发表机构
Queen Mary University of London（伦敦大学玛丽女王学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文扩展了无优先参照系的致密双星后牛顿形式体系，引入类时矢量场刻画优先参照系效应，计算至1PN阶运动方程，并统一标量与矢量敏感度，为引力波约束PPN参数提供轨道动力学基础。
AI 中文摘要
致密双星旋进过程中的引力波观测为在强场和弱场区域检验广义相对论的偏离提供了机会。在先前的工作中，我们发展了一种与理论无关的形式体系，用于描述无优先参照系的度规引力理论中的致密双星动力学，该形式体系利用参数化后牛顿（PPN）耦合以及一组额外的标量敏感度参数，这些参数编码了强等效原理的破坏。在此，我们将该框架扩展至包含优先参照系效应，这类效应可出现在（例如）矢量-张量引力理论中。这一扩展通过引入一个标识优先参照系的类时矢量场实现，并允许致密天体质量依赖于该场与天体四速度构成的不变量。我们计算了修正后的运动方程至一阶后牛顿（1PN）阶，其中优先参照系PPN参数$\alpha_1$和$\alpha_2$获得了来自我们新矢量敏感度的贡献。我们进一步将标量和矢量敏感度统一于一个形式体系中，并用一个标量-矢量-张量理论实例加以验证。该方法提供了所需的轨道动力学，从而可将对PPN和敏感度参数的引力波约束推广至允许优先参照系以及不允许优先参照系的引力理论。
英文摘要
Gravitational-wave observations of compact-binary inspirals offer the opportunity to test deviations from general relativity in both strong and weak-field regimes. In previous work, we developed a theory-independent formalism for describing compact-binary dynamics in metric theories of gravity without preferred frames, using the parametrised post-Newtonian (PPN) couplings together with an additional set of scalar sensitivity parameters that encode violations of the strong equivalence principle. Here, we extend this framework to include preferred-frame effects, of the type that can arise in (for example) vector-tensor theories of gravity. This is achieved by introducing a time-like vector field that identifies the preferred frame, and then by allowing compact body masses to depend on the invariant formed from this field and the body's four-velocity. We calculate the modified equation of motion up to first post-Newtonian order (1PN), where the preferred-frame PPN parameters $α_1$ and $α_2$ acquire contributions from our new vector sensitivities. We further combine scalar and vector sensitivities in a unified formalism, which we validate with an example scalar-vector-tensor theory. This approach provides the orbital dynamics required to extend gravitational-wave constraints on PPN and sensitivity parameters to theories of gravity that admit preferred frames, as well as those that do not.
Comments25 pages
