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首页> 外文期刊>Physical review, D >Fourth post-Newtonian effective-one-body Hamiltonians with generic spins
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Fourth post-Newtonian effective-one-body Hamiltonians with generic spins

机译：第四届牛顿有效的一体的一体式哈密顿人，具有通用旋转

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In a compact binary coalescence, the spins of the compact objects can have a significant effect on the orbital motion and gravitational-wave (GW) emission. For generic spin orientations, the orbital plane precesses, leading to characteristic modulations of the GW signal. The observation of precession effects is crucial to discriminate among different binary formation scenarios and to carry out precise tests of general relativity. Here, we work toward an improved description of spin effects in binary inspirals, within the effective-one-body (EOB) formalism, which is commonly used to build waveform models for LIGO and Virgo data analysis. We derive EOB Hamiltonians including the complete fourth post-Newtonian (4PN) conservative dynamics, which is the current state of the art. We place no restrictions on the spin orientations or magnitudes, or on the type of compact object (e.g., black hole or neutron star), and we produce the first generic-spin EOB Hamiltonians complete at 4PN order. We consider multiple spinning EOB Hamiltonians, which are more or less direct extensions of the varieties found in previous literature, and we suggest another simplified variant. Finally, we compare the circular-orbit, aligned-spin binding-energy functions derived from the EOB Hamiltonians to numerical-relativity simulations of the late inspiral. While finding that all proposed Hamiltonians perform reasonably well, we point out some interesting differences, which could guide the selection of a simpler, and thus faster-to-evolve EOB Hamiltonian to be used in future LIGO and Virgo inference studies.
机译：在紧凑的二进制聚结中，紧凑型物体的旋转可以对轨道运动和引力波（GW）发射具有显着影响。对于通用的旋转方向，轨道平面的精细，导致GW信号的特征调制。预测效果的观察对于区分不同的二元形成情景并进行一般相对论的精确测试至关重要。在这里，我们在有效一体（EOB）形式主义内改进了二元升压中的旋转效应的改进描述，其通常用于构建Ligo和Virgo数据分析的波形模型。我们派生了Eob Hamiltonians，包括完整的第四届牛顿（4Pn）保守动态，这是现有技术。我们对旋转方向或大小或小巧的物体类型（例如，黑洞或中子星）进行任何限制，我们生产的第一个通用 - 旋转EoB Hamiltonians以4PN订单完成。我们考虑多个旋转的Eob Hamiltonians，这些汉密尔顿人是或多或少直接在以前文献中发现的品种的延伸，我们建议另一个简化的变体。最后，我们比较从Eob Hamiltonians的循环轨道，对齐 - 旋转 - 能量函数，从Eob Hamiltonians衍生到晚期支持的数值 - 相对论模拟。同时发现所有提议的哈密顿人合理地表现相当良好，我们指出了一些有趣的差异，这可能导致选择更简单，从而更快地发展到Eob Hamiltonian以便在未来的利普和处女座推断研究中使用。

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