Quantum corrections to the accretion onto a Schwarzschild black hole in the background of quintessence

Abstract

It is well known that quantum effects may lead to removal of the intrinsic singularity point of back holes. Also, the quintessence scalar field is a candidate model for describing late-time acceleration expansion. Accordingly, Kazakov and Solodukhin considered the existence of back-reaction of the spacetime due to the quantum fluctuations of the background metric to deform a Schwarzschild black hole, which led to a change of the intrinsic singularity of the black hole to a 2-sphere with a radius of the order of the Planck length. Also, Kiselev rewrote the Schwarzschild metric by taking into account the quintessence field in the background. In this study, we consider the quantum-corrected Schwarzschild black hole inspired by Kazakov–Solodukhin’s work, and the Schwarzschild black hole surrounded by quintessence deduced by Kiselev to study the mutual effects of quantum fluctuations and quintessence on the accretion onto the black hole. Consequently, the radial component of the 4-velocity and the proper energy density of the accreting fluid have a finite value on the surface of its central 2-sphere due to the presence of quantum corrections. Also, by comparing the accretion parameters in different kinds of black holes, we infer that the presence of a point-like electric charge in the spacetime is somewhat similar to some quantum fluctuations in the background metric.

Regularity of a General Class of “Quantum Deformed” Black Holes

“…This is not algebraically solvable for general n, though we do have the obvious bounds that r H > 2m and r H > a. Furthermore, for small a, we can use (16) to find an approximate horizon location by iterating the lowest-order approximation r H = 2m + O(a 2 /m) to yield…”

“…Historically, various treatments of a quantum-corrected Schwarzschild metric have been performed in multiple different settings [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. A specific example of such a metric is the "quantum deformed Schwarzschild metric" derived by Kazakov and Solodukhin in Reference [1].…”

General class of "quantum deformed" regular black holes

“…Historically, various treatments of a quantum-corrected Schwarzschild metric have been performed in multiple different settings [2][3][4][5][6][7][8][9][10]. A specific example of such a metric is the "quantum deformed Schwarzschild metric" derived by Kazakov and Solodukhin in reference [1].…”

Exact solution for accretion onto a moving charged dilaton black hole

“…The pioneers works in this field were published in [1][2][3][4][5]. Since then accretion has been an extensively studied subject in the literature, see for example [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. These studies mainly focused on accretion rate, critical radius, flow parameters, and so on.…”