EINSTEIN EQUATIONS IN LIE ALGEBROIDS

  • MIHAI ANASTASIEI
    "Al.I.Cuza" University of Iaşi, Faculty of Mathematics, 700506, Iaşi, Romania and Mathematical Institute "O. Mayer", Romanian Academy, Blvd. Carol I, nr. 8, Iasi, 700506, ROMANIA
    anastas@uaic.ro
  • MANUELA GÎRŢU
    "Vasile Alecsandri" University of Bacău, Faculty of Sciences Department of Mathematics, Informatics and Education Sciences Calea Mărăşeşti 157, Bacău 600115, ROMANIA
    girtum@yahoo.com

Abstract

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.

Cuvinte cheie

Lie algebroids pseudo-Riemannian metrics metrical connections Einstein equations