اثر گذار فاز هم‌بار بر مُدهای شبه‌نرمالِ سیاه‌چاله‌های باردار پاددوسیته

روشن بخش, فرخنده; کردزنگنه, مهدی; افشار, داود

doi:10.22055/jrmbs.2024.19702

اثر گذار فاز هم‌بار بر مُدهای شبه‌نرمالِ سیاه‌چاله‌های باردار پاددوسیته

نوع مقاله : مقاله پژوهشی کامل

نویسندگان

¹ گروه فیزیک، دانشکده علوم، دانشگاه شهید چمران اهواز، اهواز، ایران

² مرکز تحقیقات لیزر و پلاسما، دانشگاه شهید چمران اهواز، اهواز، ایران

10.22055/jrmbs.2024.19702

چکیده

در این مقاله قصد داریم ارتباط بین فاز ترمودینامیکی سیاه‌چالۀ باردار پاددوسیته و رفتار دینامیکی اختلال نرده‌ای اطراف آن را مورد مطالعه قرار دهیم. بدین منظور، ابتدا با بررسی ترمودینامیک سیاه‌چالۀ باردار پاددوسیته، گذار فاز هم‌بار بین فاز سیاه‌چاله‌های کوچک و بزرگ را بررسی خواهیم نمود. سپس، با در نظر گرفتن یک میدان نرده‌ای در پس‌زمینۀ سیاه‌چاله، به‌حل معادلۀ کلاین-گوردون با استفاده از روش عددی پرتابی پرداخته و بسامد مدهای شبه‌نرمال را به‌دست می‌آوریم. در نهایت، با مقایسۀ رفتار بسامد مدها در فازهای سیاه‌چاله‌های کوچک و بزرگ، نشان می‌دهیم که شیب نمودار قسمت موهومی برحسب قسمت حقیقی بسامدها در این فازها متفاوت است. بنابراین، فاز و گذار فاز ترمودینامیکی سیاه‌چاله را می‌توان از طریق رفتار دینامیکی اختلالات نرده‌ای اطراف آن معین نمود.

کلیدواژه‌ها

موضوعات

گرانش و کیهانشناسی

عنوان مقاله [English]

The isocharge phase transition signature in quasi-normal modes of charged anti-de Sitter black holes

نویسندگان [English]

Farkhondeh Roshan Bakhsh ¹
Mahdi Kord Zangeneh ¹ ²
Davood Afshar ¹ ²

¹ Department of Physics, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, Iran

² Center for Research on Laser and Plasma, Shahid Chamran University of Ahvaz, Ahvaz, Iran

چکیده [English]

In this paper, we aim to investigate the relationship between the thermodynamic phase of a charged anti-de Sitter black hole and the dynamic behavior of scalar perturbations around it. To achieve this goal, we first examine the thermodynamics of the charged anti-de Sitter black hole and analyze the isocharge phase transition between small and large black holes. Next, by considering a scalar field within the background of black hole, we solve the Klein-Gordon equation using the shooting method to determine the frequency of quasi-normal modes. Finally, we compare the behavior of the frequency of quasi-normal modes in the small and large black hole phases, demonstrating the distinct slope of the imaginary part versus the real part curve in these phases. This suggests that the thermodynamic phase and phase transition of the black hole can be identified through the dynamic properties of scalar perturbations around it.

کلیدواژه‌ها [English]

Anti-de Sitter black holes
Isocharge phase transition
Real scalar field
Shooting method
Quasi-normal mode

مراجع

[1] S.W. Hawking, Gravitational Radiation from Colliding Black Holes, Physical Review Letters, 26 (1971) 1344. https://doi.org/10.1103/PhysRevLett.26.1344

[2] J.D. Bekenstein, Black Holes and Entropy, Physical Review D, 7 (1973) 2333-2346. https://doi.org/10.1103/PhysRevD.7.2333

[3] J.M. Bardeen, B. Carter, S.W. Hawking, The four laws of black hole mechanics, Communications in Mathematical Physics, 31 (1973) 161-170. https://doi.org/10.1007/BF01645742

[4] S.W. Hawking, Particle creation by black holes, Communications in Mathematica Physics, 43 (1975) 199-220. https://doi.org/10.1007/BF02345020

[5] S.W. Hawking, D.N. Page, Thermodynamics of Black Holes in Anti-de Sitter Space, Communications in Mathematical Physics, 87 (1983) 577-588. https://doi.org/10.1007/BF01208266

[6] E. Witten, Anti-de Sitter Space, Thermal Phase Transition, And Confinement in Gauge Theories, Advances in Theoretical and Mathematical Physics, 2 (1998) 505-532.

