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Homothetic motions and Newtonian cosmology
Jaen Herbera, Javier; Molina Compte, Alfred
Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear; Universitat Politècnica de Catalunya. GIEF - Grup Innovació Educativa a la Física
We construct a homothetic covariant Newtonian gravitation theory which unifies inertial homothetic forces and gravitational fields. This is achieved through an equivalence principle based on a local homothetic frame of motion. As a consequence, we can obtain a coherent Newtonian cosmology which admits a cosmological principle and leads to the Friedman equations for a dust universe. Finally we prove that this gravity theory can be obtained as the non-relativistic limit of a class of metrics in General Relativity. The Friedmann–Lemaître–Robertson–Walker metric and its limit are also studied.
Àrees temàtiques de la UPC::Física::Astronomia i astrofísica::Cosmologia i cosmogonia
Homothetic motion
Newtonian cosmology
Dust universe
Attribution-NonCommercial-NoDerivs 3.0 Spain

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