On the Schwarzschild-de Sitter metric of nonlocal de Sitter gravity

FILOMAT(2023)

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Abstract
Earlier constructed a simple nonlocal de Sitter gravity model has a cosmological solution in a very good agreement with astronomical observations. In this paper, we continue the investigation of the nonlocal de Sitter model of gravity, focusing on finding an appropriate solution for the Schwarzschild-de Sitter metric. We succeeded to solve the equations of motion in a certain approximation. The obtained approximate solution is of particular interest for examining the possible role of non-local de Sitter gravity in describing the effects in galactic dynamics that are usually attributed to dark matter.
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Key words
Nonlocal gravity,Equations of motion,de Sitter space,Schwarzschild-type metric,Pseudo-Riemannian manifold
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