论文标题
有效的一个身体哈密顿在标量敏感性重力下于第三次纳夫顿秩序
Effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order
论文作者
论文摘要
我们确定了第三纳顿（PN）第三次的无质量标量调整（ST）理论的一般局部有效性（EOB）哈密顿量。从[Phys。 Rev. D 99，044047（2019）]，我们将其映射到相应的普通汉密尔顿，描述了3PN级别的ST理论中的两体相互作用。然后，我们将其映射到EOB Hamiltonian上，以确定3pn时3pn精制的EOB电位$（a，b，q_e）$。然后，我们专注于圆形轨道，并比较新计算的3PN项的效果，该术语也以有限的大小和非局限性贡献完成，对最内向稳定的圆形轨道的频率进行预测。我们的结果对于在ST理论中构建高准确波形模型将很有用，该模型可用于使用来自紧凑型二进制的重力波数据对一般相对性进行精确测试。
We determine the general local-in-time effective-one-body (EOB) Hamiltonian for massless Scalar-Tensor (ST) theories at third post-Newtonian (PN) order. Starting from the Lagrangian derived in [Phys. Rev. D 99, 044047 (2019)], we map it to the corresponding ordinary Hamiltonian describing the two-body interaction in ST theories at 3PN level. Using a canonical transformation, we then map this onto an EOB Hamiltonian so as to determine the ST corrections to the 3PN-accurate EOB potentials $(A,B,Q_e)$ at 3PN. We then focus on circular orbits and compare the effect of the newly computed 3PN terms, also completed with finite-size and nonlocal-in-time contributions, on predictions for the frequency at the innermost stable circular orbit. Our results will be useful to build high-accuracy waveform models in ST theory, which could be used to perform precise tests against General Relativity using gravitational wave data from coalescing compact binaries.
