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Thedynamicalstudyofcompactobjectsin Generalrelativity

Thesis Info

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Author

Mardan Azmi, Syed Ali

Program

PhD

Institute

University of Management and Technology

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12943/1/Syed_Ali_Mardan_Azmi_Maths_HSR_2018_UMT_Lahore_06.08.2018.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727599993

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In this thesis, we discuss the dynamical stability of charged compact objects with the help of some mathematical models. For this purpose, we have selected three different models of charged compact objects to discuss the possible occurrence of cracking under different conditions. In first selected model, we discuss charged anisotropic compact objects with a linear equation of state. In second model, we study anisotropic charged compact object PSR J1614-2230 in quadratic regime, while in third model, we study charged compact stars corresponding to embedded class one metric with perfect inner fluid distribution. We investigate the impact of electromagnetic field on the stability regions of charged self-gravitating compact objects by using the concept of cracking. For this, we have applied local density perturbation scheme to the hydrostatic equilibrium equation as well as on physical parameters involved in the model. In particular, we have examined the cracking of charged compact objects (a) PSR J1614-2230, PSR J1903+327, Vela X-1, SMC X-1 and Cen X-3 with linear equation of state (b) PSR J1614-2230 with quadratic equation of state (c) Her X-1, PSR 1937+21, PSR J1614-2230, PSR J0348+0432 and RX J1856-37 corresponding to embedded class one metric. We conclude that these objects exhibit cracking and stability regions decreases with the increase of charge. We also extend two conventional polytropic equations of state to generalized polytropic equations of state for spherical and cylindrical symmetries in the context of general relativity. For this purpose, we formulate the general framework to discuss the physical properties of spherical and cylindrical polytropes with charged anisotropic inner fluid distribution under conformally flat condition. We investigate the stability of generalized polytropic models through Tolman-mass and Whittaker formula for spherical and cylindrical symmetries respectively. We also discuss the possible occurrence of cracking in charged anisotropic polytropes developed under the assumption of generalized polytropic equation of state in two different ways (i) by carrying out local density perturbation under conformally flat condition (ii) by parametric perturbations. We conclud that one of the generalized polytropic equations of state results into a physically viable model and cracking appears for a specific range of density and model parameters.
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آپؐ کے نقشِ پا سے مزین زمیں ، خاتم المرسلیں

آپؐ کے نقشِ پا سے مزین زمیں، خاتم لمرسلیںؐ!
اَرضِ بطحا نے پائے ہیں کیسے نگیں، خاتم لمرسلیںؐ!

آپؐ کی بات کا صدق دل سے یقیں ،اے رسولِ امیں!ؐ
آپؐ کو غیر کہتے ہیں صادق امیں ،خاتم لمرسلیںؐ!

آپؐ کو جو رکھیںجان و دل کے قریں ،رحمتِ عالمیں!ؐ
صاف کہتا ہے قرآں انہیں مومنیں ، خاتم لمرسلیںؐ!

آپؐ کا جو ہوا ، سب اُسی کا ہوا ، اے حبیب خداؐ!
آپؐ کا جو نہیں ، وہ کہیں کا نہیں ، خاتم لمرسلیںؐ!

خوش طبع ، خوش ادا ، سیرت خوش صفا ، صورتِ والضحیٰ
خوش خط و خوبرو ، دلکش و دلنشیں ، خاتم لمرسلیںؐ

آپؐ کے بعد آئے نبیؐ دُوسرا ؛ میں نہیں مانتا
سیّد الاوّلیں ، سیّد الآخریں ، خاتم لمرسلیںؐ!

تُو لکھے حرفِ مدحت، پڑھے نعت کیا ، تیری اوقات کیا
دی گئے تجھ کو عرفانؔ! لحنِ حسیں ، خاتم لمرسلیںؐ

اصلاح معاشرہ اور نسل نو کی ذمہ داری سیرت طیبہ کی روشنی میں

Despite the greenness of youth, it is a moment in a Muslim's life when his belief is likely to be hardened frequently by enticements and temptations. It is the responsibility of young Muslims to triumph over these enticements and protect their Islamic way of life, obey the teachings of Prophet, share Islam with others and study the teachings of the Holy Qur’ān. After the fulfillment of these essential obligations, young Muslims are predictable above all to play a significant role in reformation of society. Within the Muslim circle, it is supposed that youth is the most imperative period of life. Youth as bone of nation plays a vital role. They have the capacity to build nation of towards success in all the fields of life by utilizing the abilities. This is the time in which opinions, habits and beliefs are formed, and it is vital for the time to be spent in individual development. For instance, Muslim youth should dedicate themselves into making and spreading the glimpses of Sīrah in society; by avoiding the temptations of time in loneliners and solitude andwith the opposite sex and of seeking knowledge by following the preaching’s of Prophet Muhammad (r). In this way, Muslim youth will be a spiritually strong enough to serve as a role model for other young people and society as whole. The article manifests the same components in the light of teachings of Holy prophet (r). Consolidating with Qur'anic verses, imminent exegetical literature and sayings of the companions of Prophet Muhammad (r), youth can play an active and positive role in reformation and development of society.

The Causes and Effects of Attrition from Post-Graduate Residency Programs at the Aga Khan University Hospital, Nairobi.

Background: Resident attrition is a global problem affecting most postgraduate residency training programs. It not only disrupts the educational and workload balance in the program but also results in loss of valuable time invested by the resident who has to leave before completion. AKUHN has similarly been affected with a worrying increase in resident attrition numbers over the last few years. There is however a lack of local studies on resident attrition which would inform measures to address modifiable risk factors for resident attrition and thus prevent future attrition. Objectives: To explore factors attributable to attrition amongst residents in Aga Khan University Hospital since inception and explore the effects it has had on the various programs over the years. We also seek to establish the reasons behind the recent upsurge in attrition numbers and the current fate of the residents who left. Methods: In-depth interviews, both face to face and telephone were carried out with the residents who left before completion of training and all current program directors. Different interview guides were used for each group. Data was collected using tape recording and later transcribed. Note-taking was also utilized during the interviews. Data collected was analyzed using the thematic framework fronted by Ritchie and Spencer for qualitative research. Results: Sixteen ex-residents and all eight current program directors were interviewed. The reasons mentioned for attrition in decreasing frequency included excessive workload, health problems, specialty/career change, financial strain, academic nonperformance, fellow resident harassment and foreign student challenges. Increased workload over the years and introduction of tuition fees were implicated as possible causes for the increased attrition rate. Others included generational differences, waning faculty support and recent institutional and administrative changes. The main effect of resident attrition was an increased workload to the remaining residents and finally most ex-residents seemed to have gone on to do well in new vocations including joining other residency programs and completing the training. Conclusion: Residents fail to complete training due to a varied number of reasons. The most commonly cited reason is excessive workload interfering with academic engagements. Establishing a balance between the workload assigned to residents and their academic engagements is paramount to ensure residents do not suffer burnout which would ensure more resident retention.