EGUP corrected thermodynamics of RN-AdS black hole with quintessence matter
Abstract: Reissner-Nordstrom anti de Sitter (RN-AdS) black hole, characterized by electric charge and negative cosmological constant,exhibits a rich thermodynamics structure. In this paper, we consider the influence of quintessence, a hypothetical dark energy component with negative pressure. we have computed the extended generalized uncertainty principle (EGUP) corrections to the thermodynamics of RN-AdS black hole, including Hawking temperature, heat capacity, entropy function and pressure. Furthermore, as a special case of EGUP, we have computed and compared the result obtained from the generalized uncertainty principle (GUP) with those from the extended uncertainty principle (EUP). This work contributes to the understanding of the interplay between fundamental physics and the macroscopic properties of black holes, offering a novel perspective on the thermodynamics of RN-AdS black holes in the context of quintessence and quantum gravity corrections. More importantly, we found that, unlike in the case of the Reissner-Nordstrom (RN) black hole, the qualitative behavior for the RN-AdS black hole with quintessence remain largely unchanged, except for minor differences, at the equation of state parameters w=-1/3 and w=-2/3. In addition , unlike RN black holes, the phase transition point of RN-AdS black holes shift to almost zero.
- J. D. Bekenstein, Black holes and entropy, Physical Review D 7, 2333 (1973).
- S. W. Hawking, Particle creation by black holes, Communications in mathematical physics 43, 199 (1975).
- L. J. Garay, Quantum gravity and minimum length, International Journal of Modern Physics A 10, 145 (1995).
- K. Konishi, G. Paffuti, and P. Provero, Minimum physical length and the generalized uncertainty principle in string theory, Physics Letters B 234, 276 (1990).
- S. Capozziello, G. Lambiase, and G. Scarpetta, Generalized uncertainty principle from quantumgeometry, International Journal of Theoretical Physics 39, 15 (2000).
- G. t Hooft, Dimensional reduction in quantum gravity, in Conf. Proc. C, Vol. 930308 (1993) pp. 284–296.
- L. Susskind, The world as a hologram, Journal of Mathematical Physics 36, 6377 (1995).
- J. Maldacena, The large-n limit of superconformal field theories and supergravity, International journal of theoretical physics 38, 1113 (1999).
- B. Gwak, Thermodynamics with pressure and volume under charged particle absorption, Journal of High Energy Physics 2017, 1 (2017).
- E. J. Copeland, M. Sami, and S. Tsujikawa, Dynamics of dark energy, International Journal of Modern Physics D 15, 1753 (2006).
- P. J. Steinhardt, L. Wang, and I. Zlatev, Cosmological tracking solutions, Physical Review D 59, 123504 (1999).
- V. Kiselev, Quintessence and black holes, Classical and Quantum Gravity 20, 1187 (2003).
- D.-W. Yan, Z.-R. Huang, and N. Li, Hawking-page phase transitions of charged ads black holes surrounded by quintessence, Chinese Physics C 45, 015104 (2021).
- B. Lütfüoğlu, B. Hamil, and L. Dahbi, Thermodynamics of schwarzschild black hole surrounded by quintessence with generalized uncertainty principle, The European Physical Journal Plus 136, 976 (2021).
- M.-I. Park, The generalized uncertainty principle in (a) ds space and the modification of hawking temperature from the minimal length, Physics Letters B 659, 698 (2008).
- A. Tawfik and A. Diab, Generalized uncertainty principle: Approaches and applications, International Journal of Modern Physics D 23, 1430025 (2014).
- S. Zhou and G.-R. Chen, Corrected black hole thermodynamics in damour–ruffini’s method with generalized uncertainty principle, International Journal of Modern Physics D 26, 1750062 (2017).
- P. Pedram, A higher order gup with minimal length uncertainty and maximal momentum ii: Applications, Physics Letters B 718, 638 (2012).
- A. F. Ali, Minimal length in quantum gravity, equivalence principle and holographic entropy bound, Classical and Quantum Gravity 28, 065013 (2011).
- K. Nozari and P. Pedram, Minimal length and bouncing-particle spectrum, Europhysics Letters 92, 50013 (2010).
- W. Kim, Y.-W. Kim, and Y.-J. Park, Entropy of the randall-sundrum brane world with the generalized uncertainty principle, Physical Review D 74, 104001 (2006).
- M. Setare, The generalized uncertainty principle and corrections to the cardy–verlinde formula in sads 5 black holes, International Journal of Modern Physics A 21, 1325 (2006).
- E. Maghsoodi, H. Hassanabadi, and W. S. Chung, Effect of the new extended uncertainty principle on black hole thermodynamics, Europhysics Letters 129, 59001 (2020).
- S. Mignemi, Extended uncertainty principle and the geometry of (anti)-de sitter space, Modern Physics Letters A 25, 1697 (2010).
- W. S. Chung and H. Hassanabadi, Black hole temperature and unruh effect from the extended uncertainty principle, Physics Letters B 793, 451 (2019).
- B. Hamil and B. Lütfüoğlu, Effect of the modified heisenberg algebra on the black hole thermodynamics, Europhysics Letters 133, 30003 (2021a).
- B. Hamil and B. Lütfüoğlu, The effect of higher-order extended uncertainty principle on the black hole thermodynamics, Europhysics Letters 134, 50007 (2021b).
- B. Hamil and B. C. Lütfüoğlu, Black hole thermodynamics in the presence of a maximal length and minimum measurable in momentum, Europhysics Letters 135, 59001 (2021c).
- B. Bolen and M. Cavaglia, (anti-) de sitter black hole thermodynamics and the generalized uncertainty principle, General Relativity and Gravitation 37, 1255 (2005).
- M. Sadeghi, Ads black brane solution surrounded by quintessence in massive gravity and kss bound, Modern Physics Letters A 36, 2150202 (2021).
- C. G. Boehmer, N. Tamanini, and M. Wright, Interacting quintessence from a variational approach. i. algebraic couplings, Physical Review D 91, 123002 (2015).
- L. Xiang and X. Wen, A heuristic analysis of black hole thermodynamics with generalized uncertainty principle, Journal of High Energy Physics 2009, 046 (2009).
- A. J. Medved and E. C. Vagenas, When conceptual worlds collide: The generalized uncertainty principle and the bekenstein-hawking entropy, Physical Review. D, Particles Fields 70 (2004).
Paper Prompts
Sign up for free to create and run prompts on this paper.
