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arXiv · 2610.33928

Gravitational Radiation Coupled to a real massive scalar Field

Yue Ma·Xianghao Wu·Weidong Zhang
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Abstract

We study the asymptotic behavior of small-data global solutions to the Einstein--Klein--Gordon system with a positive-mass real scalar field in wave gauge. We show that the linearized trace component of the metric perturbation admits a $\hat t^{-1}\simeq t^{-1}$ optimal decreasing rate. Moreover, a quantitative one-point observability estimate is established: the initial Klein-Gordon energy is controlled by this leading order coefficient.

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Yue Ma, Xianghao Wu, Weidong Zhang. 2026-10-24. Gravitational Radiation Coupled to a real massive scalar Field. https://arxiv.org/abs/2610.33928

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