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PreprintarXiv licencearXiv

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 t̂−1≃ 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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Cite

BibTeXRIS
BibTeX
@misc{ma2026gravitational,
  title = {{Gravitational Radiation Coupled to a real massive scalar Field}},
  author = {Yue Ma and Xianghao Wu and Weidong Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33928},
  eprint = {2610.33928},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33928},
}
RIS
TY  - UNPB
TI  - Gravitational Radiation Coupled to a real massive scalar Field
AU  - Yue Ma
AU  - Xianghao Wu
AU  - Weidong Zhang
PY  - 2026
DA  - 2026/10/24
PB  - arXiv
DO  - 10.48550/arxiv.2610.33928
UR  - https://arxiv.org/abs/2610.33928
AB  - 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 t̂^−1≃ 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.
ER  -