Accretion of dark energy onto higher dimensional charged BTZ black hole

Abstract

In this work, we have studied the accretion of the (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 the square root of the energy density of the dark energy which accretes onto the BH in our accelerating FRW universe. We have assumed modified Chaplygin gas (MCG) as a candidate of dark energy which accretes onto the 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 five kinds of parametrizations of well-known darkenergy 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 the quintessence stage, the BH mass increases up to a certain value (finite value) and then decreases to a certain finite value for the phantom stage during the whole evolution of the universe. We have shown these results graphically.

Accretion Flow onto Ellis–Bronnikov Wormhole

“…By taking the two brackets in (22) equal to zero, we can find the critical point of accretion located at r = r c . Sonic points or critical points are the points at which the velocity of the moving fluid definitely equal to the sound speed and maximum accretion rate occurs, where the flow goes through the sonic point.…”

“…Later on, Michel [19] analyzed the accretion process of a steady-state spherically symmetric flow of matter into a compact object. Consequently, several authors studied accretion process of various kinds of matter onto different types of black holes [20][21][22][23][24][25][26][27][28][29][30][31][32][33] and wormholes [34][35][36][37][38][39][40]. We should clarify that we are considering matter flow on the background of EBWH assuming that the Einstein minimally coupled scalar field φ has entirely gone into building the background EBWH geometry and that matter is flowing on top of that geometry.…”

Dark Energy Accretion onto Van der Waal’s Black Hole

“…We will consider a general static spherically symmetric metric [11,12] written as equation (3), where f (r)(> 0) considered as a function of r and M as the mass of the black hole.…”

“…Whenever a phase transition is observed in the black hole, a swallowtail catastrophe is exposed by Gibb's free energy for both the fluid and the black hole. An exact match between the properties of Van der Waal's fluid and a particular type of black holes are tried to be obtained in the references [11,12]. The static spherically symmetric black hole metric obtained by these article is given as…”

Spherical accretion of matter by charged black holes on f ( T ) $f(T)$ Gravity

“…The description of spherical accretion made by Michel is the phenomenon critically, having a certain radius value where the system becomes critical. Considering effects of curvature, we have several results of spherical accretion by black holes [22], and some are for modified gravity [23]. The only pioneer work in considering the zero curvature and the torsion effects on f (T ) Gravity was recently published [24].…”