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arXiv · 2509.05125

Some geometric properties of generalized $\varphi$-vacuum static spaces

Letizia Branca·Paolo Mastrolia·Marco Rigoli
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Abstract

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

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Letizia Branca, Paolo Mastrolia, Marco Rigoli. 2025-09-05. Some geometric properties of generalized $\varphi$-vacuum static spaces. https://arxiv.org/abs/2509.05125

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