Dr. Kashif – Math

Dr. A. Rehman Kashif


Dr. Abdul Rehman Kashif completed his Ph.D. degree in the symmetries of spacetimes in General Relativity from the Quad-i-Azam University, Islamabad, in 2004. He has worked as a Postdoctoral fellow at the University of Aberdeen, Scotland, UK. He has vast teaching experience in undergraduate and graduate teaching in Mathematics. He has also represented Pakistan in many advanced countries to present his research work in academia. He is an HEC-approved supervisor and currently supervising MS and Ph.D. students. He is an active researcher in the field of Newtonian and Einstein Gravities. Currently, he is working on the N-Body Problem and restricted 5 or 6 body problems in Newtonian Mechanics and Gravitational Waves and Blackholes in Einstein’s Gravity.

PhD Mathematics Quaid-i-Azam, University, Islamabad 2003
MPhil Mathematics Quaid-i-Azam, University, Islamabad 1995
MSc Mathematics Quaid-i-Azam, University, Islamabad 1992
Associate Professor Capital University of Science and Technology (CUST), Islamabad Since – 2015
Assistant Professor University of Hail, Hail, Saudi Arabia 2009-2005
Assistant Professor EME college, NUST, Islamabad 2004-2009
1. N-Body Problem
2. Symmetries of Spacetimes
3. Differential Geometry
4. Celestial Mechanics
1. MS On the Planar Central Configurations of Rhomboidal and Triangular Four- and Five-Body Problems
2. MS Restricted Trapezoid Five-Body Problem
3. MS Planar Central Configurations of Restricted Six-Body Problems
4. MS Central Configuration in a Symmetric Five-Body Problem
5. MS Regions of Central Configurations in a Symmetric 4+1-Body Problem
6. MS Symmetric collinear equilibrium configurations for two pairs of equal masses
7. MS Symmetric collinear central configurations for four masses
Kashif, A. R., Shoaib, M. & Csillik, I, S, “On the planar central configurations of rhomboidal and triangular four- and five-body problems” Astrophys Space Sci., 362: 182 (2017)
Kashif, A. R., Shoaib, M. & Latif .M. A, “Improved version of perturbed Ostrowski type inequalities for n-times differentiable mappings with three-step kernel and its application”, J. Nonlinear Sci. Appl. , 9 , 3319-3332 (2016).
Shoaib, M., Kashif, A. R & Sivasankaran, A. (2016), “Planar Central Configurations of symmetric five-body problems with two pairs of equal masses”, Advances in Astronomy, Volume 2016 (2016), Article ID 9897681, 11 pages
Qayyum, A. , Kashif, A. R., Shoaib, M.& Fayed, I. (2016), “Derivation and applications of inequalities of Ostrowski type for n-times differentiable mappings for cumulative distribution function and some quadrature rules”, J. Nonlinear Sci. Appl. , 9 , 1844-1857.
Shoaib, M., Sivasankaran, A. & Kashif, A. R. (2014), “Central configurations in the collinear fivebody problem”, Turkish Journal of Mathematics, 38 (3), 576-585.
Hall, G. S., Lonie, D. P., & Kashif, A. R. (2008). Some remarks on the symmetries of the curvature and Weyl tensors. Classical and Quantum Gravity, 25(12), 125008.
Bokhari, A. H., Kara, A. H., Kashif, A. R., & Zaman, F. D. (2007). On the symmetry structures of the Minkowski metric and a Weyl re-scaled metric. International Journal of Theoretical Physics, 46(11), 2795-2800.
Bokhari, A. H., Kara, A. H., Kashif, A. R., & Zaman, F. D. (2006). Noether symmetries versus Killing vectors and isometries of spacetimes. International Journal of Theoretical Physics, 45(6), 1029-1039.
Bokhari, A. H., Kashif, A. R., & Qadir, A. (2003). A Complete Classification of Curvature Collineations of Cylindrically Symmetric Static Metrics. General Relativity and Gravitation, 35(6), 1059-1076.
Bokhari, A. H., Kashif, A. R., & Kara, A. H. (2003). Spherically symmetric static space-times and their classification by Ricci inheritance symmetries. Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 118(8), 803-818.
Shabbir, G., Bokhari, A. H., & Kashif, A. R. (2003). Proper curvature collineations in cylindrically symmetric static space-time. Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 118(9), 873-886.
Bokhari, A. H., Kashif, A. R., Qadir, A., & Shaikh, A. G. (2000). Curvature boldmath versus Ricci and metric symmetries in spherically symmetric, static spacetimes. Nuovo Cimento B Serie, 115, 383.
Bokhari, A. H., Kashif, A. R., & Qadir, A. (2000). Curvature Collineations of Some Plane Symmetric Static Spacetimes.Journal of Mathematical Physics (Vol. 1, pp. 90-91).
Bokhari, A. H., & Kashif, A. R. (1996). Curvature collineations of some static spherically symmetric spacetimes. Journal of Mathematical Physics, 37(7), 3498-3504.
Bokhari A. H., Kashif A. R, Nasir M. Y (2011). Curvature collineation equations: an alternate form Proceeding Pakistan Academy of sciences 38 (2), 179-180
Kashif A R, Mahomed F M and Q Asghar 2007, Symmetry Classication and Invariant Characterization of Two-dimensional Geodesic Equations, Mathematical Physics Proceedings of the 12th Regional Conference, Pakistan, edited by M Jamil Aslam, Faheem Hussain, Asghar Qadir, Riazuddin and Hamid Saleem, World Scientic Publications, 369-374.
Kashif, A. R., & Saifullah, K. (2010). Curvature and Weyl collineations of spacetimes. arXiv preprint arXiv:1005.1387
Kashif, A. R., Saifullah, K., & Shabbir, G. (2008). Symmetries of the Weyl tensor in Bianchi V spacetimes. arXiv preprint arXiv:0810.3198.
Shoaib M., Sivasankaran, and A. R. Kashif (2014), ‘Central configurations of an isosceles trapezoidal five-body problem’, Conference on Hamiltonian Systems and Celestial Mechanics 2014(HAMSYS2014), CRM, Barcelona, Spain, 2 – 6 June 2014.

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