MIHAI ANASTASIEI 1, MANUELA GÃŽRÅ¢U 2 1. "Al.I.Cuza" University of IaÅŸi, Faculty of Mathematics, 700506, IaÅŸi, Romania and Mathematical Institute "O. Mayer", Romanian Academy, Blvd. Carol I, nr. 8, Iasi, 700506, ROMANIA,
Corresponding author: anastas@uaic.ro
2. "Vasile Alecsandri" University of Bacău, Faculty of Sciences Department of Mathematics, Informatics and Education Sciences Calea Mărăşeşti 157, Bacău 600115, ROMANIA, Corresponding author: girtum@yahoo.com
A Lie algebroid endowed with a Riemannian metric has a canonical connection of Levi-Civita type. We associate to it the Einstein tensor field and using it we construct the Einstein equations. Some particular cases are discussed.