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<p>In this paper we study the geometry of generalized <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\varphi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>φ</mi> </math></EquationSource> </InlineEquation>-vacuum static spaces, proving estimates for the <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\varphi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>φ</mi> </math></EquationSource> </InlineEquation>-scalar curvature and for the first eigenvalue of the Jacobi operator, and also rigidity under various geometric ass be a compact manifold. umptions; in particular, we prove a result related to the famous Cosmic no-hair conjecture of Boucher, Gibbons and Horowitz.</p>

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Some geometric properties of generalized \(\varphi \)-vacuum static spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月13日

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  • Letizia Branca,
  • Paolo Mastrolia,
  • Marco Rigoli

摘要

In this paper we study the geometry of generalized \(\varphi \) φ -vacuum static spaces, proving estimates for the \(\varphi \) φ -scalar curvature and for the first eigenvalue of the Jacobi operator, and also rigidity under various geometric ass be a compact manifold. umptions; in particular, we prove a result related to the famous Cosmic no-hair conjecture of Boucher, Gibbons and Horowitz.