论文标题

扭转的含义在电触电理论中

The meaning of torsion in teleparallel theories

论文作者

Formiga, J. B.

论文摘要

研究了Weitzenböck连接的歧义和电触电理论中扭转的含义。为了消除重力能量量张量等的计算中的歧义和不一致之处,添加了一个新的假设。除了对空间三合会的已知限制外,还必须施加对构建框架的一致性的一些限制。然而,对特定观察者的世界线没有任何限制。本文中提出的假设和限制用于定义在这里称为理想框架的内容。该定义适用于Schwarzschild和PP-Wave间距,在触发平行等效的一般相对论的上下文中。在这两种情况下,结果都非常吸引人和一致。这包括使引力密度沿此处使用的加速观察者的世界线消失的不可能。对Weitzenböck扭转进行了两个有希望的解释,并详细介绍了并讨论。还讨论了在远程理论中具有明确定义的绝对真空概念的可能性。最后,提出了F(t)理论的众所周知问题的一些可能解决方案。

The ambiguity of the Weitzenböck connection and the meaning of torsion in teleparallel theories are investigated. A new postulate is added to teleparallel theories in order to remove the ambiguity and the inconsistencies in the calculation of the gravitational energy-momentum tensor and the like. In addition to the known restrictions on the spatial triad, it is shown that some restrictions on the congruence used to build the frame must also be imposed. Nevertheless, no restriction is imposed on a particular observer's worldline. The postulate and the restriction presented in this article are used to define what will be called here an ideal frame. This definition is applied to the Schwarzschild and the pp-wave spacetimes in the context of the Teleparallel Equivalent of General Relativity. In both cases, the results are very appealing and consistent; this includes the impossibility of making the gravitational energy density vanish along the accelerated observers' worldlines used here. Two promising interpretations for the Weitzenböck torsion are presented and discussed in detail. The possibility of having a well defined concept of an absolute vacuum in teleparallel theories is also discussed. Finally, some possible solutions to well-known problems of the f(T) theories are proposed.

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