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Some Important Aspects of General Relativity in Chern-Simon Modified Gravity

Thesis Info

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Author

Sarfraz Ali

Program

PhD

Institute

University of Sargodha

City

Sargodha

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12491/1/Sarfraz%20Ali_Maths_2018_UoSargodha_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727201177

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In this thesis, we investigate some important aspects of general relativity in the framework of Chern-Simons modified gravity. We focus on some dark energy models, gravitational collapse, cosmological analysis of FRW metric and consistency of the solutions. Firstly, we discuss four different dark energy models, for example, Ricci dark energy model, holographic dark energy model with Granda-Oliveros cut-off, modified holographic Ricci dark energy model and another model having higher order derivative term of the Hubble parameter by finding their scale factors and density parameters. Further, holographic dark energy model and modified holographic Ricci dark energy model are explored and the correspondence between quintessence, K-essence, tachyon and dilaton models. Secondly, we discuss gravitational collapse in the context of CS gravity by finding apparent and cosmological horizons, naked singularities, black holes and the effect of Newtonian force on the gravitational collapse. Next, we discuss the cosmological analysis of FRW universe by taking different combinations of matter, radiation and cosmological term with CS term in the dynamical background of Chern-Simons modified gravity. For all these combinations, we explore density, deceleration parameter, equation of state and stability analysis with the graphical interpretation. At the end, we find the consistency of well-known static G¨odel type solution in the context of non-dynamical Chern-Simons modified gravity and non-static spherically symmetric solutions in the presence of cosmological constant in the framework dynamical Chern-Simons modified gravity.
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مولانامعین الدین اجمیری

مولانا معین الدین اجمیرؔی
۱۰؍ محرم الحرام ۱؂ ۱۳۵۹؁ھ عین عاشورہ کے دن علم و عمل فضل و کمال، مجاہدہ و استقامت وطہارت کی ایک ایسی مسند خالی ہوئی جو غالباً عرصۂ دراز تک خالی رہے گی، اِنَّا لِلّٰہِ وَاِنَّا اِلَیْہِ رَاجِعُوْنَ۔
اس سے ہماری مراد حضرت مولانا معین الدین اجمیری رحمۃ اﷲ علیہ کا سانحۂ ارتحال ہے، یہ حادثہ محض مولانا کے اہل خاندان یا مسلمانانِ اجمیر ہی کے لئے نہیں ہے، بلکہ سارا اسلامی ہند اس سے متاثر اور اپنی کم نصیبی پر نوحہ کناں ہے۔
وَمَا کَانَ قَیْس’‘ ھَلَکَ ھُلَکَ وَاحِدٍ
وَلٰکِنَّہٗ بُنْیَان قُوْمٍ تھَدّما
مولانا ایک نومسلم گھرانے میں پیدا ہوئے تھے، والد ماجد مولانا عبدالرحمن صاحب مرحوم بلیاؔ کے رہنے والے نومسلم راجپوت تھے اور والدہ بھی داخل اسلام ہوئی تھیں اور دانا پور (بہار) ان کا گھر تھا تعلق راجپوتانہ سے اس طرح پیدا ہوا کہ مولانا عبدالرحمن صاحب ریاست ٹونک میں سیکریٹری کونسل تھے، چار یا پانچ سو روپیہ ماہوار تنخواہ تھی، اسی علاقہ میں دیولی (راجپوتانہ) میں ۲۵؍ صفر ۱۲۹۹؁ء کو پیدا ہوئے اور باپ کے زیر سایہ زندگی کی ابتدائی منزلیں طے ہوئیں، بچپن ہی سے سعادت و فیروز مندی کے آثار نمایاں تھے، چنانچہ دولت و ثروت کی گود میں پلنے والے اس نوجوان نے ہمیشہ طالبعلموں میں مساوات ہی کی زندگی بسر کی، امیرانہ ٹھاٹھ اور رئیسانہ شان کا کبھی مظاہرہ نہ کیا۔
قسمت کی خوبی اور نصیب کی بلندی نے خاتم المحققین حضرت مولانا سید برکاتؔ احمد صاحب (بہاری، ثم) ٹونکی سے تلمذ کا رشتہ قائم کرایا، اس تعلق سے مولانا کا سلسلۂ تلمذ یہ ہے۔
حضرت مولانا معین الدین صاحب اجمیری رحمۃ اﷲ علیہ
حضرت مولانا سیّد برکات احمد صاحب ٹونکی رحمۃ اﷲ علیہ
حضرت مولانا عبدالحق صاحب خیرآبادی رحمۃ اﷲ علیہ
حضرت مولانا فضل حق صاحب خیرآبادی رحمۃ اﷲ علیہ
حضرت مولانا...

