$f(T,B)$ gravity in a Friedmann-Lema\^{\i}tre-Robertson-Walker universe with nonzero spatial curvature

Andronikos Paliathanasis (DUT; Chile Austral U.; Durban; Durban); DUT; Genly Leon (Catolica del Norte U.; Valdivia)

f(T,B) gravity in a Friedmann-Lema\^(i)tre-Robertson-Walker universe with nonzero spatial curvature

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arxiv 2201.12189 v2 pith:635U2U7C submitted 2022-01-28 gr-qc hep-th

f(T,B) gravity in a Friedmann-Lema\^(i)tre-Robertson-Walker universe with nonzero spatial curvature

Andronikos Paliathanasis (DUT , Durban , Chile Austral U. , Valdivia) , Genly Leon (Catolica del Norte U. , DUT , Durban) This is my paper

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We investigate exact solutions and the asymptotic dynamics for the Friedmann-Lema\^{\i}tre-Robertson-Walker universe with nonzero spatial curvature in the fourth-order modified teleparallel gravitational theory known as $f\left( T, B\right) $ theory. We show that the field equations admit a minisuperspace description, and they can reproduce any exact form of the scale factor. Moreover, we calculate the equilibrium points and analyze their stability. We show that Milne and Milne-like solutions are supported, and the de Sitter universe is provided. To complete our analysis, we use Poincar\'e variables to investigate the dynamics at infinity.

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