This thesis is devoted to analyze the existence as well as the dynamics of some celestial objects in various well-known modified gravity theories. In this framework, we explore the evolution of spherical self-gravitating structures in the realm of f(R), f(R, T) and f(G, T) theories, where R, T and G are the Ricci scalar, trace of stress energy tensor and the Gauss-Bonnet term, respectively. It has been a fascinating challenge to find the realistic configurations of stellar models in different modified theories gravity. In order to achieve this goal, we have considered the observational values of three notable strange compact stars, namely Her X-1, SAX J1808.4-3658, and 4U 1820- 30. The solutions obtained by Krori and Barua are used to examine the nature of particular compact stars with three different modified gravity models. The behavior of material variables is analyzed through plots. We also discuss the behavior of different forces, equation of state parameter, measure of anisotropy and Tolmann- Oppenheimer-Volkoff equation in the modeling of stellar structures. The comparison from our graphical representations may provide evidences for the realistic and viable f(R), f(R, T) and f(G, T) gravity models at both theoretical and astrophysical scale. We also investigate the wormhole solutions with spherically symmetric geometry in f(R, T) gravity. We discuss three different cases for matter contents namely, anisotropic, barotropic and isotropic fluid configurations. We consider few notable mathematical formulations of f(R, T) model to analyze the behavior of energy conditions and to explore the general conditions for wormholes in the framework of modified theories. It is observed that the usual matter in the throat may satisfy the energy conditions but the gravitational field emerging from higher order terms of modified xvi xvii gravity favor the existence of the non-standard geometries of wormholes. We represent this investigation via plots and examined the equilibrium picture in the background of anisotropic fluid. The stability and existence of these wormholes is also analyzed in this theory. Finally, the role of modified versions of structure scalars are analyzed in the modeling of relativistic spheres in f(R, T) gravity. We assume that non-static diagonally symmetric geometry is coupled with dissipative anisotropic viscous fluid distributions in the presence of f(R, T) dark source terms. A specific distributions of f(R, T) cosmic model has been assumed and the spherical mass function through generic formula introduced by Misner-Sharp has been formulated. Some very important relations regarding Weyl scalar, matter variables and mass functions are being computed. After decomposing orthogonally the Riemann tensor, some scalar variables in the presence of f(R, T) extra degrees of freedom are calculated. The effects of the modified structure scalars in the modeling of stars through Weyl, shear and expansion scalar differential equations are investigated. The energy density irregularity factor has been calculated for anisotropic radiating spherical stars with varying Ricci scalar corrections.
پروفیسر عبدالحق کی پرورش جس پر نور اور سادہ ماحول میں ہوئی اس سے یہ اندازہ لگانامشکل ہے کہ ان کی تعلیم کی ابتدا کب ہوئی ۔ لیکن اتنے اشارے ضرور ملتے ہیں کہ چار سال کی عمر میں انہیں گاؤں کے مکتب میں داخل کیا گیا ۔ اس مکتب میں گاؤں کے ایک مولوی مظفر حسین پڑھایا کرتے تھے۔ انہی مولوی صاحب نے پروفیسر عبد الحق کی تاریخ پیدائش سکول رجسٹر میں لکھی اور ان کی قیاسی تاریخ ولادت ۲ مارچ ۱۹۳۹ قرار پائی گاؤں کے اس سکول کے علاوہ پروفیسر عبد الحق قرآن شریف پڑھنے کے لیے بھی جایا کرتے تھے۔ گاؤں کی ایک محترم خاتون جو قصبہ مچھلی شہر سے بیاہ کر لائی گئی تھیں۔ جب بیوہ ہو گئیں تو انہوں نے پہاڑ پور کے بچوں کو قرآن پڑھانا شروع کر دیا۔ وہ بھی پہاڑ پور گاؤں کی پہلی پڑھی لکھی خاتون تھیں جن کے فیض سے تقریباً پندرہ سال تک بچوں نے قرآن شریف پڑھنا سیکھا۔ قسمت کی یاوری دیکھیے کہ پروفیسر عبد الحق نے ایسا زمانہ اور ایسا عرصہ حیات پایا جس میں ان کے گاؤں کے ممتاز اور نابغہ روزگار لوگوں سے ان کا سابقہ پڑا اور انہیں ایسی کروٹ بدلتی ہوئی زندگی میں سانس لینے کا موقع ملا جس سے ان کے اندر بھی کچھ کر گزرنے کی آرزوؤں اور ترقی کی راہ پر گامزن ہو نیوالی ابھرتی ہوئی دنیا کے خوابوں کو دیکھنے کا حوصلہ پیدا ہوا۔ بہر کیف سرکاری نہج کے سکول اور اسلامی مدرسہ کی تعلیم دونوں ساتھ ساتھ گامزن رہے۔ گاؤں کے اس سرکاری سکول میں جسے لوگ مکتب کہتے تھے درجہ تین تک تعلیم دی جاتی تھی۔ اس تعلیم سے فارغ ہونے کے بعد پروفیسر عبدالحق نے مچھلی شہر کے سرکاری اسلامیہ سکول میں درجہ چہارم میں داخلہ لیا۔ اس کے لیے انہیں روزانہ پانچ...
