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arXiv 2102.08084gr-qc
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动力挠率重力背景

Dynamical torsion gravity backgrounds

Philippe Spindel

摘要:

我们直接用相对于自然坐标表示的度规和扭曲张量分量来写出挠引力理论的场方程和它们所服从的内瑟恒等式,即不用维尔比恩而用拉格朗日乘子。然后,我们得到这些方程的显式解,在特定ansätze的扭曲场,通过假设度规分别是Bertotti-Robinson,pp-波,Friedmann-Lemaintre-Robertson-Walker或静态球对称类型。在这些不同的解决方案,我们得到其中一些有其扭曲张量依赖于任意函数,不影响他们的几何。这就对理论的可预测性提出了质疑。

英文摘要:

We write the field equations of torsion gravity theories and the Nœther identity they obey directly in terms of metric and contorsion tensor components expressed with respect to natural coordinates, i.e. without using vierbien but Lagrange multipliers. Then we obtain explicit solutions of these equations, under specific ansätze for the contorsion field, by assuming the metric to be respectively of the Bertotti-Robinson, pp-wave, Friedmann-Lemaître-Robertson-Walker or static spherically symmetric type. Among these various solutions we obtain some of them have their contorsion tensor depending on arbitrary functions that didn't influence their geometry. This raises question about the predictability of the theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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