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

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


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
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