The present day global community is confronted with several challenges, absence of peace being the biggest one. The UNO and other regional organizations strive hard to achieve this goal. Unfortunately the world is far from achieving the goal of ensuring peace. It is also a fact that in most cases the Muslim world is in turmoil and it is involved or has been involved in one way or another. In order to find out the real causes of unrest, it is imperative to analyze the situation from academic, political, economic and social aspects. This article deals with first aspect i.e. The academic. It has three parts, in the first part importance of peace has been elaborated in the light of the Quran and the Sunnah. In the second part, importance of peace treaties of the Prophet (PBUH), and one of His successors Umar, the second Caliph, has been brought in to focus. The issue that the foreign policy of Islamic State is based on perpetual peace has been discussed in this part. While in the third part those obstacles have been discussed which have caused to damage the peace process in the world.
The present study represents a maiden attempt to develop and evaluate a combined hemorrhagic septicemia (HS) and mastitis vaccine in cows and buffaloes. The study was compartmentalized into two phases. In phase I (laboratory settings), isolates of Pasteurella multocida, Staphylococcus aureus and Streptococcus agalactiae recovered from field cases of HS and mastitis were scrutinized for virulence/pathogenicity and immunogenicity in laboratory animals. Bacterin- toxoids of S. aureus and Str. agalactiae were blended with prepared antigen of P. multocida, Montanide® ISA 201 VG, thimerosal and sodium azide to prepare combined HS- mastitis vaccine that was evaluated for sterility, safety and side effects underin vitro conditions/in cattle, buffaloes and mice. A challenge-protection assay conducted in immunized mice indicated 100% survival of challenged mice. The vaccine was physically stable in terms of pH, sedimentation, color, appearance, and syringibility for 6 months observation period at 37°C. In Phase II (field evaluation), the combined vaccine was evaluated in cows, buffaloes and calves. To this end, a total of 70 S. aureus and Str. agalactiae free lactating buffaloes (n=45) and cows (n=25), 50 lactating cows (n=25) and buffaloes (n=25) positive for S. aureus/Str. agalactiae and dairy calves (buffalo calves n=70; cow calves n=50) aged up to 1 year were treated with 2 doses of combined HS-mastitis vaccine at 21 day interval and evaluated (where relevant) for 6 months in terms of ELISA based antibody titers against P. multocida, S. aureus and Str. agalactiae, incidence of HS, local and systemic reactions, incidence and prevalence of S. aureus and Str. agalactiae mastitis, severity of mastitis, milk somatic cell count, milk yield, cost effectiveness and vaccine efficacy. ELISA based antibody titers against P. multocida, S. aureus and Str. agalactiae were higher in vaccinated groups than in un-vaccinated groups. Two cases of HS were recorded in vaccinated animals vis-à-vis 7 cases in un-vaccinated animals. Incidence of S. aureus and Str. agalactiae over 180 days in vaccinated and un-vaccinated cows and buffaloes initially cultural –ve for these pathogens was 3 and 10, respectively; the corresponding figures in groups initially culture +ve for these pathogens being 2 and 12, respectively. Cumulative mean somatic cell counts in vaccinated groups were significantly lower (P>0.05) than those in respective unvaccinated controls. Milk yield was significantly higher (P<0.05) in vaccinated cows and buffaloes than in un-vaccinated controls. Mastitis severity scores were lower in vaccinated groups than in un-vaccinated controls. The vaccine tested had a vaccine efficacy 84.78 and 90.25% against HS and mastitis, respectively with a financial benefit worth Rs 2,060,300. In sum, Montanide® adjuvanted combined HS-mastitis vaccine had preventative role against HS and both preventative and curative role against S. aureus and Str. agalactiae associated mastitis. In view of the preliminary nature of the study, additional work involving much larger number of cows, buffaloes and calves is clearly warranted.