The Classical Limit of Teleparallel Gravity

Helen Meskhidze
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Abstract

I consider the classical (i.e., non-relativistic) limit of Teleparallel Gravity, a relativistic theory of gravity that is empirically equivalent to General Relativity and features torsional forces. I show that as the speed of light is allowed to become infinite, Teleparallel Gravity reduces to Newtonian Gravity without torsion. I compare these results to the torsion-free context and discuss their implications on the purported underdetermination between Teleparallel Gravity and General Relativity. I conclude by considering alternative approaches to the classical limit developed in the literature.
远距离平行引力的经典极限
我考虑了 "远距平行引力 "的经典(即非相对论)极限。"远距平行引力 "是一种相对论性引力理论,在经验上等同于广义相对论,并以扭力为特征。我的研究表明,当允许飞行速度变得无限大时,远距平行引力就会还原为没有扭力的牛顿引力。我将这些结果与无扭力的情况进行了比较,并讨论了它们对所称的远距平行引力与广义相对论之间的不确定性的影响。最后,我考虑了文献中提出的经典极限的替代方法。
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