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

TL;DR

This paper explores a nonlocal de Sitter gravity model, deriving an approximate Schwarzschild-de Sitter solution to investigate its potential in explaining galactic dynamics without dark matter.

Contribution

It provides an approximate solution for the Schwarzschild-de Sitter metric within a nonlocal gravity framework, extending previous cosmological results.

Findings

Approximate Schwarzschild-de Sitter solution derived

Potential implications for galactic dynamics without dark matter

Model aligns with astronomical observations in cosmology

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.