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Particle Dynamics and Some Thermodynamics Aspects of Black Holes

Thesis Info

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Author

Majeed, Bushra

Program

PhD

Institute

National University of Sciences & Technology

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/123456789/9917/1/Bushra%20Majeed.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726841380

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Dynamics of particles around black holes is one of the interesting topics in general relativity. It helps us in understanding the geometrical structure of the spacetime around black holes. Geodesics of particles may display a rich structure and they can convey very reliable facts to understand the geometry of black holes. Also black holes and thermodynamics have an intimate connection and it is interesting to study thermodynamics at black hole horizons. In this thesis we have studied the e ect of a magneticeld on 3-dimensional dynamics of charged particles in the vicinity of weakly magnetized black holes. We have considered the dynamics of test particles (both neutral and charged) moving in the vicinity of black holes, falling freely from in nity. Timelike geodesics of particles, their escaping behavior from the vicinity of black holes, e ective potentials, and center of mass energies of colliding particles are studied in detail for the following black holes: (i) The Reissner-Nordström black hole surrounded by quintessence (ii) Weakly magnetized Kiselev solution and (iii) weakly magnetised Reissner-Nordstöm black hole. E ect of the geometry of spacetimes on the motion of particles is investigated. To bring the thermodynamics of black holes into the account we have also determined products of black hole thermodynamics parameters at horizons of the Kiselev solution. In therst chapter of the thesis basic concepts of black holes are brie y reviewed. 4 5 In the second chapter we have investigated non-singular coordinates for the Reissner-Nordström black hole surrounded by quintessence. Geodesics of particles are unde ned at horizons of a black hole. This could be avoided by removing the coordinate singularity of the spacetime. By studying the non-singular coordinate system we have obtained timelike geodesics in the new coordinate system. It is emphasized that complete geodesics of the particle can be obtained by removing the coordinate singularity. In the third and fourth chapters we have studied the dynamics of particles in the geometry of a weakly magnetized Schwarzschild black hole surrounded by quintessence and weakly magnetised Reissner-Nordström black hole respectively. Equations of motion are derived using Euler-Lagrange equations. Trajectories of escaping particles are obtained and the e ect of magneticeld on trajectories is analysed. In thefth chapter, we have discussed some aspects of thermodynamics for the Kiselev solution. The study includes products of thermodynamics parameters at horizons of black holes.
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اتحادِ ملّت

اتحادِملت
نحمدہ ونصلی علی رسولہ الکریم امّا بعد فاعوذ بااللہ من الشیطن الرجیم
بسم اللہ الرحمن الرحیم
معزز اسا تذہ کرام اور میرے ہم مکتب ساتھیو!
السلام علیکم ! آج مجھے جس موضوع پر گفتگو کرنی ہے وہ ہے:’’اتحاد ملت ‘‘
جنابِ صدر!
اتحاد کا لفظ بڑی جاذبیت کا حامل ہے، اتحاد ،متحد ،متحدہ وغیرہ کے الفاظ اگر جائز استعمال ہو ںتو ان کے معنی میں ایک حسن پیدا ہو جاتا ہے۔ چند اینٹیں متحد ہو جائیں تو ایک مکان کی تعمیر کر دیتی ہیں، ایک عمارت بنا دیتی ہیں، ایک دیوار کھڑی کر کے بے پردہ گھر کو باپردہ بنادیتی ہیں۔ چند قطرے متحد ہوجائیں تو وُہ بحیر ہ اور بحر کی شکل اختیار کر لیتے ہیں۔
صدرِذی وقار!
اتحاد جس صورت میں بھی موجود ہو قابل صدتحسین تصور کیا جاتا ہے، جو قوم ملی اتحاد کی دولت سے مالا مال ہوتی ہے وہ ہر لحاظ سے مسرور اور خوش و خرم ہوتی ہے۔ اس کی فضاؤں میں آلودگی نہیں ہوتی ، اس کے کھلیانوں میں خس و خاشاک نہیں ہوتے ، اس کے حجر اور شجر پر جہالت کی گر دنہیں ہوتی، اس کے باشندگان کی عروق مردہ نہیں ہوتیں، اس کے میدان ویران نہیں ہوتے، اس کے ہسپتال آباد نہیں ہوتے۔
جنابِ صدر!
تاریخ کی ورق گردانی کریں اور مطالعہ کی میز سے تساہل اور غفلت کی گرد دورکریں تو پتہ چلتاہے کہ جو کام متحدہ اقوام نے کیا وہ اختلاف کا شکار قو میں کسی صورت سرانجام نہ دے سکیں، اور ہمیشہ ماہی بے آب کی طرح تڑپ کر، حقیر حشرات الارض کی طرح رینگ کر ، مردار کے گرد گدھ کی طر ح منڈ لا کر زندگی گزارنے کے لئے مجبور ہوگئیں۔
جنابَ صدر!
اسلام میں اتحاد پر بڑا زور دیا گیا ہے حدیث پاکؐ میں ہے کہ...

