CERN Accelerating science

Article
Report number arXiv:2004.10647 ; FISPAC-TH/20-31415 ; UQBAR-TH/20-27182
Title Phase transition and shadow behaviors of quintessential black holes in M-theory/superstring inspired models
Related titlePhase Transitions of Quintessential AdS Black Holes in M-theory/Superstring Inspired Models
Author(s) Belhaj, A. (Rabat U.) ; El Balali, A. (Rabat U.) ; El Hadri, W. (Rabat U.) ; Hassouni, Y. (Rabat U.) ; Torrente-Lujan, E. (Murcia U. ; CERN)
Publication 2021-04-01
Imprint 2020-04-22
Number of pages 28
In: Int. J. Mod. Phys. A 36 (2021) 2150057
DOI 10.1142/S0217751X21500573
Subject category hep-ph ; Particle Physics - Phenomenology ; gr-qc ; General Relativity and Cosmology ; hep-th ; Particle Physics - Theory
Abstract We study $d$-dimensional $AdS$ black holes surrounded by Dark Energy (DE), embedded in $D$-dimensional M-theory/superstring inspired models having $AdS_d \times \mathbb{S}^{d+k}$ space-time with $D=2d+k$. We focus on the thermodynamic Hawking-Page phase transitions of quintessential DE black hole solutions, whose microscopical origin is linked to $N$ coincident $(d-2)$-branes supposed to live in such $(2d+k)$-dimensional models. Interpreting the cosmological constant as the number of colors $\propto N^{\frac{d-1}{2}}$, we calculate various thermodynamical quantities in terms of brane number, entropy and DE contributions. Computing the chemical potential conjugated to the number of colors in the absence of DE, we show that a generic black hole is more stable for a larger number of branes for lower dimensions $d$.In the presence of DE, we find that the DE state parameter $\omega_q$ should take particular values, for $(D,d,k)$ models, providing a non trivial phase transition structure.
Copyright/License preprint: (License: arXiv nonexclusive-distrib 1.0)
publication: © 2021-2026 World Scientific Publishing



Corresponding record in: Inspire


 แƒฉแƒแƒœแƒแƒฌแƒ”แƒ แƒ˜ แƒจแƒ”แƒฅแƒ›แƒœแƒ˜แƒšแƒ˜แƒ 2020-05-21, แƒ‘แƒแƒšแƒแƒก แƒจแƒ”แƒกแƒฌแƒแƒ แƒ”แƒ‘แƒฃแƒšแƒ˜แƒ 2023-10-04


แƒกแƒ แƒฃแƒšแƒ˜ แƒขแƒ”แƒฅแƒกแƒขแƒ˜:
แƒกแƒ แƒฃแƒšแƒ˜ แƒขแƒ”แƒฅแƒกแƒขแƒ˜แƒก แƒฉแƒแƒ›แƒแƒขแƒ•แƒ˜แƒ แƒ—แƒ•แƒ
PDF