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On Poincar\'e gauge theory of gravity, its equations of motion, and Gravity Probe B

机译:关于庞加莱计的引力理论,它的运动方程,以及   重力探针B.

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摘要

Ever since E.Cartan in the 1920s enriched the geometric framework of generalrelativity (GR) by introducing a {\it torsion} of spacetime, the question arosewhether one could find a measurement technique for detecting the presence of atorsion field. Mao et al.(2007) claimed that the rotating quartz balls in thegyroscopes of the Gravity Probe B experiment, falling freely on an orbit aroundthe Earth, should "feel" the torsion. Similarly, March et al.(2011) argue withthe precession of the Moon and the Mercury and extend later theirconsiderations to the Lageos satellite.--- A consistent theory of gravity withtorsion emerged during the early 1960's as gauge theory of the Poincar\'egroup. This Poincar\'e gauge theory of gravity incorporates as simplest viablecases the Einstein-Cartan(-Sciama-Kibble) theory (EC), the teleparallelequivalent GR|| of GR, and GR itself. So far, PG and, in particular, theexistence of torsion have {\it not} been experimentally confirmed. However, PGis to be considered as the standard theory of gravity with torsion because ofits very convincing gauge structure.--- Since the early 1970s up to today,different groups have shown more or less independently that torsion couplesonly to the {\it elementary particle spin} and under no circumstances to theorbital angular momentum of test particles. This is established knowledge andwe reconfirm this conclusion by discussing the energy-momentum law of PG, whichhas same form for all versions of PG. Therefore, we conclude that,unfortunately, the investigations of Mao et al. and March et al. do not yieldany information on torsion.
机译:自从1920年代E.Cartan通过引入时空{\ it扭转}丰富了广义相对论(GR)的几何框架以来,就一直存在着一个问题,那就是是否可以找到一种测量技术来检测引言场的存在。 Mao等人(2007年)声称,重力探测器B实验的陀螺仪中旋转的石英球自由落在围绕地球的轨道上,应该“感觉到”扭转。同样,March等人(2011年)对月球和水星的进动进行了论证,后来将其考虑范围扩展到了Lageos卫星。---在1960年代初出现了一个一致的重力扭转理论,即庞加莱群的尺度理论。 。庞加莱规范的引力论结合了爱因斯坦-卡坦(-Sciama-Kibble)理论(EC),遥平行当量GR ||作为最简单的可行案例。和GR本身。到目前为止,PG,尤其是扭转的存在{\ it}还没有通过实验得到证实。但是,由于PG具有令人信服的轨距结构,因此PG被认为是扭转的标准重力理论。---自1970年代初至今,不同的群体或多或少地独立地表明,扭转仅耦合到{\ it基本粒子自旋},在任何情况下都不会使测试粒子进入轨道角动量。这是已知的知识,我们通过讨论PG的能量动量定律来确认这一结论,该定律对于所有版本的PG都具有相同的形式。因此,我们得出的结论是,不幸的是,对毛等人的研究。和March等。不提供有关扭转的任何信息。

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