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In this paper, we study the quantum-corrected Schwarzschild AdS black hole surrounded by quintessence matter in two folds: its thermal quantities and shadows. For this purpose, first, we present a detailed analysis of the influences of the quintessence matter field on Hawking temperature, mass, Gibbs free energy, and specific heat functions. Then, we examine the shadows by following Carter’s approach. We find that the shadow radius value takes smaller values for greater quintessence state parameter values. On the other hand, we see that the shadow radius takes greater values for greater values of the normalization parameter. Finally, in a brief section, we discuss the energy emission rate and show that the Gaussian-type plots’ peak values are also affected by the quintessence matter field parameters. [ABSTRACT FROM AUTHOR]

Recently, Rajagopal et al. presented an asymptotically AdS black hole metric whose thermodynamics qualitatively mimics the behavior of the Van der Waals fluid by treating the cosmological constant as a thermodynamic pressure. In some studies in the literature, authors have discussed the effects of deformed algebras such as generalized and extended uncertainty principles on the thermal quantities of these black holes. In this paper, we considered another deformation, the rainbow gravity formalism, and we investigated its impact on the Van der Waal black hole thermodynamics. To this end, we first generated the modified lapse and mass functions, and then we derived the modified thermal quantities such as thermodynamic volume, Hawking temperature, entropy, and specific heat functions. Finally, we explored the thermodynamics of a black hole, which mimics the thermodynamics of an ideal gas, under the influence of the rainbow gravity formalism. [ABSTRACT FROM AUTHOR]

Recently, thermodynamics has given an important aspect of black hole physics, and it is being used as a solemn tool in characterizing the physicality and viability of many black hole (BH) solutions. On the other hand, Heisenberg algebraic deformations, which predict a lower bound to position and/or momentum, are interrogated to have a theory of quantum gravity. In this paper, we consider a combined deformation of the generalized uncertainty and extended generalized uncertainty principles (EGUP) and investigate the EGUP-corrected thermal quantities of the rotating charged BTZ BH. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the influence of the extended uncertainty principle (EUP) on the thermodynamics of a charged rotating Bañados, Teitelboim and Zanelli (BTZ) black hole in (2 + 1)-dimensional anti-de Sitter (AdS) space–time. To this end, we derive EUP-corrected Hawking temperature, pressure, entropy, Gibbs free energy and heat capacity functions. We observe that EUP-based quantum corrections decrease pressure and entropy functions in AdS space–time. Such decreases show up itself only in physically meaningful region for Gibbs free energy and specific heat functions. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the thermal properties of the rotating charged BTZ black hole under the gravity's rainbow (GR) and generalized uncertainty principle (GUP) formalism. At first, we study the GR-corrected thermal quantities according to the usual Heisenberg algebra. Then, we consider a deformed algebra which leads to a change in the Heisenberg uncertainty principle, and compare the Hawking temperature, entropy and heat capacity functions with the previous results. Thus, we understand and interpret the quantum effects on the BTZ black hole. [ABSTRACT FROM AUTHOR]

One of the foremost goals of theoretical modern physics is to obtain a reliable theory of quantum gravity. In so doing, new fundamental scales are being proposed. For example, in the Snyder–de Sitter (SdS) model, two scales manifest which relate measurement limits of the position and momentum. In this work, we study the thermodynamic functions of the Schwarzschild black hole in the SdS model within the presence of position independent and dependent gravity's rainbow. Heuristically, we prove the presence of a nonzero lower bound value of the horizon, mass and temperature of the black hole. Then, we present the stability and remnant conditions of the black hole according to the entropy and heat capacity functions. [ABSTRACT FROM AUTHOR]

According to some quantum gravity models, Lorentz invariance can be violated in the Planck energy scale. With this motivation, we analyze the thermal quantities and the stability of Schwarzschild black hole surrounded by quintessence in gravity's rainbow formalism. To do that, we consider the rainbow functions which are motivated by loop quantum gravity and gamma-ray bursts, and we derive Hawking temperature, specific heat, entropy and the equation of state function. We observe that the presence the quintessence matter field and rainbow gravity affect the stability of the black hole. [ABSTRACT FROM AUTHOR]