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arXiv 1004.5580gr-qcastro-ph.CO
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引力替代理论中宇宙学引力波的额外偏振态

Extra polarization states of cosmological gravitational waves in alternative theories of gravity

Marcio E. S. Alves, Oswaldo D. Miranda, Jose C. N. de Araujo

摘要:

在宇宙学扰动理论中,宇宙引力波通常与度规微扰中的无迹部分联系在一起。这些模式正是广义相对论中常见的极化“+”和“x”。然而,在大多数引力理论中,引力波可以呈现出比这两种偏振态更多的偏振态。在这种情况下,纽曼-彭罗斯形式主义是特别适合于评估非零GW模式的数量。在目前的工作中,我们打算考虑这些额外的偏振态的宇宙引力波在替代理论的引力。作为应用,我们推导出两个具体的理论,即,一般标量张量理论,提出了四个偏振态和大规模的双度规理论,这是在最一般的情况下,与6个偏振态的GWs的动力学方程。这里所提供的数学工具是相当通用的,因此它可以用来研究所有度规引力理论中的宇宙学扰动。

英文摘要:

Cosmological Gravitational Waves (GWs) are usually associated with the transverse-traceless part of the metric perturbations in the context of the theory of cosmological perturbations. These modes are just the usual polarizations `+' and `x' which appear in the general relativity theory. However, in the majority of the alternative theories of gravity, GWs can present more than these two polarization states. In this context, the Newman-Penrose formalism is particularly suitable for evaluating the number of non-null GW modes. In the present work we intend to take into account these extra polarization states for cosmological GWs in alternative theories of gravity. As an application, we derive the dynamical equations for cosmological GWs for two specific theories, namely, a general scalar-tensor theory which presents four polarization states and a massive bimetric theory which is in the most general case with six polarization states for GWs. The mathematical tool presented here is quite general, so it can be used to study cosmological perturbations in all metric theories of gravity.

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