Eduardo Garcia-Rio — Neckpinchhttps://neckpinch.com/authors/eduardo-garcia-rio/New arXiv papers by Eduardo Garcia-Rio, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Four-dimensional Lorentzian algebraic Ricci solitonshttps://neckpinch.com/papers/2601.15730/arxiv:2601.15730Thu, 22 Jan 2026 00:00:00 GMTEduardo Garcia-Rio, Rosalia Rodriguez-Gigirey, Ramon Vazquez-Lorenzo — We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any connected and simply connected four-dimensional Lie group admits a left-invariant Lorentz metric which is a Ricci soliton.Ricci solitons4-manifoldsHomogeneous spacesPhysics