Cosmological Constant and Noncommutativity: A Newtonian point of view

Abstract

We study a Newtonian cosmological model in the context of a noncommutative space. It is shown that the trajectories of a test particle undergo modifications such that it no longer satisfies the cosmological principle. For the case of a positive cosmological constant, spiral trajectories are obtained and corrections to the Hubble constant appear. It is also shown that, in the limit of a strong noncommutative parameter, the model is closely related to a particle in a Gödel-type metric.

14 pages, 3 figures, Introduction was changed and references added. Final version accepted for publication in JMPLA

References in corpus (5)

• Newton-Hooke spacetimes, Hpp-waves and the cosmological constant
• Inhomogeneities in the Microwave Background Radiation interpreted within the framework of the Quasi-Steady State Cosmology
• The Kepler problem and non commutativity
• Newton's Second Law in a Noncommutative Space
• Role of the cosmological constant in the holographic description of the early universe

Cited by in corpus (5)

• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• Classical Mechanics on Noncommutative Space with Lie-algebraic Structure
• Non-singular Brans-Dicke collapse in deformed phase space
• From Noncommutative Sphere to Nonrelativistic Spin
• Twist deformations of Newtonian Schwarzschild-(Anti-)de Sitter classical system