The Scenario for the Astrophysics with Scalar Field and the Cosmological Constant

TL;DR

This paper explores Einstein's theory with a scalar field and cosmological constant, proposing the scalar field as a dark matter candidate, and analyzes its effects on cosmological and galactic scales.

Contribution

It provides exact solutions at cosmological scales and approximate gravitational potentials at galactic scales, clarifying the scalar field's role as dark matter.

Findings

Scalar field acts as dark matter on cosmological scales

Scalar field does not mimic dark matter at galactic or solar scales

Exact and approximate solutions for scalar field effects obtained

Abstract

In order to give the standard scenario of the astrophysics, we study the Einstein theory with minimally coupled scalar field and the cosmological term by considering the scalar field as a candidate of the dark matter. We obtained the exact solution in the cosmological scale and the approximate gravitational potential in the galactic or solar scale. We find that the scalar field plays the role of the dark matter in some sense in the cosmological scale but it does not play the role of the dark matter in the galactic or solar scale within our approximation.