Homothetic motions and Newtonian cosmology

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 admi...

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Bibliographic Details
Published in:General relativity and gravitation 2014-06, Vol.46 (6), p.1-14, Article 1745
Main Authors: Jaén, Xavier, Molina, Alfred
Format: Article
Language:English
Subjects:
Astronomia i astrofísica
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Cosmologia
Cosmologia i cosmogonia
Cosmology
Differential Geometry
Dust universe
FLRW
Física
Gravitació
Gravitation
Homothetic motion
Mathematical and Computational Physics
Newtonian cosmology
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Theoretical
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Summary: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.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-014-1745-8