https://doi.org/10.4310/ATMP.1998.v2.n3.a3

[7] A. Chamblin, R. Emparan, C.V. Johnson, R. C. Myers, Charged AdS black holes and catastrophic holography, Physical Review D, 60 (1999) 064018. https://doi.org/10.1103/PhysRevD.60.064018

[8] B.P. Dolan, The cosmological constant and the black hole equation of state, Classical and Quantum Gravity, 28 (2011) 125020. https://doi.org/10.1088/0264-9381/28/12/125020

[9] D. Kubiznak, R.B. Mann, P-V criticality of charged AdS black holes, Journal of High Energy Physics, 07 (2012) 33. https://doi.org/10.1007/JHEP07(2012)033

[10] S. Gunasekaran, R.B. Mann, D. Kubiznak, Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization, Journal of High Energy Physics, 11 (2012) 110. https://doi.org/10.1007/JHEP11(2012)110

[11] A. Dehyadegari, A. Sheykhi, A. Montakhab, Critical behaviour and microscopic structure of charged AdS blackholes via an alternative phase space, Physics Letters B, 768 (2017) 23 5-240. https://doi.org/10.1016/j.physletb.2017.02.064

[12] A. Dehyadegari, A. Sheykhi, Reentrant phase transition of Born-Infeld-AdS black holes, Physical Review D, 98 (2018) 024011. https://doi.org/10.1103/PhysRevD.98.024011

[13] C.V. Vishveshwara, Scattering of gravitational radiation by a Schwarzschild black-hole, Nature, 227 (1970) 936–938. https://doi.org/10.1038/227936a0

[14] S. Chandrasekhar, S. Detweiler, The quasi-normal modes of the Schwarzschild black hole, Proceedings of the Royal Society A, 344 (1975) 441-452. https://doi.org/10.1098/rspa.1975.0112

[15] H.P. Nollert, Quasinormal modes: the characteristic sound of black holes and neutron stars, Classical and Quantum Gravity, 16 (1999) 159-216. https://doi.org/10.1088/0264-9381/16/12/201

[16] K.D. Kokkotas, B.G. Schmidt, Quasi-normal modes of stars and black holes, Living Reviews in Relativity, 2 (1999) 2. https://doi.org/10.12942/lrr-1999-2

[17] B. Wang, Perturbations around black holes, Brazilian Journal of Physics, 35 (2005) 1029-1037. https://doi.org/10.1590/S0103-97332005000700002

[18] S. Fernando, C. Holbrook, Stability and quasi normal modes of charged black holes in Born-Infeld gravity, International Journal of Theoretical Physics, 45 (2006) 1630-1645. https://doi.org/10.1007/s10773-005-9024-9

[19] R.A. Konoplya, A. Zhidenko, Quasinormal modes of black holes: from astrophysics to string theory, Reviews of Modern Physics, 83 (2011) 793-836. https://doi.org/10.1103/RevModPhys.83.793

[20] Y. Liu, D.C. Zou, B. Wang, Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes, Journal of High Energy Physics, 09 (2014) 179. https://doi.org/10.1007/JHEP09(2014)179

[21] S. Priyadarshinee, Quasinormal mode of dyonic hairy black hole and its interplay with phase transitions, The European Physical Journal Plus, 139 (2024) 258. https://doi.org/10.1140/epjp/s13360-024-05044-y

[22] Y. Guo, H. Xie, Y.G. Miao, Signal of phase transition hidden in quasinormal modes of regular AdS black holes, Physics Letters B, 855 (2024) 138801. https://doi.org/10.1016/j.physletb.2024.138801

[23] R. Arnowitt, S. Deser, C.W. Misner, Dynamical Structure and Definition of Energy in General Relativity, Physical Review, 116 (1959) 1322-1330. https://doi.org/10.1103/PhysRev.116.1322

[24] R. Arnowitt, S. Deser, C.W. Misner, Coordinate Invariance and Energy Expressions in General Relativity, Physical Review, 122 (1961) 997-1006. https://doi.org/10.1103/PhysRev.122.997

[25] R. Arnowitt, S. Deser, C.W. Misner, The Dynamics of General Relativity, General Relativity and Gravitation, 40 (1962) 227-264. https://doi.org/10.1007/s10714-008-0661-1

[26] B.P. Dolan, Pressure and volume in the first law of black hole thermodynamics, Classical and Quantum Gravity, 28 (2011) 235017. https://doi.org/10.1088/0264-9381/28/23/235017