الخطاب الوسطي في الإسلام: قراءة في تحليل مقاصده و أسبابه ما بين الماضي والحاضر

The wasaṭiyyah (Islamic moderation) concept is deep-rooted in Islam. It is a straight path, a good between two evils; it maintains balance between the two extremes of excess and deficiency, and between fanaticism and negligence. Moderation was widely practiced with the advent of Islam. It was a noteworthy aspect of people’s day to day life and conducts. The term wasaṭiyyah (moderation) emerged in the early eighties. It was initially introduced by Shiekh Yūsuf Al-Qaraḍāwī. He used it in his books and discourses, and gradually it become very prevalent. Few factors resulted in widespread use of the term, the main factor is the western systematic campaign against Islam and Muslims to distort their image and label them with terrorism and extremism. Therefore, they frequently used the term wasaṭiyyah to prove themselves against these accusations. Another factor is the current situation in most Muslim countries and their struggle with social and political injustice which turns Muslim youth to extremism and terrorism that is why Muslim scholars and reformers, through their moderate discourse, stood up and condemned fanaticism and radical ideology. All that made the term wasaṭiyyah widely used by different people from all walks of life, and each has its aims and intentions behind embracing the moderate discourse and raising the flag of wasaṭiyyah (moderation).

Enhancement of Drought Tolerance in Sunflower Helianthus Annuus L. by Exogenous Application of Abscisic Acid

Studies to assess the response of spring planted sunflower (Helianthus annuus L.) to exogenous application of abscisic acid following different irrigation schedules were carried out at the Agronomic Research Farm, University of Agriculture, Faisalabad, Pakistan were conducted for two consecutive years; 2008 and 2009. In one experiment, three irrigation schedules viz. four irrigations (25 DAS, bud initiation, flower initiation and achene formation), three irrigations (25 DAS, flower initiation and achene formation) and three irrigations (25 DAS, bud initiation, and achene formation) were subjected to exogenous application of different concentrations (0, 5μm and 10μm) of ABA at bud initiation or at flower initiation. In the 2 nd experiment different irrigation and ABA application schedules i.e. four irrigations (25 DAS, at bud initiation, at flower initiation and at achene formation) and no ABA, three irrigations (25 DAS, at flower initiation and at achene formation) and no ABA, three irrigations (25 DAS, at flower initiation and at achene formation) and ABA spray at bud initiation, three irrigations (25 DAS, at bud initiation and at achene formation) and no ABA, three irrigations(25 DAS, at bud initiation and at achene formation) and ABA spray at flower initiation were tested for three hybrids (DK-4040, S-278 and SF-187). The experiments were laid out in randomized complete block design with factorial arrangement and with three replications in each experiment. In the 1 st experiment exogenous application of 5μM ABA under drought at bud initiation stage significantly increased plant height, head diameter, number of achenes per head, 1000-achene weight, achene yield and oil yield over no ABA. It also improved water relations of sunflower by improving water potential and turgor pressure and decreased amount of compatible solutes which indicates that exogenous application of ABA was helpful in enhancing drought tolerance in sunflower. Foliar application of 5μM ABA at flower initiation under drought stress at this stage also increased plant height, head diameter, number of achenes per head, 1000-achene weight, achene yield and oil yield over no ABA but this increase was lesser than exogenous application of 5μM ABA at bud initiation after imposition of drought stress at this stage. In the 2 nd experiment exogenous application of ABA under drought at either stage (bud or flower initiation) was helpful in ameliorating drought stress in sunflower hybrids; however response was better when ABA was applied at bud initiation than at flower initiation. Sunflower hybrid DK-4040 showed better enhancement of drought tolerance by exogenous application of ABA than SF-187 and S-278 because it showed more improvement in agronomic parameters, growth, quality, water relations and compatible solutes.