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首页> 外文期刊>International journal of modern physics, D. Gravitation, astrophysics, cosmology >Test particles behavior in the framework of a Lagrangian geometric theory with propagating torsion
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Test particles behavior in the framework of a Lagrangian geometric theory with propagating torsion

机译：在拉格朗日几何理论的框架内以传播扭力测试粒子行为

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Working in the Lagrangian framework, we develop a geometric theory in vacuum with propagating torsion; the antisymmetric and trace parts of the torsion tensor, considered as derived from local potential fields, are taken and, using the minimal action principle, their field equations are calculated. Actually these will show themselves to be just equations for propagating waves giving torsion a behavior similar to that of metric which, as known, propagates through gravitational waves. Then we establish a principle of minimal substitution to derive test particles equation of motion, obtaining, as result, that they move along autoparallels. We then calculate the analogous of the geodesic deviation for these trajectories and analyze their behavior in the nonrelativistic limit, showing that the torsion trace potential phi has a phenomenology which is indistinguishable from that of the gravitational newtonian field; in this way we also give a reason for why there have never been evidence for it. [References: 31]
机译：在拉格朗日框架下，我们发展了在真空中传递扭转的几何理论。取扭力张量的反对称和痕量部分，认为是从局部势场得出的，并使用最小作用原理，计算了它们的场方程。实际上，这些将证明它们本身只是传播波的方程式，使扭转行为类似于公知的通过重力波传播的度量。然后，我们建立了最小替换的原理，以得出测试粒子的运动方程，从而获得它们沿自动平行运动的结果。然后，我们计算这些轨迹的测地线偏差，并分析它们在非相对论极限内的行为，表明扭转痕迹电势phi的现象与重力牛顿场的现象难以区分。通过这种方式，我们也给出了为什么没有证据的原因。 [参考：31]

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