Nonlocal Newtonian cosmology

We explore some of the cosmological implications of the recent classical nonlocal generalization of Einstein’s theory of gravitation in which nonlocality is due to the gravitational memory of past events. In the Newtonian regime of this theory, the nonlocal character of gravity simulates dark matter...

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Bibliographic Details
Published in:Journal of mathematical physics 2016-07, Vol.57 (7), p.1
Main Authors: Chicone, C., Mashhoon, B.
Format: Article
Language:English
Subjects:
Astronomical models
Computer simulation
Cosmology
Dark matter
Galactic clusters
Gravitation theory
Gravity
Physics
Spiral galaxies
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Summary:We explore some of the cosmological implications of the recent classical nonlocal generalization of Einstein’s theory of gravitation in which nonlocality is due to the gravitational memory of past events. In the Newtonian regime of this theory, the nonlocal character of gravity simulates dark matter in spiral galaxies and clusters of galaxies. However, dark matter is considered indispensable as well for structure formation in standard models of cosmology. Can nonlocal gravity solve the problem of structure formation without recourse to dark matter? Here we make a beginning in this direction by extending nonlocal gravity in the Newtonian regime to the cosmological domain. The nonlocal analog of the Zel’dovich solution is formulated and the consequences of the resulting nonlocal Zel’dovich model are investigated in detail.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4958902