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The Misner-Sharp Mass in General Relativity

Thesis Info

Author

Aqsa Aqeel

Supervisor

Khalid Saifullah

Department

Department of Mathematics, QAU

Program

Mphil

Institute

Quaid-i-Azam University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Page

47

Subject

Mathematics

Language

English

Other

Call No: Diss / M. Phil / MAT / 4631

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676715424259

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ڈاکٹر خلیفہ عبدالحکیم

ڈاکٹر خلیفہ عبدالحکیم
افسوس ہے کہ گزشتہ مہینہ ڈاکٹر خلیفہ عبدالحکیم کاحرکت قلب کے بند ہو جانے سے انتقال ہوگیا۔موصوف اردواورانگریزی دونوں زبانوں کے نامور مصنف، ادیب اورایک بلندپایہ فلسفی تھے۔ عرصہ تک جامعہ عثمانیہ حیدرآباد میں شعبۂ فلسفہ کے صدر رہے۔ اُن کے فکر ونظر کاخاص موضوع فلسفۂ اقبال تھا۔ چنانچہ اس موضوع پرمتعدد وقیع اورمعلومات آفریں مقالات کے علاوہ انھوں نے ’’فکر اقبال‘‘کے نام سے ایک نہایت بلندپایہ اور سلجھی ہوئی کتاب پچھلے چند برسوں میں لکھی تھی جو اقبالیات کے وسیع لٹریچر میں شاہکار کی حیثیت رکھتی تھی۔ اقبال کے علاوہ مولانا جلال الدین رومیؔ کے کلام پر بھی اُن کی نگاہ بڑی گہری اور ٹھوس تھی۔اس سلسلہ میں اُن کی کتاب’’حکمت رومی‘‘ بڑی وقیع اورخاص چیز ہے۔ علاوہ بریں اُن کی انگریزی کتاب’’اسلامک اڈیالوجی‘‘بھی مجموعی اعتبار سے بڑی لایق قدرہے۔گذشتہ چند برسوں سے وہ ادارۂ ثقافت اسلامیہ لاہور کے ڈائرکٹر اورادارہ کے ماہنامہ’’ثقافت‘‘کے ایڈیٹر تھے۔ اُن کی تحریر شگفتہ اورمتوازن و معتدل ہوتی تھی۔مزاج مرنج ومرنجان پایا تھا۔اُن کی وفات علم وادب کے لیے ایک بڑاسانحہ ہے۔ اﷲ تعالیٰ مرحوم کومغفرت وبخشش کی نعمتوں سے سرفرازفرمائے۔ [فروری ۱۹۵۹ء]

 

مکی دور نبوت اور مسلم اقلیت کافقہ السیرۃ کی روشنی میں سماجی مطالعہ

The life of Holy Prophet (peace be upon him) is described as role model in Holy Quran for all the Muslims and known as Uswa.e. Hasna. So, the importance of the life history of the Holy Prophet (peace be upon him) in every period before prophet hood and as a prophet cannot be denied in any walk of life. But the makki period of the Prophet’s life has not enlightened in such a way as it has importance. Many aspects of makki period has been discussed in history and seerah writing but along with this a lot of aspects has been not given due importance in contemporary seerah writing. The basic sources of hadith o seerah provides lots of material on this aspect. In the makki period, Muslims were in minority and they had to face a lot of religious, social, economic and political issues in their lives. Now a days, in modern world majority of Muslims lives in western and non. Muslim societies and have to spend their lives as minority in that socities. In a state of minority, they have to face a lot of religious, social and economical issues in their lives. These problems can be solved in the light of seerah especially from the teachings of makki period, it can provide a lot of religious solutions in contemporary societies in a better way. This article will throw light on teachings of makki period and discuss the solutions of Muslim’s problems as minority in the light of fiqh. Ul. Seerah.

Conformal Symmetries of the Ricci Tensor for Certain Spacetimes

In this thesis, we have investigated conformal symmetries of the Ricci tensor, also known as conformal Ricci collineations (CRCs), for certain physically important spacetimes including kantowski-Sachs spacetimes, static spacetimes with maximal symmetric transverse spaces, non-static spherically symmetric spacetimes and locally rotationally symmetric Bianchi type I and V spacetimes. For each of these spacetimes, the CRC equations are solved in degenerate as well as non-degenerate cases. When the Ricci tensor is degenerate, it is observed that for all the above mentioned spacetimes, the Lie algebra of CRCs is in nite-dimensional. For non-degenerate Ricci tensor, it is shown that the spacetimes under consideration always admit anite-dimensional Lie algebra of CRCs. For Kantowski-Sachs and locally rotationally symmetric Bianchi type V metrics, we obtain 15-dimensional Lie algebras of CRCs, which is the maximum dimension of conformal algebra for a spacetime. In case of static spacetimes with maximal symmetric transverse spaces, the dimension of Lie algebra of CRCs turned out to be 6, 7 or 15. Similarly, it is observed that non-static spherically symmetric spacetimes may possess 5, 6 or 15 CRCs for non-degenerate Ricci tensor. Finally, the dimension of Lie algebra of CRCs for locally rotationally symmetric Bianchi type I spacetimes is shown to be 7- or 15-dimensional. For all the above mentioned spacetimes, the CRCs are found subject to some highly non-linear di erential constraints. In order to show that the classes of CRCs are non-empty, some examples of exact form of the corresponding metric satisfying these constraints are provided.