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

Subhajit Pal, Sukanya Dutta, Ritabrata Biswas

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 $ε$, the effective accretion parameter $λ_{\rm eff}$, and the cumulative impact of merger events.

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

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 since 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 , the effective accretion parameter , and the cumulative impact of merger events.
Paper Structure (34 equations, 1 figure, 1 table)

This paper contains 34 equations, 1 figure, 1 table.

Figures (1)

  • Figure 1: Fig. 1(a)-1(c) represent confidence contours in $\lambda_1-k_1~,~\lambda_1-\lambda_2~,~\lambda_1-k_2~, ~k_1-\lambda_2,~k_2-\lambda_2~\text{and}~k_1-k_2$ planes and individual distributions of free parameters $\lambda_1~,~k_1~, ~\lambda_2~\text{and}~k_2$. 1(d) represents the variation of the $\log\left\{\frac{M}{M_0}\right\}$ due to the accretion of BRB type DE onto Schwarzschild BH.