Einstein Lorentzian solvable unimodular Lie groups

TL;DR

This paper extends key results from Einstein Lorentzian nilpotent Lie algebras to the broader classes of unimodular and solvable Lie algebras, enhancing understanding of their geometric and algebraic properties.

Contribution

It demonstrates that important properties of Einstein Lorentzian nilpotent Lie algebras also apply to unimodular and solvable Lie algebras, broadening the scope of previous results.

Findings

Key results extend to unimodular Lie algebras

Results also hold for completely solvable Lie algebras

Enhances understanding of Einstein Lorentzian structures

Abstract

The goal of this paper is to show that many key results found in the study of Einstein Lorentzian nilpotent Lie algebras can still hold in the more general settings of unimodular Lie algebras and (completely) solvable Lie algebras.