Thermodynamic effects of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle

Abstract

In this paper, the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated. We calculate the analytical expresses of corresponding thermodynamic variables, e.g. the Hawking temperature, entropy of the black hole. In addition, we derive the heat capacity to analyze the thermal stability of the black hole. We also compute the rate of emission in terms of photons through tunneling. By numerical method, an obvious phase transition behavior is found. Furthermore, according to the general uncertainty principle, we study the quantum corrections to these thermodynamic quantities and obtain the quantum-corrected entropy containing the logarithmic term. At last, we investigate the effects of the magnetic charge g, the dark matter parameter k and the generalized uncertainty principle parameter α on the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle.

Thermodynamics in a quantum corrected Reissner–Nordström–AdS black hole and its GUP-corrections

“…Hence it has still received a lot of attention in recent years. [4][5][6][7][8][9][10] But it also poses many difficulties, for example, the problem of black hole information loss, [11][12][13][14][15] the statistical origin of black hole entropy, [16,17] and black hole temperature dispersion. [18][19][20] It is generally believed that to solve these problems, the unity of general relativity and quantum mechanics is required.…”

“…[51] It comes from a combination of quantum mechanics and general relativity, [20,48] which reveals that the basic physics laws may change under extreme conditions, such as extremely high energy [48,52,53] or extremely strong gravitational field. [8,[54][55][56][57][58] Applying the GUP to black hole physics, the corrections to the thermodynamic quantities are derived and the resolution of the difficulties of black hole thermodynamics is promoted (see Ref. [51] as a review and references therein).…”