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arXiv · 2512.10850

F(R,..) theories from the point of view of the Hamiltonian approach: non-vacuum Anisotropic Bianchi type I cosmological model

J. Socorro·Juan Luis Pérez·Luis Rey Díaz-Barrón·Abraham Espinoza García·Sinuhé Pérez Payán
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Abstract

In this work, we will explore the effects of F(R) theories in the classical scheme using the anisotropic Bianchi Type I cosmological model with standard matter employing a barotropic fluid with equation of state $P=\gamma \rho$. In this work we present the classical solutions in two gauge, N=1 and $N=6ABCD=6\eta^3D$ obtaining some results that are usually used as ansatz to solve the Einstein field equation. For completeness, we present the solutions in vacuum as well.

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J. Socorro, Juan Luis Pérez, Luis Rey Díaz-Barrón, Abraham Espinoza García, Sinuhé Pérez Payán. 2025-12-11. F(R,..) theories from the point of view of the Hamiltonian approach: non-vacuum Anisotropic Bianchi type I cosmological model. https://arxiv.org/abs/2512.10850

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