Cosmological solutions of a chiral self-gravitating model of F(R, (R)2,R) gravity

Chaadaeva T.I.; Chervon S.V.; Чаадаева Т.И.; Червон С.В.

doi:10.17238/issn2226-8812.2024.2.4-17

Scientific articles \ Mathematics. Natural sciences \ Physics

Cosmological solutions of a chiral self-gravitating model of F(R, (R)2,R) gravity

Chaadaeva T.I. Chervon S.V.

Journal: Пространство, время и фундаментальные взаимодействия @stfi

Section: Гравитация, космология и фундаментальные поля

Article in issue: 2 (47), 2024.

Free access

We study modified 𝑓(𝑅, (∇𝑅)2,□𝑅) gravity and show in detail how it can be reduced to Einstein gravity with a few scalar fields and then represented in the form of chiral self-gravitating model of the special type. In further investigation of the model we focus on cosmology and looking for solutions of the dynamic equations of chiral fields and the Einstein-Friedman equations in the Friedman-Robertson-Walker space-time. Exact solutions of the considered model for zero and constant potential are found. Between them power law solution corresponded to equation of state for stiff matter, de Sitter solution, trigonometric and hyperbolic expansion solution. Various type of chiral fields evolution support listed above solutions.

chiral cosmological model \ scalar-tensor and 𝑓(𝑅) gravity theory

Космологические решения киральной самогравитирующей модели F(R, (R)2,R) гравитации

Мы изучаем модифицированную гравитацию 𝑓(𝑅, (∇𝑅)2,□𝑅) и подробно показываем, как ее можно свести к эйнштейновской гравитации с помощью нескольких скалярных полей, а затем представить в виде киральной самогравитирующей модели специального типа. В дальнейшем исследовании модели мы сосредоточимся на космологии и поиске решений динамических уравнений киральных полей и уравнений Эйнштейна-Фридмана в пространстве-времени Фридмана-Робертсона-Уокера. Найдены точные решения рассматриваемой модели для нулевого и постоянного потенциала. Между ними степенное решение, соответствующее уравнению состояния Вселенной с преобладанием излучения, решение де Ситтера, тригонометрическое и гиперболическое решение с расширением. Различные типы эволюции киральных полей поддерживают перечисленные выше решения.

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Cosmological solutions of a chiral self-gravitating model of F(R, (R)2,R) gravity

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References Cosmological solutions of a chiral self-gravitating model of F(R, (R)2,R) gravity