Department of Mathematical Sciences

Prof A Kubeka

College of Science, Engineering and Technology
School of Science
Department: Mathematical Sciences
Associate Professor
Tel: 011 670 9157
Fax: 011 670 9171
E-mail: kubekas@unisa.ac.za

Expertise

  • Applied Numerical Analysis
  • Computational General Relativity
  • Mathematical General Relativity
  • Relativistic Astrophysics
  • Relativistic Cosmology

Qualifications

  • BSc (Mathematics,Physics), Natal University (Pietermaritzburg), 2001
  • BScHons (Physics), Natal University (Pietermaritzburg), 2002
  • MSc(Applied Mathematics), University of South Africa, 2007
  • MED(Open and Distance Learning), University of South Africa, 2016
  • Graduate Certificate in Technology in Distance Education and e-Learning, University of Maryland, University College, 2014
  • PHD (Applied Mathematics), University of South Africa, 2014

Fields of academic interests

  • Mathematical Physics: Intrinsic Time Quantum Gravity (ITQG) with Prof Eyo Ita (US)

  • Theoretical Physics: with Prof. Jafer Sadeghi (Iran)

  • Relativistic Astrophysics: Gravitational Wave Modelling with Prof Nigel Bishop (SA)

  • Gravitational Wave Astronomy: Gravitational Wave Analysis with collaborators (US)

  • Computational Relativity: Modelling of Compact Objects with Prof Nigel Bishop

  • Mathematical Cosmology: modelling of variable Lambda with Prof Beesham (SA)

  • Biomathematics, in particular modelling of hepatological process in humans with Dr. Tracy Masebe (SA)

  • General Mathematical modelling with Prof. Doungmo Goufo (SA)

Field of Specialisation

  • Computational Relativity
  • Relativistic Astrophysics
  • Theory of General Relativity

Books

Book chapters:

  • “Gravitational Radiation Emitted by Point-Particles in Close Orbit around a Schwarzschild black Hole” 19 the International General Relativity Society (GR18) conference, Mexico City, Mexico, (Jul. 2011).

Books:

  • Kubeka A.S., “Linear perturbations of a Schwarzschild black hole”, LAP

 Lambert Academic Publishing, AG & Co KG, ISBN 978-3-8383-4435-5, Germany,   

Journal articles

General Relativity

  • Kubeka A.S. and Bishop N.T., “On the Ricci tensor of non-stationary axi- symmetric space-times,” Int J  Theor Phys  (2008) 47:765-771. Impact factor 1.086 (2014).
  • Jaranowski P. Arun K.G. Brack L. Blanchet L. Buonanno A. De Laurentis M.F.  Detweiler S. Dittus H. Ganz K. Hikida W. Iyer B.R. Keidl T.S. Dong-Hoon Kim, KoKKotas K.D. Kol B. Kubeka A.S. Lammerzahl C. Majar J. Messaritaki E. Nagar, A. Nakano H. Price L.R. Qusailah M.S.S. Radicella N. Sago N. Singh D. Sotani H. Tanaka T. Tartaglia A. Va Suth M. Vega I. Whiting B.F. Wiseman A.G. Yoshida    S., “Analytic approximations, perturbation methods, and their application” Classical Quantum Gravity,  (25) 114020 (9pp) (2008). Impact factor 3.562 (2014).

Classical Black Holes-Gravitational radiation

  • Bishop N.T. and Kubeka A.S., “Quasi-normal modes of a Schwarzschild white hole”,  Phys. Rev. D   80, 064011 (2009). Impact factor 4.922 (2012),
  • Kubeka A.S., “The gravitational radiation emitted by a point-particle in close orbit around a Schwarzschild black hole”, Journal of modern physics , 3, 1503 – 1515  (2012). It appears again in the 19 th International  General Relativity Soceity  (GR19) conference proceedings (2011). Impact factor 0.39 (2014),
  • Kubeka A.S., “Erratum: The gravitational radiation emitted by a system consisting of a point particle in close orbit around a Schwarzschild black hole”,Journal of modern physics, 4, 1136-1139.  Impact factor 0.39 (2013),
  • Kubeka A.S. and Bishop N.T.  “The transformation of a Schwarzschild black hole linear perturbations to Bondi frame”, Journal of modern physics, 5, 1767-1778 . Impact factor 0.39 (2014),
  • Kubeka A.S., “The gravitational radiation emitted by two quasi-particles around a Schwarzschild black hole”, Journal of Modern Physics, (in press, 2017).

 Quantum Black Holes

  • J. Sadeghi J., Kubeka A.S.  “P-V Criticality of modified BTZ Black Hole”, International Journal of Theoretical Physics, Accepted (2015). Impact factor 1.184 (2014).

  Cosmology-f(R) gravity

  •  J. Sadeghi J., Kubeka A.S. and Rostami M. “Modified $ R^2 \log \beta R $ corrections gravity model mimiking a cosmological constant”,  Physics Letter B,  Accepted (2015). Impact factor 6.02 (2014).

 Quantum Gravity-Quantum Geometrodynamics

  • Eyo Eyo Ita III, Kubekas A.S. “Symplectic structure of intrinsic time gravity”  Universe, 2 (3) (2016).

Mathematical Physics

  • Jafari H, Sadeghi J, Safari F, Kubeka AS, and Alizadeh G., Factorization method for fractional Schr\"odinger equation in $D$-dimensional fractional space and homogeneous manifold $SL (2, c )/ GL (1, c ), (Submitted, 2016).

Mathematical Modelling

  • Goufo E.F.D, and Kubeka AS, “Irregular behaviour for higher order traveling waves analysed via the non-local and non-singular kernel derivative”, (Accepted 2016)
  • Goufo E.F.D, and Kubeka AS, “An approximation techniques for non-autonomous and non-local rock fracture modes”, (Submitted, 2017),
  • Doungmo Goufo E.F., Tchepmo P., Ali Z., and Kubeka A.S. “A comparative analysis of the Harry Dym model with and without singular kernel, (Submitted, 2017).

M.2. Papers in Conference Proceedings

  • “Gravitational Radiation Emitted by Point-Particles in Close Orbit around a Schwarzschild black Hole” 19 the International General Relativity Society (GR18) conference, Mexico City, Mexico, (Jul. 2011).

 

Professional positions, fellowships & awards

I am one of the reviewers for the following international Journals:

  • International Journal of Theoretical Physics
  • International Journal of Modern Physics
  • British Journal of Mathematics & Computer Science

Projects

I have research projects in the following

  • Computational Relativity
  • Mathematical Physics (Lorentzian Geometry)
  • Quantum Gravity