintessence theory within relativistic gravity to explain the universe's accelerated expansion, analyzing the scalar field of dark energy and its influence on cosmic evolution.
Contribution
It introduces a new variant of quintessence theory in relativistic gravity and examines the role of the scalar field and potential in cosmic acceleration.
Findings
Function V(Phi) does not affect universe evolution
Derived explicit relations for scalar field dependence on time
Supports accelerated expansion in relativistic gravity framework
Abstract
The variant of the quintessence theory is proposed in order to get an accelerated expansion of the Friedmannian Universe in the frameworks of relativistic theory of gravitation. The substance of quintessence is built up the scalar field of dark energy. It is shown, that function V(Phi), which factorising scalar field Lagrangian (Phi is a scalar field) has no influence on the evolution of the Universe. Some relations, allowing to find explicit dependence Phi on time, were found, provided given function V(Phi).
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