观测到的脉冲星计时调制的完整二阶相对论推导
Complete Second-Order Relativistic Derivation of the Observed Pulsar Timing Modulations
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中文总结 AI 辅助
本文在闵可夫斯基背景下，不固定规范地推导了脉冲星计时调制的完整二阶相对论表达式，证明其坐标无关，并证实与沿单条测地线的观测红移在二阶上一致。
中文摘要 AI 辅助
我们提出了对观测到的脉冲星计时调制的完全非线性相对论描述，该调制通过两次连续射电脉冲发射之间的固有时间间隔与脉冲星计时阵列观测到的间隔之比来定义。在发射间隔趋于零的极限下，我们在闵可夫斯基背景周围的相对论微扰理论中推导了观测到的脉冲星计时调制至二阶，不固定规范并保留度规微扰的完整标量、矢量和张量内容。尽管推导自然引入了几个依赖规范的中量，我们明确证明了它们组合成一个坐标无关的表达式。此外，我们明确展示了来自两个相邻射电脉冲的二阶计时调制与观测到的红移一致，红移定义为沿单条测地线的波长分数变化。这一一致性代表了Magi & Yoo 2026年证明的精确非线性等价的一个非平凡二阶实现。
英文摘要
We present a fully nonlinear relativistic description of the observed pulsar timing modulations, defined through the ratio of the proper-time intervals between two successive emissions of radio pulses and their observations by a pulsar timing array. Working in the limit of a vanishing emission interval, we derive the observed pulsar timing modulation to second order in relativistic perturbation theory around a Minkowski background, without fixing a gauge and retaining the full scalar, vector, and tensor content of the metric perturbations. Although the derivation naturally introduces several gauge-dependent intermediate quantities, we explicitly demonstrate that they combine into a coordinate-independent expression. Moreover, we explicitly show that the second-order timing modulation from two neighboring radio pulses coincides with the observed redshift, defined as the fractional change in wavelength along a single geodesic. The agreement represents a nontrivial second-order realization of the exact nonlinear equivalence proven in Magi & Yoo 2026.
发表机构
- Institute for Basic Science (IBS)（基础科学研究所）
- University of Zurich（苏黎世大学）
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