Dark halos built of scalar gravitons: numerical study

TL;DR

This paper numerically verifies and visualizes analytical solutions for scalar graviton-based dark matter halos, supporting their potential role in galaxy dark matter structures within a modified gravity framework.

Contribution

It provides a numerical analysis and validation of analytical solutions for scalar graviton dark halos in a modified gravity theory, extending previous theoretical work.

Findings

Analytical solutions are confirmed by numerical methods.

Scalar graviton fields can form stable dark matter halos.

Results support scalar gravitons as dark matter candidates.

Abstract

In a previous article due to one of the present authors (YFP), an extension to General Relativity, violating general covariance to the residual unimodular one, was proposed. As a manifestation of such a violation, there appears the (massive) scalar graviton in addition to the massless tensor one. The former was proposed as a candidate on the dark matter in the Universe. In a subsequent article (Yu. F. Pirogov, MPLA 24, 3239, 2009;arXiv:0909.3311 [gr-qc]), an application of the extension was developed. Particularly, a regular solution to the static spherically symmetric equations in empty space was studied by means of analytical methods. This solution was proposed as a prototype model for the galaxy soft-core dark halos, with the coherent scalar-graviton field as dark matter. The present report is a supplement to the aforementioned article. The statements of the latter are verified and visualized by means of numerical analysis and symbolic calculations. The nice validity of analytical results is found.