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arXiv · 2201.12189

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

Andronikos Paliathanasis·Genly Leon
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Abstract

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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Andronikos Paliathanasis, Genly Leon. 2022-01-28. $f(T,B)$ gravity in a Friedmann-Lema\^{\i}tre-Robertson-Walker universe with nonzero spatial curvature. https://doi.org/10.1002/mma.8728

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