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<p>Bianchi I cosmological solutions in <i>f</i>(<i>T</i>) gravity are discussed. We start from diagonal metrics and tetrads and show that their dynamical equations are pretty much tractable analytically, with a possible arena for physical applications. Then we derive a very bad unpredictability of the teleparallel connection in these configurations. Namely, even for the simple isotropic Friedmann universes, one might apply an arbitrary time-dependent spatial rotation to the standard tetrad of Weitzenböck gauge without changing anything in the cosmological equations.</p>

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More on Bianchi I spacetimes and f(T) gravity

  • 期刊论文

  • 发表日期：

    2026年2月19日

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  • Alexey Golovnev,
  • Mustafa M. Hemida

摘要

Bianchi I cosmological solutions in f(T) gravity are discussed. We start from diagonal metrics and tetrads and show that their dynamical equations are pretty much tractable analytically, with a possible arena for physical applications. Then we derive a very bad unpredictability of the teleparallel connection in these configurations. Namely, even for the simple isotropic Friedmann universes, one might apply an arbitrary time-dependent spatial rotation to the standard tetrad of Weitzenböck gauge without changing anything in the cosmological equations.