مقاصد شریعت کا تصور اور ان کا اطلاق

According to Islamic Jurists the main objectives, or purpose of Islamic Law (Shariah) are the preservation of faith, life, intellect, progeny, and wealth. These five purposes are designated as necessities of life and these are the primary purposes of the Shariah (Islamic Law). Protection of faith is the first and foremost objective of the Islamic Law as the Quran clearly mentions worship of Allah as the purpose of creation of human being.  Protection of life is the second purpose and according to Islamic teachings human life is sacred. The Quran clearly forbids taking human life of a person without justification. Protection of Intellect is the third purpose as human being has been given superiority over other creatures by virtue of intellect and reason. A Person with sound mind and intellect can think, act, react well, this is why Islam prohibits all kinds of intoxicants because they are harmful and may disturb faculty of reasoning. Protection of Progeny is the fourth purpose as Islam emphasizes on the establishment of lawful relationship between man and woman. It is the foundation for the establishment of a value-based society. Islam considers unlawful relation harmful for individuals and community. This is the reason that Islam prohibits adultery. Protection of wealth is the fifth purpose and the Islamic teachings’ emphasis on acquisition of wealth by lawful means. While the Quran enjoins that one should not earn wealth by unlawful means.  These dharurat (necessities are followed by the hajat (needs) and thasinat (complementary values). However the scope of these purposes goes beyond them and they include protection of civilization, culture, establishing peace, harmony, security, elimination of violence, maintenance of equality, and so on.  In this article all these five kinds of dharurat (necessities) have been elaborated while in the last portion a review has been carried out for their relevance and implementation in the contemporary era.

The Impact of Leisure-Time Television on the Academic Achievement of 5 Th Class Students

