General teleparallel modifications of Schwarzschild geometry

S. Bahamonde, C. Pfeifer
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引用次数: 11

Abstract

Teleparallel theories of gravity are described in terms of the tetrad of a metric and a flat connection with torsion. In this paper, we study spherical symmetry in a modified teleparallel theory of gravity which is based on an arbitrary function of the five possible scalars constructed from the irreducible parts of torsion. This theory is a generalisation of the so-called New General Relativity theory. We find that only two scalars are different to zero in spherical symmetry and we solve the corresponding field equations analytically for conformal Teleparallel gravity, and then perturbatively around Schwarzschild geometry for the general perturbative theory around GR. Finally we compute phenomenological effects from the perturbed solutions such as the photon sphere, perihelion shift, Shapiro delay and the light deflection. We find their correspondent correction to the standard GR contribution and their dependence on the three model parameters.
史瓦西几何的一般远平行修正
引力的遥平行理论是根据度规的四分体和与扭转的平连接来描述的。本文研究了一个改进的遥平行引力理论中的球对称性,该理论基于由不可约部分组成的五种可能标量的任意函数。这个理论是对所谓的新广义相对论的概括。我们发现球对称中只有两个标量是异于零的,我们解析解了共形遥平行引力的相应场方程,然后解析解了绕Schwarzschild几何的绕GR的一般微扰理论。最后我们计算了由微扰解产生的光子球、近日点位移、夏皮罗延迟和光偏转等现象学效应。我们发现了它们对标准GR贡献的相应修正以及它们对三个模型参数的依赖。
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