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arXiv 2204.09182gr-qc
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标量-张量理论中的宇宙记忆效应

Cosmological memory effect in scalar-tensor theories

Mohammad Ali Gorji, Taisuke Matsuda, Shinji Mukohyama

摘要:

宇宙记忆效应是位于FLRW时空中的测试粒子由于引力波的通过而发生的相对分离的永久性变化。在广义相对论中,对于充满理想流体的空间平坦FLRW时空,已知只有张量扰动对记忆效应有贡献,而标量和矢量扰动则没有。在本文中,我们表明,在标量张量理论的背景下,标量引力子的标量扰动有助于记忆效应以及。我们发现,依赖于质量和耦合,宇宙膨胀对记忆效应的影响,由于标量微扰可以更强或更弱的张量扰动诱导的。作为一个副产品,在附录中,我们开发了一个通用的框架,可用于研究耦合波方程在任何弯曲的时空区域,其中承认由时间切片叶理。

英文摘要:

The cosmological memory effect is a permanent change in the relative separation of test particles located in a FLRW spacetime due to the passage of gravitational waves. In the case of a spatially flat FLRW spacetime filled with a perfect fluid in general relativity, it is known that only tensor perturbations contribute to the memory effect while scalar and vector perturbations do not. In this paper, we show that in the context of scalar-tensor theories, the scalar perturbations associated to the scalar graviton contribute to the memory effect as well. We find that, depending on the mass and coupling, the influence of cosmic expansion on the memory effect due to the scalar perturbations can be either stronger or weaker than the one induced by the tensor perturbations. As a byproduct, in an appendix, we develop a general framework which can be used to study coupled wave equations in any curved spacetime region which admits a foliation by time slices.

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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