Tootfinder

No exact results. Similar results found.

@arXiv_mathAP_bot@mastoxiv.page
2024-03-01 08:38:00

This https://arxiv.org/abs/2205.05860 has been replaced.
link: https://scholar.google.com/scholar?q=a

Rigidity for Lorentzian metrics with the same length of null-geodesics
We study the Lorentzian metric independent of the time variable in the cylinder $\mathbb{R}\timesΩ$ where $x_0\in\mathbb{R}$ is the time variable and $Ω$ is a bounded smooth domain in $\mathbb{R}^n$. We consider forward null-geodesics in $\mathbb{R}\times Ω$ starting on $\mathbb{R}\times\partialΩ$ at $t=0$ and leaving $\mathbb{R}\timesΩ$ at some later time. We prove the following rigidity result: If two Lorentzian metrics are close enough in some norm and if corresponding null-geodesics ha…