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Bibliographic Details
Main Author: Gutiérrez-Piñeres, Antonio C.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.02775
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Table of Contents:
  • A recent paper proposes a static ellipsoidal space-time metric that reduces to Schwarzschild. After examining the corrected line element using Maple's Differential geometry package, we find that the Einstein tendor and Ricci scalar are non-zero, and the metric yields non-zero pressures when interpreted as an anisotropic fluid. Thus, it does not represent a vacuum solution. We also checked a cited ellipsoidal metric from the literature and found it likewise fails to satisfy the vacuum Einstein equations.