THE IMPACT OF LEISURE-TIME TELEVISION ON THE ACADEMIC ACHIEVEMENTS OF 5 TH CLASS STUDENTS Contents of the Dissertation Over the past decades, the term global culture and cultural globalization have come to the forefront of international communication. Media of Mass Communication has reduced the vast world to the point where Marshall Mc Luhan’s notion of a global village has become a virtual reality. Media research over the years has focused on three major themes:- (1) The Effects of Violence in Mass Media on American Culture. (2) The Effects of erotica in the media on Culture and (3) The Effects of Mass media on Children. The concern over media began with the invention of television in 1920. The first major media effects studies “The Payne Fund Studies” was conducted in 1929. Television is one of the most powerful and an integrated global medium of mass communication. Now, television has been a common & constant source of socialization all over the world. The works begin with Chapter 1: “Introduction” that gives an introductory discussion of research, focus and goals of the study. Chapter 2: “The Review of Related Literature” looks at the agenda-setting literature and overview of theoretical perspectives of mass communication, derive of the major hypothesis and research on television viewing and academic achievements. Chapter 3: “The research Methodology” takes a close look at the research procedures particularly in terms of the impact of television viewing on the academic achievement of 5 th class student in Pakistan. Chapter 4: “Analysis of Data” presents composition of sample, testing of the major hypothesis and item-wise analysis of data. Chapter 5: “Summary, Findings, Conclusion & Recommendations” reports the description of the study, findings of testing of major hypothesis, findings of the item-wise analysis of data: (students, teacher and parents) and the findings of the comparison between television viewing & academic achievements and also summary of the findings of Teachers & Parents on the topic. Finally, conclusion and recommendations present a key findings of the study and future research was suggested. Scope & Purpose The significance and relationship of Mass Media, In the field of education are well recognized. The primary education is considered universally, the most important level of education. It contributes towards literacy, Socio-Economic development of a country and individual itself. However, the academician and researchers have always seen television as the most dominant Mass Media and a key ingredient in national, regional and global development. They have focused in their studies the influence of Mass media specially television on children of primary education and revealed that the impact of television has been instant and profound. In fact, there is still need of more training in the strategic management of television viewing so that children can play their role more effectively to the nation.v Problem under investigation In Pakistan, children grow up spending much of their free time watching television. Their childhood and life are shaped by the television. Today this concern increasing as our society sees a growing number of latchkey children who spend their After-School hours in front of Television set. The study explored the major influence of television and relationship between children relative amount, nature, and extent of television viewing and their academic achievement in the schools in Karachi, Pakistan. Specifically, there were two main purposes of the study. (1) a). To conduct an intensive survey and to determine “The Impact Of Leisure-Time Television On The Academic Achievements Of 5 th Class Students”. b). To analyze the views of teachers and parents on impact of television viewing on children’s academic performance. (2) To make recommendations for the improvement in the light of findings. Important features of the studies Methodology An exhaustive review of the related literature on the topic of the study was carried and the theoretical frame work of the study was planned. The research strategy adopted for the study was Causal Comparative Research also known as ex Post-Facto Research. The population of the study consisted of all the school going age children between 9 to 13 years, who had passed class V and currently studying in class VI in schools of five districts of Karachi, Pakistan, who were both television viewers and non viewers. Stratified random sampling designs were used to draw various samples. The total size of the sample was kept at 260. Two tailored-made research instruments were developed: 1) a questionnaire for students consisting of 20 items and 2) a questionnaire for teachers and parents of 8 items and in addition two data forms for socio-economic status of students were used to obtain information from parents. Necessary measures including a pilot study was administered personally by the investigator to the respondents to ensure the validity and reliability of the research instruments. The data was presented in tables and analyzed using descriptive and inferential statistical techniques. The data yielded by the questionnaires were subjected to 1) test of significance at 0.05 level. 2) chi square test (X 2 ) to analyzed & interpret frequency data and 3) The comparative analysis of students television viewing and their academic achievements was shown through tables, graphs and trend lines in study. Basic Findings 1. The findings of the research study revealed that out of the seven hypotheses significance difference at 0.05 level, five were rejected and the other two were upheld. Thus: i. The academic achievement of students who come from urban areas, who view television were more positive then students of the rural areas. ii. The academic achievement of students who study in the private school, who view television were more favourable then students of the Government schools. iii. The academic achievement of students who study in the large school, who view television were more positive then students of the small school. iv. The academic achievement of the students who study in the English medium, who view television were more favourable then students of the urdu medium school.vi v. The academic achievement of the students who come from upper socio-economic level, who view television were more positive then students of the lower socio-economic level school. No significant difference was found between vi. Television viewers & non viewers vii. Male (boy) & female (girl), But there were notable relationship may lead to greater estimates. 2. The findings of the item wise analysis of questionnaire of students showed wide variability of perceptions among the respondents were more positive and more favourable. 3. The findings of the Comparative analysis between students television viewing and their academic achievement were significant positive. 4. The results of the teachers and parents item wise analysis of the questionnaire revealed that both have a significant positive relationship. This evidence supported that television has enormous potential for teaching positive academic and social skills. Conclusion The major conclusion of the study are: i. The concept of television watching habits is multidimensional and mediating variable. ii. The indicators of the variable are well researched and transparent. And iii. The significance of children’s Television viewing and their academic achievement of school is well proved. The overall findings of the research study lead to the conclusion that i. The impact of leisure-time television on the academic achievements of 5 th class students is positive significantly. and ii. On various extent, nature and type of television viewing, students academic performance range from more positive through moderate positive and mixed opinion respectively. The dissertation concludes by drawing out the theoretical, methodological and policy implication of my analysis. Implications The implications of this research study are to encourage the prosocial educational uses of television as a powerful teaching tool and enhance the understanding of television’s potential positive role in children’s attitude about television viewing and academic achievement in school. This descriptive, analytical, narrative provides new research broadens the ongoing discourse of TV. This suggests an agenda for subsequent research of such phenomena. Recommendations Based on the findings, various recommendations were made for effective capacity building of stakeholders, teachers, parents, students, producers, policy makers and government. Some further studies on television viewing of children are recommended. All statistical data, questionnaire, data forms, tables, descriptive finding and information of television, students annual results, etc are presented in the appendices." xml:lang="en_US