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In this chapter our aim is to obtain new uniqueness results concerning the mean curvature equation in a weighted standard static spacetime \(M_{\varphi }^n\times _\rho \mathbb {R}_1\) having warping function \(\rho \) and whose weight function \(\varphi \) does not depend on the parameter \(t\in \mathbb {R}\) .

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Spacelike Hypersurfaces in Weighted Standard Static Spacetimes

  • 章节

  • 发表日期：

    2025年

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  • Henrique Fernandes de Lima,
  • Giovanni Molica Bisci,
  • Marco Antonio Lázaro Velásquez

摘要

In this chapter our aim is to obtain new uniqueness results concerning the mean curvature equation in a weighted standard static spacetime \(M_{\varphi }^n\times _\rho \mathbb {R}_1\) having warping function \(\rho \) and whose weight function \(\varphi \) does not depend on the parameter \(t\in \mathbb {R}\) .