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arXiv 2101.01736gr-qchep-th
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渐近de Sitter时空中的晚时尾和非线性记忆

Late time tails and nonlinear memories in asymptotically de Sitter spacetimes

Yi-Zen Chu, M. Afif Ismail, Yen-Wei Liu

摘要:

研究了无质量标量波在受任意中心质量扰动的de Sitter时空中的传播。通过关注后期时间限制,这探测了在零锥内行进的标量信号的部分。与渐近平坦的时空不同,观测者在类时无穷远处探测到的标量场的振幅不会衰减回零,而是在中心质量M的零阶和一阶上产生时空常数位移。这表明无质量标量场在渐近de Sitter时空中的传播具有线性和非线性尾诱导记忆。另一方面,对于足够晚的延迟时间,在零无穷远处测量的标量信号的非线性部分被发现相对于其类时无穷远处的对应物被放大,通过其与M中的一阶引力场的非线性相互作用。

英文摘要:

We study the propagation of a massless scalar wave in de Sitter spacetime perturbed by an arbitrary central mass. By focusing on the late time limit, this probes the portion of the scalar signal traveling inside the null cone. Unlike in asymptotically flat spacetimes, the amplitude of the scalar field detected by an observer at timelike infinity does not decay back to zero but develops a spacetime constant shift - both at zeroth and first order in the central mass M. This indicates that massless scalar field propagation in asymptotically de Sitter spacetimes exhibits both linear and nonlinear tail-induced memories. On the other hand, for sufficiently late retarded times, the monopole portion of the scalar signal measured at null infinity is found to be amplified relative to its timelike infinity counterpart, by its nonlinear interactions with the gravitation field at first order in M.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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