arXiv 0908.08612009-08-06gr-qcastro-ph.HE

用引力波极化探讨f（R）形式

Probing the f(R) formalism through gravitational wave polarizations

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

备注：: 18 pages, 1 figure, accepted for publication in Physics Letters B
DOI：: 10.1016/j.physletb.2009.08.005

摘要：

在不久的将来，对引力波（GWs）的直接观测，以及相应的独立极化数的确定，是检验广义相对论和其他引力理论的有力工具。在目前的工作中，我们使用Newman-Penrose形式主义的特点GW在二次引力和一个特定的类f（R）拉格朗日。我们发现，二次引力和f（R）理论都属于最一般的不变类引力波，即，它们可以呈现高达六个独立的GW偏振。对于一个特定的参数组合，我们发现，二次引力可以呈现多达五个偏振态。另一方面，如果我们对f（R）理论使用Palatini方法，GWs只呈现通常的两个横向无痕极化，如在广义相对论中。因此，我们的结论是，观察GW可以强烈约束这些理论的适当形式主义。

英文摘要：

The direct observation of gravitational waves (GWs) in the near future, and the corresponding determination of the number of independent polarizations, is a powerful tool to test general relativity and alternative theories of gravity. In the present work we use the Newman-Penrose formalism to characterize GWs in quadratic gravity and in a particular class of f(R) Lagrangians. We find that both quadratic gravity and the f(R) theory belong to the most general invariant class of GWs, i.e., they can present up to six independent polarizations of GWs. For a particular combination of the parameters, we find that quadratic gravity can present up to five polarizations states. On the other hand, if we use the Palatini approach for f(R) theories, GWs present only the usual two transverse-traceless polarizations such as in general relativity. Thus, we conclude that the observation of GWs can strongly constrain the suitable formalism for these theories.

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英文摘要：

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