Accretion of dark energy onto higher dimensional charged BTZ black hole

Ujjal Debnath

doi:10.1140/epjc/s10052-015-3678-0

Abstract

In this work, we have studied the accretion of $(n+2)$-dimensional charged BTZ black hole (BH). The critical point and square speed of sound have been obtained. The mass of the BTZ BH has been calculated and we have observed that the mass of the BTZ BH is related with square root of the energy density of dark energy which accretes onto BH in our accelerating FRW universe. We have assumed modified Chaplygin gas (MCG) as a candidate of dark energy which accretes onto BH and we have found the expression of BTZ BH mass. Since in our solution of MCG, this model generates only quintessence dark energy (not phantom) and so BTZ BH mass increases during the whole evolution of the accelerating universe. Next we have assumed 5 kinds of parametrizations of well known dark energy models. These models generate both quintessence and phantom scenarios i.e., phantom crossing models. So if these dark energies accrete onto the BTZ BH, then in quintessence stage, BH mass increases upto a certain value (finite value) and then decreases to a certain finite value for phantom stage during whole evolution of the universe. We have shown these results graphically.

Highlights

In Newtonian theory, the problem of accretion of matter onto the compact object was formulated by Bondi [17]
The accretion of phantom energy onto a static Schwarzschild black hole was first proposed by Babichev et al [19,20] and one established that the black-hole mass will gradually decrease due to a strong negative pressure of the phantom energy and all the masses tend to zero near the big rip where it will disappear
Jamil [21] has investigated the accretion of a phantom-like variable modified Chaplygin gas onto the Schwarzschild black hole and showed that the mass of the black hole will decrease for dark-energy accretion and otherwise will increase

Summary

Introduction

In Newtonian theory, the problem of accretion of matter onto the compact object was formulated by Bondi [17]. Jamil [21] has investigated the accretion of a phantom-like variable modified Chaplygin gas onto the Schwarzschild black hole and showed that the mass of the black hole will decrease for dark-energy accretion and otherwise will increase. There has been a growing interest in the study of the black-hole (BH) solution in (2+1) dimensions. Charged BTZ-like black holes in higher dimensions have been studied by Hendi [49]. 2, we assume the (n + 2)-dimensional charged BTZ black hole (BH) in the presence of a dark-energy filled universe. Our main motivation for this work is to examine the natures of the mass of the black hole during the accelerating expansion of the FRW universe if several kinds of dark energies accrete around the BH.

Accretion phenomena of higher dimensional charged BTZ black hole

Dark energy accretes upon BTZ BH

Modified Chaplygin gas

Some parameterizations of dark-energy models

Discussions