بهینه سازی غیرخطی روی جوابهای سیاهچاله های ناتکین

مهدی پور, سید حمید; قانع کنفی, آرمین; پیغون, سید محسن

doi:10.22055/jrmbs.2022.17346

بهینه سازی غیرخطی روی جوابهای سیاهچاله های ناتکین

نوع مقاله : مقاله پژوهشی کامل

نویسندگان

¹ گروه فیزیک، دانشکده علوم پایه، دانشگاه آزاد اسلامی واحد لاهیجان، لاهیجان، ایران

² گروه ریاضی، دانشکده علوم ریاضی، دانشگاه آزاد اسلامی واحد لاهیجان، لاهیجان، ایران

³ پژوهش سرای دانش آموزی ابن شهر آشوب، اداره آموزش و پرورش، ناحیه 1، ساری، ایران

10.22055/jrmbs.2022.17346

چکیده

این مقاله، با بهره گیری از رهیافت بهینه سازی غیر خطی، به جستجوی جوابهای بهینه برای حالتهای مختلف از سیاهچاله های ناتکین در فضا-زمان ناجابجایی که شامل قیود غیرخطی از نوع نامساوی هستند، پرداخته است. به منظور حل مسألة بهینه سازی غیرخطی منتج از مدل فیزیکی، از روش برنامه ریزی درجه دوم متوالی بهره گرفته می شود. در چارچوب مذکور، یک جواب بیشینه بهینه به ازای مقادیری ویژه از پارامترهای آزاد مسأله برای تابع عدم قطعیت لاگرانژی بدست می آید؛ بطوریکه حالت بهینه تا حدودی مستقل از اثرات کوانتومی بوده و جوابی متناظر با حالت کلاسیک در فواصلی بسیار کوتاه حاصل گردیده است. به عبارت دیگر، مرحله نهایی تبخیر سیاهچاله ها تنها به خاصیت ذاتی از خمینه1 در هندسه ناجابجایی به صورت جزئی وابسته است و مستقل از بار مغناطیسی می باشد؛ با این وجود، اثرات ناجابجایی هرچند بسیار اندک به تنهایی کفایت می کنند تا باعث ایجاد پسماندهایی در پایان عمر سیاهچاله ها گردند و از تکین شدن جواب کلاسیک در مقیاس ریز فضا-زمان جلوگیری نمایند.

کلیدواژه‌ها

موضوعات

گرانش و کیهانشناسی

عنوان مقاله [English]

Nonlinear optimization on regular black hole solutions

نویسندگان [English]

Sayed Hamid Mehdipour ¹
Armin Ghane Kanafi ²
Seyed Mohsen Peyghoon ³

¹ Department of Physics, College of Basic Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran

² Faculty member of Department of Mathematics, College of Math Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran

³ Ibne Shahr Ashoob-e Saravi Student Research Center, Administration of Education, District 1, Sari, Iran

چکیده [English]

Using a nonlinear optimization approach, this paper seeks to find optimal solutions for different states of nonsingular black holes in noncommutative space-time that include nonlinear constraints of the inequality type. In order to solve the nonlinear optimization problem resulting from the physical model, the successive quadratic programming method is used. In the mentioned framework, an optimal maximum solution of the Lagrangian uncertainty function is obtained for the particular values of free parameters of the problem, so that the optimal state is somewhat independent of quantum effects and the solution corresponding to the classical state is achieved in very short distances. In other words, the final stage of evaporation of black holes depends only in part on the inherent property of manifold in noncommutative geometry and is independent of the magnetic charge. However, the noncommutative effects, albeit trivial, are individually sufficient to generate remnants at the end of black holes' lifetime and prevent the classical solution from being singular on a microscopic scale of space-time.

کلیدواژه‌ها [English]

Nonlinear electrodynamics
Hayward black hole
Noncommutative effects
Hawking radiation
Uncertainty principle
Nonlinear optimization method
Successive quadratic programming

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