Some geometric properties of generalized $\varphi$-vacuum static spaces
Letizia Branca, Paolo Mastrolia, Marco Rigoli
公開日: 2025/9/5
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.