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Gonzalez, N.; Rubio, G.; Salgado, P. und Salgado, S. (2016): Generalized Galilean algebras and Newtonian gravity. In: Physics Letters B, Bd. 755: S. 433-438 [PDF, 307kB]

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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.

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