PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
April 14, 2026Calculus of Variations and Partial Differential Equations0 citationsOpen Access

Some geometric properties of generalized -vacuum static spaces

View Full Paper
LBLetizia BrancaPMPaolo MastroliaMRMarco Rigoli

Key Points

  • This research aims to explore the geometric characteristics of generalized phi-vacuum static spaces, focusing on curvature and eigenvalues.
  • Proved estimates for scalar curvature in generalized phi-vacuum spaces.
  • Analyzed the first eigenvalue of the Jacobi operator.
  • Investigated rigidity under specific geometric assumptions.
  • Presented estimates for the phi-scalar curvature.
  • Established bounds for the first eigenvalue of the Jacobi operator.
  • Demonstrated a result connecting to the Cosmic no-hair conjecture.

Abstract

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.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Branca et al. (2026) studied this question.

synapsesocial.com/papers/69ddd938e195c95cdefd6937https://doi.org/10.1007/s00526-026-03337-x
Ask AI
Helpful
Bookmark
Share
View Full Paper