Some geometric properties of generalized $\varphi$-vacuum static spaces
Differential Geometry
2025-09-08 v1
Abstract
In this paper we study the geometry of generalized -vacuum static spaces, proving estimates for the -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.
Keywords
Cite
@article{arxiv.2509.05125,
title = {Some geometric properties of generalized $\varphi$-vacuum static spaces},
author = {Letizia Branca and Paolo Mastrolia and Marco Rigoli},
journal= {arXiv preprint arXiv:2509.05125},
year = {2025}
}