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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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مولانا حسرت موہانی

مولانا حسرتؔ موہانی
افسوس کہ آخر مولانا حسرت موہانی بھی چل بسے۔مولانا کی شخصیت کا پیکر دو چیزوں سے بنا تھاایک شعر وسخن اوردوسری سیاست۔سیاست اس پیکر کے ساتھ جسم کی نسبت رکھتی تھی، اس بناپر جب جسم مٹی میں ملاتوسیاست بھی فناہوگئی لیکن شعر و سخن اس پیکر کی روح تھی جو مرنے کے بعد باقی رہتی ہے اس لیے حسرت کی شاعری اب بھی زندہ ہے اورزندہ رہے گی۔
مرحوم سیاست میں کبھی ایک روش میں قایم نہیں رہے وہ کبھی کسی پارٹی میں شریک ہوئے کبھی کسی میں،ان کی سیاست کاآغاز کانگریس میں شرکت سے ہوا اور اس کاخاتمہ لیگ کے پُرجوش کارکن ہونے پر ہوگیا۔ان دونوں کی درمیانی مدت میں سیاسی اعتبار سے وہ کبھی کسی روپ میں نظر آئے اورکبھی کسی جامہ میں وہ دیکھے گئے لیکن ہرجگہ اورہرمقام پربیباک خلوص ان کا امتیازی وصف رہا۔ یہی وجہ ہے کہ جن لوگوں سے وہ سیاسی اختلاف رائے رکھتے تھے وہ بھی ان کی قدر کرتے اور ان کا احترام ملحوظ رکھتے تھے، وہ خواہ کسی رنگ اورکسی بھیس میں ہوتے ان کا اندازِ قدالگ سے الگ پہچان لیا جاتاتھا۔ ملک کی جدوجہد آزادی میں ان کا اتنا بڑا حصہ ہے کہ اس جدوجہد کی کوئی تاریخ مرحوم کے شاندار تذکرہ کے بغیر کامل نہیں ہوسکتی۔ ایک زمانہ تھا کہ حسرت کانام بچہ بچہ کی زبان پر تھا اورلوگ ان کے ایثار و قربانی،محنت وجفاکشی،برطانوی حکومت سے نفرت اور اس سلسلہ میں ان کی سخت ضداورہٹ کی داستانیں مزے لے لے کر اورجوش ومسرت کے ساتھ بیان کرتے تھے، لیکن مرحوم کے یہ وہ اوصاف وکمالات ہیں جن کو لوگوں نے خود ان کی زندگی میں ہی بھلا دیاتھا اوروہ آخر میں’’یوسف بے کارواں‘‘ہوکررہ گئے تھے۔
حسرت کی شاعری جوانمٹ اورزوال ناآشنا ہے اس کا اصل جوہر حسن تغزل ہے۔ انھوں نے اپنے...

غیر مسلم اقوام کی مشابہت: اصولی ابحاث اور فقہاء کے استنباطات کا عصری انطباق

Islam, as a religion, has a clear distinguished. It gives evident rules, religious obligations, terms and conditions to his followers. Every Muslim should follow these commands. The logic behind the traditions of holy prophet (pbuh) which are in prohibition of resemblance with polytheist and unbelievers is, these are compulsory for a religious person to remain in touch his own culture and civilization. Through the traditions of the holy prophet, we concluded that he (pbuh) strictly disliked any Muslim to adopt and copy of non-Muslim’s deeds which leaving Islamic culture civilization, because all the non-Muslims have their own religious obligations. However, Islam condemn all religious obligations, festivals and conditions that are against Islam. If, a Muslim is doing such deeds against the teaching of Islam, what would be the result of this behavior and attitude according to Islam? In this article, same rules and conditions are discussed to discriminate the differences and its impact between the cultures of Islam and other religions. What would be the result of this behavior and attitude according to Islam? And author presented many principles is this regard so a Muslim may be able to distinguish his religious and as well as his cultural values in Islamic society.

Genetic Basis of Heat Tolerance and Some Yield Components in Zea Mayas L.

The seeds of one hundred maize inbred lines collected from various research organizations were planted in two sets, one under normal and the other under high temperature conditions in a plastic tunnel for the purpose of screening against heat at reproductive stage. Based on the actual and relative values for leaf temperature, cell membrane thermo-stability, stomatal conductance, transpiration rate, leaf firing, kernels per ear, 100-grain weight and grain yield per plant, one heat tolerant (ZL-11271) and one heat susceptible (R-2304-2) parents were selected and crossed to develop six basic generations comprised parents (P1, P2), hybrid (F1) and segregating generations (BC1, BC2, F2) in subsequent cropping seasons. All these generations were then evaluated under both normal (field) and heat-stressed (plastic tunnel) conditions using factorial randomized complete block design with three replications. The recorded data under both the conditions on various morphological and physiological plant traits were analyzed in nested block design for one way, two way and partitioned analysis of variances which revealed statistically significant differences (P≤0.01-0.05) for all the characters except anthesis-silking interval. Generation mean analysis of plant traits recorded under normal conditions revealed both additive and dominance genetic effects alongwith epistatic interactions for leaf temperature, cell membrane thermo-stability, stomatal conductance, leaf firing, plant height, ear leaf area, days to maturity, ear length, kernels per ear, 100-grain weight and grain yield per plant. For all these traits except stomatal conductance, dominance effects were more pronounced than additive estimates. Only additive genetic effects alongwith epistatic interactions were revealed for transpiration rate, days to tasseling and days to silking under normal conditions. Days to silking and days to maturity had dominance genetic effects with no epistatic interaction while traits like leaf temperature, cell membrane thermo-stability, stomatal conductance, transpiration rate, leaf firing, plant height, days to tasseling, ear leaf area, ear length, kernels per ear, 100-grain weight and grain yield per plant revealed both additive and dominance genetic effects alongwith epistatic interactions under heat-stressed conditions. Additive genetic effects were greater in magnitude for leaf temperature, cell membrane thermo-stability and stomatal conductance while estimates of dominance genetic effects were higher in case of transpiration rate, leaf firing, plant height, ear leaf area, ear length, kernels per ear, 100-grain weight and grain yield per plant under heat-stressed regime. Estimates of broad sense heritability were higher than that of narrow sense heritability while estimates of narrow sense heritability for infinity generation were greater than its F2 generation for all the traits. Considering the estimates of heritability and genetic advance at once suggested that only simple selections might be enough for further improvement of traits such as cell membrane thermo-stability, stomatal conductance, transpiration rate, leaf firing, ear length, kernels per ear and grain yield per plant under both the condition. Grain yield per plant had positive and significant association with stomatal conductance, transpiration rate, ear length and kernels per ear while negative but significant with leaf temperature, cell membrane thermo-stability, leaf firing and 100-grain weight at both genotypic and phenotypic levels under both normal and heat-stressed conditions. Ear leaf area exhibited positive and negative association only at genotypic level with grain yield under normal and heat-stressed conditions, respectively. It can be concluded that traits like cell membrane thermo-stability, ear leaf area and kernels per ear may be given priority in breeding strategies for achieving improvement in maize grain yield under high temperature circumstances.