Narrow Results

We study thermodynamics and quantum tunneling of the Reissner–Nordström black hole with deficit solid angle and quintessence. We employ black hole thermodynamical laws and Parikh–Wilczek’s semiclassical tunneling process to obtain expressions of some thermodynamics quantities, Boltzmann factor, and entropy variation of the black hole. Regarding black hole background as dynamical and using conservation laws for energy and charge, we detect the existence of unthermal radiation spectrum and dependence of Boltzmann factor on the background geometry, and on energy and charge of the radiant particle. We explicitly plot variations of temperature, heat capacity, Boltzmann factor, and entropy change for various values of deficit solid angle $𝜖$ and quintessence density ${\rho }_0$. When varying the black hole entropy, there exists a phase transition, which shifts to lower entropy for increasing ${\rho }_0$ and decreasing ${𝜖}^2$. We show that temperature, heat capacity, and quantum tunneling rate are decreased in presence of quintessence and deficit angle parameters.