A Brief Study of Dark Energy Accretion onto Schwarzschild Black Hole : Biswas-Roy-Biswas Type Redshift Parameterization is Chosen

TL;DR

This study investigates dark energy accretion onto Schwarzschild black holes, constraining model parameters with observational data, and analyzing black hole growth over cosmic time within a specific dark energy framework.

Contribution

It introduces a parameterized dark energy model constrained by differential age data and examines its implications for black hole growth through accretion and mergers.

Findings

Dark energy model parameters are well constrained with a broad near-degenerate region.

Black holes have grown significantly since redshift z=3 due to accretion and mergers.

The growth rate depends on radiative efficiency and accretion parameters.

Abstract

In this letter, we have considered accretion of a particular type of Dark Energy model onto a Schwarzschild type black hole. Before using the model, the free parameters of the Dark Energy model have been constrained with differential ages data. A narrow peak on top of a wide plateau in two parameters' distributions indicates a well defined best fit value embedded within a broad region of near-degenerate solutions. This means the data strongly favours one specific parameter value but also permit a wide range with comparable likelihood. Physically, it reflects that the Dark Energy dynamics are locally constrained yet globally insensitive to small parameter variations. An increasing $\log_{10}\left[M(z)/M_{0}\right]$ since $z=3$ signifies that black holes have continuously grown through accretion and mergers within the standard hierarchical formation scenario. The precise rate of this growth depends on the radiative efficiency $\epsilon$, the effective accretion parameter $\lambda_{\rm eff}$, and the cumulative impact of merger events.