Nonlocal Newtonian Cosmology
arXiv:1510.07316 · doi:10.1063/1.4958902
Abstract
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.
42 pages, 5 figures; v2: expanded version accepted for publication in JMP
References in corpus (11)
- Dark Matter Results from 225 Live Days of XENON100 Data
- Search for Low-Mass WIMPs with SuperCDMS
- Nonlocal Gravity Simulates Dark Matter
- A formal framework for a nonlocal generalization of Einstein's theory of gravitation
- Generalised Quadratic Curvature, Non-Local Infrared Modifications of Gravity and Newtonian Potentials
- Nonlocal Modification of Newtonian Gravity
- Observational Tests of Nonlocal Gravity: Galaxy Rotation Curves and Clusters of Galaxies
- Nonlocal Gravity in the Solar System
- Nonlocal Gravity: The General Linear Approximation
- Dark matter searches
- Nonlocal gravity: Conformally flat spacetimes
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- Dynamical Friction in Nonlocal Gravity
- Logarithmic corrections to Newtonian gravity and Large Scale Structure
- Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
- On the Nonlocal Newtonian Cosmology