Accretion on High Derivative Asymptotically Safe Black Holes

TL;DR

This paper investigates matter accretion onto asymptotically safe black holes, deriving solutions at critical points and analyzing phase flow, revealing unique features of accretion in this quantum gravity scenario.

Contribution

It introduces a detailed analysis of spherical accretion onto asymptotically safe black holes using Hamiltonian dynamical systems, highlighting novel behaviors in quantum gravity models.

Findings

Accretion is possible for various isothermal fluids.

Phase flow analysis reveals unique dynamical features.

Critical point solutions characterize accretion behavior.

Abstract

Asymptotically safe gravity is one effective approach to quantum gravity. It is important to differentiate the modified gravity inspired by asymptotically safe gravity. In this paper, we examine the matter particles dynamics near the improved version of Schwarzschild black hole. We assume that in the context of asymptotically safe gravity scenario the ambient matter surrounding the black hole is of isothermal in nature and investigate the spherical accretion of matter by deriving solutions at critical points. The analysis for the various values of the state parameter for isothermal test fluids, viz., $k=1,~1/2,~1/3,~1/4$ show the possibility of accretion onto asymptotically safe black hole. We formulate the accretion problem as Hamiltonian dynamical system and explain its phase flow in detail which reveals interesting results in asymptotically safe gravity theory.