RDM-stars and related topics

TL;DR

This paper advances the RDM-star model of black holes coupled with dark matter flows, integrating observational data on galaxy rotation curves and fast radio bursts to refine parameters and explore novel solutions like tachyonic flows and negative mass shells.

Contribution

It provides a combined analysis of RCs and FRBs within the RDM-star framework, constrains model parameters, and introduces new solutions such as tachyonic ovens and shell condensates.

Findings

RDM-star model can reproduce observed galaxy rotation curves.

The model can generate signals consistent with fast radio bursts.

A Tully-Fisher relation with slope 3-4 is derived from the model.

Abstract

In this paper, we will continue to study the model of black holes coupled to the radial flows of dark matter (RDM-stars). According to recent studies, this model well describes the experimental Rotation Curves (RCs) of spiral galaxies, also, RDM-stars can produce signals with the characteristics of Fast Radio Bursts (FRBs). In this paper, we will perform a combined analysis of experimental data on RCs and FRBs, which will allow to constrain tighter parameters of the model. We will also show that within the framework of the model, the Tully-Fisher relation with a slope of $ \beta = 3-4 $ can be obtained. Further, several particular solutions will be considered: tachyonic oven -- a solution in which the incoming flow of tachyons turns into an outgoing flow of massive particles; shell condensate -- a naked singularity of negative mass covered by a thin shell of positive mass, so that the Schwarzschild solution of negative mass inside is joined to one of positive mass outside; also, an RDM solution with a cosmological constant will be considered. Further, in the model under consideration, Penrose diagrams will be constructed, which share common features with Schwarzschild solutions of positive and negative mass, whose combination the model is. The mechanism of effective formation of negative masses in the model is discussed, which is activated when the density of the central core exceeds the Planck value, similarly to the previously studied quantum bounce effect.