Joule‐Thomson Expansion and Optical Behaviour of Reissner‐Nordström‐Anti‐de Sitter Black Holes in Rastall Gravity Surrounded by a Quintessence Field

Abstract

This paper deals with the thermodynamics, Joule‐Thomson expansion and optical behaviour of a Reissner‐Nordström‐anti‐de Sitter black hole in Rastall gravity surrounded by a quintessence field. The black hole solution obtained in this framework is different from a corresponding black hole in General Relativity. The black hole metric function, as well as the Hawking temperature, is affected by the presence of energy‐momentum conservation violation. The presence of energy‐momentum conservation violation also affects the isenthalpic and inversion temperature curves, and with an increase in the Rastall parameter, the inversion temperature rises slowly. The impacts of other parameters, such as charge, structural constant etc., are investigated and compared. The black hole shadow, as well as the energy emission rate of the black hole, decreases with an increase in the Rastall parameter. Hence, the black holes evaporate slowly in presence of energy‐momentum conservation violation.

Quasinormal Modes and Greybody Factors of de Sitter Black Holes Surrounded by Quintessence in Rastall Gravity

“…In our investigation, we shall use this black hole spacetime which was previously used in ref. [45].…”

“…Now, considering the metric function f (r) given in Equation ( 14), the metric described by Equation (6) undergoes modifications as, [45]…”

“…the equation of state parameter $$\omega _s = -1/3$$. With this assumption, the lapse function will be found as follows $$$$\begin{equation} f(r) = 1 - \frac{2M}{r} +\frac{Q^2}{r^2} + N_s r^{\frac{4 \beta }{1-2 \beta }} - \frac{\Lambda r^2}{3-12 \beta }, \end{equation}$$$$and the associated energy density is [ 45 ] $$$$\begin{equation} \rho _s (r)=\frac{(2 \beta +1) (4 \beta -1) N_s r^{\frac{4 \beta }{1-2 \beta }-2}}{(1-2 \beta)^2 }. \end{equation}$$$$The integration constants $$M$$ and $$N_s$$ in this context correspond to the black hole mass and the structural characteristics of the black hole's surrounding field, respectively.…”

“…Recently, in ref. [45], an anti-de Sitter black hole solution in Rastall gravity surrounded by quintessence field in the presence of linear charge distribution has been considered which shows that the violation of energy-momentum conservation has notable consequences on the black hole the Hawking temperature.…”

“…Building upon the existing research, this study aims to further investigate the quasinormal modes and greybody factors of the black hole solution investigated in ref. [45], the Reissner‐Nordström‐ black holes in Rastall gravity surrounded by a quintessence field in the presence of a non‐vanishing cosmological constant (de‐Sitter). By exploring the scalar quasinormal modes, we aim to deepen our understanding of the effects and implications of Rastall gravity on the dynamics and characteristics of black holes.…”