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Dynamical Properties of Specific Black Holes

Thesis Info

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Author

Shahzad, Muhammad Umair

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/10426/1/M%20Umair%20Shahzad_Maths_2018_Comsats_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725930018

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The present thesis comprises the study of three dynamical phenomenon such as thermal fluctuations, accretion and tidal forces of black holes/regular black holes. We consider the logarithmic corrected entropy in order to analyze the thermal fluctuations. We examine the effects of thermal fluctuations on a regular black hole of the non-minimal Einstein-Yang-Mill theory with gauge field of magnetic Wu-Yang type and a cosmological constant. We investigate the first law of thermodynamics in the presence of logarithmic corrected entropy and non-minimal regular black hole. Furthermore, we discuss the thermal fluctuation problem by utilizing the higher order corrected entropy. We examine the thermodynamical behavior of two well-known black holes such as Reissner-Nordström Anti de Sitter black hole with global monopole and f(R) black hole in the presence of higher order corrected entropy. We also discuss the accretion problem in two phases. In first phase, we analyze the accretion onto static spherically symmetric regular black holes for specific choices of the equation of state parameter. The underlying regular black holes are charged regular black holes using the Fermi-Dirac distribution, logistic distribution, non-linear electrodynamics, respectively, and Kehagias-Sftesos asymptotically flat regular black holes. In second phase, we develop the Hamiltonian dynamical system to tackle the accretion problem. We investigate the accretion of test fluids onto regular black holes such as Kehagias-Sftesos black hole and regular black holes with Dagum distribution function. We analyze the accretion process when different test fluids are falling onto these regular black holes. The behavior of fluid flow and the existence of sonic points is being checked for these regular black holes. Finally, we investigate the tidal forces occurring in a Kiselev black hole surrounded by radiation and dust fluids. We also solve the geodesic deviation equation for radially free-falling bodies toward Kiselev black hole. We explain the geodesic deviation vector graphically and point out the location of the event and Cauchy horizons for specific values of the radiation and dust parameters.
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مولانا محمد یوسف بنوری

مولانا محمد یوسف بنوری
۱۹۲۷؁ء کا زمانہ تھا، میں اس وقت ندوہ میں پڑھتا تھا، درس کے دوران اور بحث و تحقیق کے سلسلہ میں مولانا انور شاہ صاحب کشمیریؒ کا تذکرہ ہوتا تھا، ہمارے استاد مولانا حیدر حسن خاں صاحب شاہ صاحب سے بخوبی واقف تھے، اُن کی مجلس میں شاہ صاحب مرحوم کی وسعت علم، بے نظیر حافظہ، ندرتِ فکر، اور دقت نظر کا ذکر آتا تھا، شاہ صاحب کے بعض شاگرد بھی کبھی کبھی آجاتے اور اپنے استاد کے علم و کمال کا والہانہ ذکر کرتے، گرمیوں کی چھٹی میں مولانا سیدطلحہ پروفیسر اورینٹل کالج لاہور لکھنؤ آتے، مولانا حیدر حسن خاں صاحب مرحوم اُن کے شفیق استاد تھے، ٹونک اُن کا وطن تھا، اس طرح تلمذ کے ساتھ وطن کی مشارکت بھی اُن کو ندوہ لاتی، اور بعض اوقات کئی کئی دن مولانا حیدر حسن خاں کے ہاں ان کا قیام رہتا، مولانا طلحہ کی عقیدت اور مولانا حیدر حسن خاں کی شفقت قابل دید ہوتی۔
مولانا سید طلحہ صاحب نے مولانا انور شاہ صاحبؒ کو قریب سے دیکھا تھا، اور ان کے حلقہ درس میں کئی بار بیٹھے تھے، اُن کی مخصوص صحبتوں میں بھی شریک ہوئے تھے، علوم اسلامیہ پر خود اُن کی اچھی نظر تھی، خصوصاً تفسیر حدیث، اور رجال کا بہت اچھا مطالعہ تھا، حافظہ بھی غضب کا پایا تھا، لیکن بایں ہمہ وہ شاہ صاحب سے بہت زیادہ متاثر تھے، اور ان کی وسعت نظر، حفظ و اتقان، مہارت علوم، اور مجہتدانہ صلاحیت کے بیحد معترف تھے، ان کا تذکرہ بڑے کیف و وجد کے ساتھ کرتے، کہا کرتے تھے، کہ اگر میں نے مولانا انور شاہ صاحب کو نہ دیکھا ہوتا، اور اُن کے حافظے کا ذاتی تجربہ نہ ہوتا، تو مجھے ان رواتیوں کو تسلیم کرنے میں تامل ہوتا جو کتابوں میں سلف کے حافظے کے بارے...

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