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Influence of Parity-Time Symmetry in Microresonators on Light Pulse Propagation

Thesis Info

Author

Hafiza Rabia Jamil

Supervisor

Ziauddin

Department

Department of Physics

Program

RPH

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Subject

Physics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720860040

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حافظ ہدایت حسین

حافظ ہدایت حسین ؍ علامہ راشد الخیری ؍ مولانا شیر علی
میری علالت کے زمانہ میں ملک و ملت کی کئی نامور ہستیوں نے اس دنیائے فانی کو الوداع کہا حافظ ہدایت حسین صاحب مرحوم اس صوبہ کے مسلمانوں کی بڑی دولت تھے، اس دولت کا چھن جانا ہماری سب سے بڑی محرومی ہے، دلی کے پایہ تخت کی بھی ایک یادگار مٹ گئی، یہ مولانا راشد الخیری کی ذات تھی، جس نے اپنی ساری عمر مسلمان عورتوں کی علمی و ادبی و تعلیمی خدمت گزاری میں بسر کردی، دکن کے خزانہ کا بھی ایک قیمتی ہیرا گم ہوگیا، یعنی مولانا شیر علی صاحب سابق مدرس اعلیٰ دارالعلوم ندوہ و سابق استاد کلام جامعہ عثمانیہ نے وفات پائی، مرنے والے مرگئے، مگر ان کے کارنامے دنیا میں یادگار رہ گئے۔
از صدائے سخن عشق ندیدم خوشت

یادگارے کہ دریں گنبد دوار بماند
)(سید سلیمان ندوی، اپریل ۱۹۳۶ء)

Comparative Analysis and Best Practices in Islamic Education in Modern Islamic World: Lessons and Insights for Reforms in Pakistani Madrasah System

It is important to know that how the whole system of Madrasah education was evolved and what were various trends which contributed in shaping the whole system of religious Education in the Muslim world, particularly. I this article I will be presenting a comparative analysis of some important Religious Education systems prevalent in prominent Muslim Countries to demonstrate that how same institutions can develop on different lines due to application of certain approaches by state. Here I will be making a comparison of five Muslim countries namely Egypt, Saudi Arabia, Turkey, Indonesia and Bangladesh. Under this comparison I would try to illustrate briefly that how different contexts actually shape and direct the overall approach, methodology and pedagogical methods of these institutions. And I will try Here I will make comparison of four major religious education institutions working in four different Muslim countries namely

Gravitational Collapse in F R, T Modified Theory of Gravity

In this thesis, we investigate gravitational collapse in f(R, T) modified theory of gravity. We focus on the study of gravitational collapse of spherically symmetric and FriedmannRobertsonWalker(FRW) metrics for both dust and perfect fluid cases. We also explore the gravitational collapse of 5D spherically symmetric spacetime in f(R, T) gravity and extend this work to N-dimensional spherically symmetric spacetimes. Furthermore, we explore the effect of electromagnetic fields on the gravitational collapse in f(R, T) modified theory of gravity. Firstly, we discuss the gravitational collapse of spherically symmetric spacetime for both dust and perfect fluid cases in f(R, T) gravity. For this purpose, we consider the spherically symmetric spacetime as the interior region and Schwarzschild metric as the exterior region. The junction conditions between the exterior and interior regions are found by matching the exterior and interior regions. The field equations are solved by taking the assumptions that the Ricci scalar as well as the trace of energy-momentum tensor are constant, for a particular f(R, T) = R + 2f(T) model. We calculate the gravitational mass of the collapsing system. Also, we discuss the apparent horizons and their time formation for different possible cases. It is shown that the term f(R0, T0) behaves as a source of repulsive force and consequently it slows the collapse of matter. We then discuss gravitational collapse in the context of f(R, T) gravity by taking FRW metric in the interior and schwarzschild background in the exterior regions of the star. We solve the field equations by taking the assumption of constant curvature and constant trace of energy-momentum tensor. We found that the terms 2λρ0−f(R0, T0) and f(R0, T0)+2λ(p0−ρ0) behave as cosmological constant for both dust and perfect fluid cases. Next, we discuss spherically symmetric perfect fluid collapse in the frame work of f(R, T ) modified theories of gravity using a five dimensional background. For this reason we consider the five dimensional spherically symmetric metric as the interior region and a five dimensional Schwarzschild metric as an exterior region. The junction conditions between the exterior and interior regions are discussed. By taking above mentioned model, the corresponding field equations are evaluated for both marginally bound L(r) = 1 and non-marginally bound L(r) 6= 1 cases. We find the apparent horizons and their time formation for different possible cases. It has been concluded that the term involving λ plays double role: it speeds up the collapse in region where ρ0 < 4p0; and it slows down the collapsing of matter when ρ0 > 4p0. Furthermore, we extend this work to the N-dimensional case and find that the collapse process becomes faster in the region ρ0 < (n + 1)p0 and slower in the region ρ0 > (n + 1)p0. Furthermore, it is noted that our results reduce to previously published results [80] found in GR for λ = 0. Finally, we analyze the effect of electromagnetic field on the gravitational collapse in f(R, T ) modified theories of gravity by taking spherically symmetric metric in the interior region and Reissner-Nordstrom ¨ metric in the exterior region. We discuss the issue of apparent horizons. We conclude that the end state of a star, in the presence of electromagnetic fields in the f(R, T ) gravity framework, is a black hole. It is shown that the collapse is slower in the region ρc < 3pc and faster in the region ρc > 3pc. Moreover, for λ = 0, our results correspond to those of GR found previously[120].