Relativistic dust accretion onto a scale-dependent polytropic black hole

Abstract

In this work we study steady and spherical relativistic dust accretion onto a static and spherically symmetric scale-dependent black hole. In particular we consider a polytropic scale-dependent black hole as a central object and obtain that the radial velocity profile and the energy density are affected when scale-dependence of the central object is taken into account and such a deviation is controlled by the so called running parameters of the scale-dependence models.

Five-dimensional scale-dependent black holes with constant curvature and Solv horizons

“…[8], it remains to be seen if all the classical black holes with Thurston geometries have their scale-dependent counterparts. Interestingly, all the solutions found incorporate the same running for the Newton coupling without invoking the null energy condition, in contrast with some previous works [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. It is remarkable that, at lower dimensions, the null energy condition supplements the set of equations to be solved.…”

“…During the last years, scale-dependent gravity has been used to construct black hole backgrounds both by improving classical solutions with the scale dependent couplings from Asymptotic Safety [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73] and by solving the gap equations of a generic scale-dependent action [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. This last approach has revealed certain non-trivial features regarding the black hole entropy and the energy conditions.…”

“…where k = ±1 stands for the curvature of the horizon. It is worth mentioning that the scale-dependent system can be integrated without providing some extra information, in contrast to which occurs in lower dimensional cases [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. To be more precice, in 2 + 1 and 3 + 1-dimensional space-times, the scale-dependent system is undeterminated: we have more unknowns that equations to be solved, so decreasing the degrees of freedom is mandatory.…”

“…Regarding the scale-dependent scenario, we remark that the formalism allows to obtain generalized black hole solutions for several symmetries [13,14,[16][17][18][19][20][21][22][23][24][25][26][27][28][29]. These solutions, however, introduce relevant correction for small values of k (i.e.…”

“…Therefore, it is our interest to model, if possible, the event horizon of certain black holes beyond General Relativity by some of the eight Thurston three-geometries. As a preliminary step in order to attack more general cases, in this work we will consider black hole solutions embedded in the so-called scale-dependent gravity [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] which, as it is well known, has become an alternative tool to introduce semiclassical corrections in black hole solutions in 2 + 1 and 3 + 1 dimensional spacetimes.…”