ریاست کے اداراتی مقاصد کے تناظر میں نظریہ انفرادیت اور اجتماعیت پسندی

Individualism and Collectivism are two main theories discussed in contemporary Islam implies to create such social environment where both Individual and community could get strength from each other. Islam demands self surrender to Almighty Allah Ta'ala and orders to lead peaceful life, doing all good and avoiding bad deeds. So virtues get stronger and corruption is rooted out in all forms from the Community's social life. Any concept like class struggle or materialistic interpretation of history does not exist in Islam. Rather it provides such guidelines in the economic sphere which promote a healthy circulation of wealth. Islam introduced the concept of ‘Halal & Haram’and appreciated to observe ethical values in economic activities. Islam made man realize being answerable for all earnings and expenditures whether done rightly in accordance with the Orders of Allah Ta’ala or in wrong way defying Allah’s Orders. This outlook not only creates incentives for the individual but also safeguards the Community at the same time.

Study of Physical Characteristics of Stellar Configurations

The aim of this thesis is to study some astrophysical problems in the context of general relativity. Firstly, we investigate the stability of charged anisotropic spheri- cal as well as cylindrical °uid con¯gurations by observing the appearance of crack- ing/overturning within the matter distribution. In case of spherical system, two cases of polytropic relation between density and pressure are taken into account. We employ the perturbations on material variables via polytropic constant as well as polytropic index and construct the corresponding perturbed form of the force distribution func- tion. It is found that the compact object is stable for feasible choice of perturbed polytropic index in the presence of charge. For cylindrically symmetric object, the cracking is explored by applying density perturbations for two models satisfying spe- ci¯c form of Chaplygin equation of state. We conclude that these models experience cracking for larger values of charge. Secondly, we explore exact anisotropic solutions for charged spherical as well as uncharged cylindrical matter distribution through gravitational decoupling approach. In order to ¯nd the solutions, we consider known solution for isotropic °uid and extend it to two types of anisotropic solutions by imposing density as well as pressure constraints. The behavior of physical parameters, energy conditions and stability of the resulting models is also investigated. It is found that only ¯rst solution is physically acceptable as it meets all the energy bounds as well as stability criterion. Finally, we analyze the anisotropic spherical and cylindrical polytropic solutions. For comoving cylindrical system, we formulate the ¯eld equations for three particular forms of gravitational potential and explore exact solutions for di®erent values of the polytropic index. The values of arbitrary constants are determined by taking mass and radius of a well-known compact star (Her X-1). We ¯nd that two of the models are physically reasonable. The spherically symmetric models are constructed for an xii xiii observer moving relative to matter content using two cases of polytropic equation of state under conformally °at condition which aids to ¯nd a speci¯c form of anisotropy parameter. We obtain models numerically and ¯nd that only ¯rst model satis¯es all the energy conditions as well as stability criterion.