Phase Transitions of Quintessential AdS Black Holes in M-theory/Superstring Inspired Models

التفاصيل البيبلوغرافية
العنوان: Phase Transitions of Quintessential AdS Black Holes in M-theory/Superstring Inspired Models
المؤلفون: Belhaj, A., Balali, A. El, Hadri, W. El, Hassouni, Y., Torrente-Lujan, E.
سنة النشر: 2020
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology
الوصف: 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.
نوع الوثيقة: Working Paper
DOI: 10.1142/S0217751X21500573
URL الوصول: http://arxiv.org/abs/2004.10647
رقم الأكسشن: edsarx.2004.10647
قاعدة البيانات: arXiv
الوصف
DOI:10.1142/S0217751X21500573