In this paper we study the geometry of generalized φ-vacuum static spaces, proving estimates for the 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.
Some geometric properties of generalized $$\varphi $$-vacuum static spaces [Some geometric properties of generalized φ-vacuum static spaces] / L. Branca, P. Mastrolia, M. Rigoli. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 65:5(2026 May), pp. 163.1-163.32. [10.1007/s00526-026-03337-x]
Some geometric properties of generalized $$\varphi $$-vacuum static spaces [Some geometric properties of generalized φ-vacuum static spaces]
L. BrancaPrimo
;P. Mastrolia
Penultimo
;M. RigoliUltimo
2026
Abstract
In this paper we study the geometry of generalized φ-vacuum static spaces, proving estimates for the 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.
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