Dr. Kashif – Math

Dr. Abdul Rehman Kashif


Dr. Abdul Rehman Kashif has completed his PhD degree in the symmetries of spacetimes in General Relativity from the Quad-i-Azam University, Islamabad, in 2004 and joined as an Assistant Professor in the College of Electrical and Mechanical Engineering (NUST) Islamabad in the same year. He has worked as a Postdoctoral fellow in the University of Aberdeen, Scotland, UK. He has vast teaching experience in undergraduate and graduate teaching in Mathematics. Currently, he is working in N-Body Problem and restricted 5 or 6 body problems in Celestial Mechanics.

Postdoctoral Mathematics University of Aberdeen, Scotland, UK 2007
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
Seminar Incharge Capital University of Science and Technology, (CUST), Islamabad Since-2015
1. HEC Postdoctoral Scholarship 2007
2. Raziuddin Scolarship for Ph.D 1999-2004, Quaid-i-Azam, University, Islamabad
  1. Symmetries of Spacetimes (General Relativity);
  2. N-Body Problem (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
1. 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) (ISI Impact factor:1.622)
2. 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). (ISI Impact factor: 0.949)
3. 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 (ISI Impact factor: 1.657)
4. 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. (ISI Impact factor: 0.949)
5. Shoaib, M., Sivasankaran, A. & Kashif, A. R. (2014), “Central configurations in the collinear fivebody problem”, Turkish Journal of Mathematics, 38 (3), 576-585. (ISI Impact factor: 0.311)
6. 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. (ISI Impact factor: 3.168)
7. 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. (ISI Impact factor: 1.184)
8. 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. (ISI Impact factor: 1.184)
9. 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. (ISI Impact factor: 1.771)
10. 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. (ISI Impact factor: 0.27)
11. 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. (ISI Impact factor: 0.27)
12. 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.(ISI Impact factor: 0.27)
13. 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). (ISI Impact factor: 1.243)
14. Bokhari, A. H., & Kashif, A. R. (1996). Curvature collineations of some static spherically symmetric spacetimes. Journal of Mathematical Physics, 37(7), 3498-3504. (ISI Impact factor: 1.243)
1. 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
2. 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.
3. Kashif, A. R., & Saifullah, K. (2010). Curvature and Weyl collineations of spacetimes. arXiv preprint arXiv:1005.1387
4. Kashif, A. R., Saifullah, K., & Shabbir, G. (2008). Symmetries of the Weyl tensor in Bianchi V spacetimes. arXiv preprint arXiv:0810.3198.
5. 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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