Generalized Galilean algebras and Newtonian gravity

Gonzalez, N.; Rubio, G.; Salgado, P. und Salgado, S. (2016): Generalized Galilean algebras and Newtonian gravity. In: Physics Letters B, Vol. 755: pp. 433-438

Abstract

The non-relativistic versions of the generalized Poincare algebras and generalized AdS-Lorentz algebras are obtained. These non-relativistic algebras are called, generalized Galilean algebras of type I and type II and denoted by GB(n) and GL(n) respectively. Using a generalized Inonu-Wigner contraction procedure we find that the generalized Galilean algebras of type I can be obtained from the generalized Galilean algebras type II. The S-expansion procedure allows us to find the GB(5) algebra from the Newton Hooke algebra with central extension. The procedure developed in Ref.[1] allows us to show that the nonrelativistic limit of the five dimensional Einstein-Chern-Simons gravity is given by a modified version of the Poisson equation. The modification could be compatible with the effects of Dark Matter, which leads us to think that Dark Matter can be interpreted as a non-relativistic limit of Dark Energy. (C) 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.

• Item Type: Journal article
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 0370-2693
• Language: English