Abstract
Abstract We explore some of the cosmological implications of nonlocal gravity (NLG) theory, in which nonlocality is due to the gravitational memory of past events. Memory dies out in space and time. The fading of memory in time implies that in NLG the strength of the gravitational interaction must decrease with cosmic time. In the Newtonian regime of NLG, 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 in cosmology without recourse to dark matter? In this chapter, a beginning is made 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.
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