A5016560450- Advanced Differential Geometry Research
- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Geometric Analysis and Curvature Flows
- Relativity and Gravitational Theory
- Noncommutative and Quantum Gravity Theories
- Nonlinear Waves and Solitons
- Numerical methods for differential equations
- Algebraic and Geometric Analysis
- Nonlinear Photonic Systems
- Mathematics and Applications
- Advanced Mathematical Theories and Applications
- Geometry and complex manifolds
- Topological and Geometric Data Analysis
- Optics and Image Analysis
- Safe Handling of Antineoplastic Drugs
- Hydraulic Fracturing and Reservoir Analysis
- Historical Geography and Cartography
- Heavy Metals in Plants
- Essential Oils and Antimicrobial Activity
- Molecular spectroscopy and chirality
- Scientific Research and Discoveries
- Differential Equations and Numerical Methods
- Quantum Mechanics and Non-Hermitian Physics
- Drilling and Well Engineering
Khyber Medical University
2025
Sultan Qaboos University
2009-2022
Quaid-i-Azam University
1988-2008
Chemical method synthesis nanoparticles have adverse environmental and health implications because they are toxic. Consequently, intensified efforts been put into developing green methods for nanomaterials using plant extract the of nanoparticles. This approach can be seen as a cheaper more environmentally friendly than traditional nanoparticle methods. Among number plant-derived materials available, propolis by-product honey, has found to potential its use reducing agent in Propolis...
It is well known that many anti-cancer medications can cause teratology and mutation in humans. The primary groups exposed to these drugs a hospital setting are nurses. Typically, handling patient waste, administering preparing antineoplastic agents, cleaning up chemotherapy spills the jobs carry highest risk of exposure. Objectives: To assess nurses' attitudes, practices, Knowledge related safe administration cytotoxic drugs. Methods: Descriptive inferential statistics were used analyze...
A complete classification of plane symmetric Lorentzian manifolds according to their additional isometries and metrics (or classes metrics) is obtained by solving the Killing equations. We obtain all metrics), that admit group motions Gr (where r=3,4,5,6,7 10) containing SO(2)⨷R2, minimal symmetry inherited manifolds.
Static plane symmetric space–times are classified according to their Ricci collineations (RCs). Their relation with isometries of the is established. Unlike spherically space–times, some metrics found for a nondegenerate tensor which have more RCs than isometries.
The homotheties of spherically symmetric space–times admitting maximal isometry groups larger than SO(3) are found along with their metrics, using the homothety equations and without imposing any restriction on stress-energy tensor. It turns out that there either 11 or 7 5 homotheties. For as a group, solution is provided in form derivatives metric coefficients, which then requires further classification, for example, according to different types tensor, has been done by Eardley [Commun....
It had been proved earlier that spherically symmetric, static space-times have ten, seven, six, or four independent Killing vectors (KV’s), but there are no cases in between. The case of six KV’s is investigated here. shown the space-time corresponds to a hyperboloid cross sphere, reminiscent Kaluza–Klein theory, with compactification from down two dimensions. In effect, unique metric for this corresponding uniform mass distribution over all space.
Cylindrically symmetric static manifolds are classified according to their homotheties and metrics. In each case the homothety vector fields corresponding metrics obtained explicitly by solving equations. It turns out that these admit groups Hm , where m= 4,5,7,11. This classification is then used identify cylindrically spaces admitting local homotheties, which globally prohibited due topological construction. Einstein's field equations physical nature of thus obtained.
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We investigate the use of invariants admitted Lie groups transformation in finding solutions systems ordinary differential equations (ODEs). Bluman's theorem (1990) invariant ODEs is extended for ODEs. Differential a group are used reducing order given system. Examples to illustrate methods.
Spherically symmetric space–times which admit a five-dimensional group of motions are studied and it is shown that can never be locally maximal but globally could group.
It is proved that plane symmetric Lorentzian manifolds representing a sourceless electromagnetic field admit only four-dimensional maximal symmetry group and consist of the McVittie 5 spacetime its non-static analogue. 4
Metrics admitting a minimal three dimensional Abelian isometry group, G3 are classified according to their Petrov types and metrics, giving all type O D metrics explicitly, without imposing source condition. The corresponding maximal Lie algebras for these obtained identified as well. admit with r = 4, 6, 7 10, whereas the classes of 3, 5 6 groups. Type perfect fluid then found explicitly shown Gr 10. which either or G4. This classification also proves that only non-null Einstein-Maxwell...
The existing literature discusses different strategies to solve a scalar ordinary differential equation using Lie point symmetries. We focus on three of these in order frame methods for finding solutions nonlinear systems equations. These include Lie's integration theorem, method successive reduction order, and the invariants admitted symmetry generators. Illustrative examples those taken from mechanics are presented highlight use methods.