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arXiv 1408.0860gr-qc
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标量-张量引力场中紧双星的引力辐射

Gravitational radiation from compact binaries in scalar-tensor gravity

Ryan N. Lang

摘要:

广义相对论(GR)已经在太阳系和双星系统中得到了广泛的验证,但从未在强场动力学领域得到验证。很快,像Advanced LIGO和eLISA这样的引力波(GW)探测器将能够通过测量来自吸入和合并紧凑双星的GW来探测这一机制。一个特别有趣的替代GR是标量张量引力。我们目前的进展,在计算第二后牛顿(2 PN)引力波形的吸入紧凑的双星在一般类的标量张量理论。波形是使用标准GR方法构造的,该方法被称为“松弛爱因斯坦方程的直接积分”,适当地适应于标量张量的情况。我们发现,与广义相对论的差异可以通过合理少量的参数来表征。其中的差异是新的遗传条款,这取决于过去的历史来源。在一个特殊的情况下,双黑洞系统,我们发现,波形是无法区分的广义相对论。在另一个混合黑洞-中子星系统中,与GR的所有差异都可以用一个参数来表征。

英文摘要:

General relativity (GR) has been extensively tested in the solar system and in binary pulsars, but never in the strong-field, dynamical regime. Soon, gravitational-wave (GW) detectors like Advanced LIGO and eLISA will be able to probe this regime by measuring GWs from inspiraling and merging compact binaries. One particularly interesting alternative to GR is scalar-tensor gravity. We present progress in the calculation of second post-Newtonian (2PN) gravitational waveforms for inspiraling compact binaries in a general class of scalar-tensor theories. The waveforms are constructed using a standard GR method known as "direct integration of the relaxed Einstein equations," appropriately adapted to the scalar-tensor case. We find that differences from general relativity can be characterized by a reasonably small number of parameters. Among the differences are new hereditary terms which depend on the past history of the source. In one special case, binary black hole systems, we find that the waveform is indistinguishable from that of general relativity. In another, mixed black hole-neutron star systems, all differences from GR can be characterized by only a single parameter.

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