二进制动力学通过旋转的第五次数在O (((G^{2})
Zvi Bern1, Dimitrios Kosmopoulos1, Andrés Luna2
1Mani L. Bhaumik Institute for Theoretical Physics, University of California at Los Angeles, Los Angeles, California 90095, USA.
Physical review letters
|June 2, 2023
概括
这项研究提出了一个新的框架,用于计算任意旋转的二进制系统中的两体哈密尔顿数. 该方法避免了常见的理论问题,并将计算扩展到更高的旋转顺序,这对于理解黑洞合并至关重要.
科学领域:
- 理论物理 理论物理
- 引力波天文学 引力波天文学
- 黑洞物理学 黑洞物理学
背景情况:
- 对二进制系统的准确建模,特别是那些涉及黑洞等紧物体的系统,对于解释引力波信号至关重要.
- 之前的理论框架在计算两体哈密尔顿数时面临着非物理奇点和更高时间导数的挑战.
- 两个体的二次旋转哈密尔顿数以前已经确定到O{\displaystyle O{\displaystyle G}^2} .
研究的目的:
- 为了将任意旋转 (S) 的通用二进制系统的双体哈密尔顿的计算扩展到更高的数量级.
- 引入和评估由形式主义中的微妙性产生的新运算符.
- 通过与对齐旋转结果进行比较来确认扩展计算的有效性,并推测一种方法来确定Kerr黑洞的威尔逊系数,用于旋转的所有顺序.
主要方法:
- 利用先前开发的基于散射振幅的框架,旨在避免非物理奇点和更高时间导数.
- 评估 S^3 散射角和两体哈密尔顿在 O ((G^2),包括标准世界线运算符和额外运算符.
- 计算S^4和S^5在O(G^2) 的贡献,并将结果与对齐旋转计算进行比较.
主要成果:
- 散射角度S^3和两体哈密尔顿定数已在O{\displaystyle O} ,G^2中进行评估,并纳入了新型运算符.
- 在O(G^2) 的S^4和S^5贡献已成功计算并与对齐旋转结果进行验证.
- 关于转移对称性和高能散射振幅约束的猜测被提出用于确定克尔黑洞威尔逊系数.
结论:
- 基于散射幅度的框架有效地确定任意自旋系统的两体哈密尔顿数,绕过已知的理论困难.
- 包括额外的操作员和更高阶的旋转贡献精细化了对二进制动态的描述.
- 拟议的推测为克尔黑洞提供了一条通往所有顺序的自旋依赖计算的途径,与现有结果一致.
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