Two-body problem in Scalar-Tensor theories as a deformation of General Relativity : an Effective-One-Body approach
Two-body problem in Scalar-Tensor theories as a deformation of General Relativity : an Effective-One-Body approach
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DOI：
10.1103/physrevd.95.124054
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发表时间：
2017-03
影响因子：
5
通讯作者：
F. Juli'e;N. Deruelle
中科院分区：
文献类型：
--
作者：
F. Juli'e;N. Deruelle
在本文中，我们解决的两体问题的无质量标量张量（ST）理论的连续一体（EOB）框架内。我们专注于EOB方法的第一个组成部分，即，映射到测地线运动的测试粒子在一个有效的外部度量的两体动力学的保守部分。为此，我们首先推导出第二后开普勒（2 PK）哈密顿量的两体问题从已知的2 PK拉格朗日。然后，我们建立，通过正则变换的ST-变形的广义相对论EOB哈密顿量，允许将标量张量（2 PK）的修正，目前最好的广义相对论EOB的结果。该EOB-ST哈密尔顿算子定义了可以提供关于强场状态的信息的动力学的再确认，特别是ISCO位置和相关联的轨道频率，并且可以与其他（例如潮汐）校正进行比较。
In this paper we address the two-body problem in massless Scalar-Tensor (ST) theories within an Effective-One-Body (EOB) framework. We focus on the first building block of the EOB approach, that is, mapping the conservative part of the two-body dynamics onto the geodesic motion of a test particle in an effective external metric. To this end, we first deduce the second post-Keplerian (2PK) Hamiltonian of the two-body problem from the known 2PK Lagrangian. We then build, by means of a canonical transformation a ST-deformation of the general relativistic EOB Hamiltonian which allows to incorporate the Scalar-Tensor (2PK) corrections to the currently best available General Relativity EOB results. This EOB-ST Hamiltonian defines a resummation of the dynamics that may provide information on the strong-field regime, in particular, the ISCO location and associated orbital frequency and can be compared to other, e.g. tidal, corrections.