Kumar Shwetketu Virbhadra

Kumar  Shwetketu  Virbhadra


Mathematics Department
Korman Center
Drexel University
33rd and Market Streets
Philadelphia PA, 19104
USA

Education
Ph.D.   Physical Research Laboratory    India  Mentor: Prof. P. C. Vaidya  (known for the Vaidya metric - a non-static generalization to the  Schwarzschild metric.)  Click here for a video.
ds2=-(1-2M(u)r)du2Ī2dudr+r2(dθ2+sin2θdϕ2)ds^2 = -(1-\frac{2M(u)}{r}) du^2\pm 2 du dr + r^2 (d\theta^2 +\sin^2 \theta d\phi^2)


Teaching


Advanced level courses Intermediate level courses Intro-level courses  (for non-science majors)
  • Temple1.pdf (Evaluation: 4.9 out of 5 at Temple University)
  • Temple2.pdf (Evaluation: 4.9 out of 5 at Temple University)
  • Temple3.pdf (Evaluation: 4.7 out of 5 at  Temple University)
  • Drexel1.pdf (Evaluation: 4.7 out of 5 at  Drexel University)
  • Drexel2.pdf (Evaluation: 4.8 out of 5 at  Drexel University)
  • TCNJ1.pdf  (Evaluation: 4.5  out of 5 at TCNJ).
  • TCNJ2.pdf (Evaluation : 4.1  out of 5 at TCNJ)


Research

   Topics of Research Experience   Topics of Present Research Interest
  Gravitational Lensing A broad range of topics in Relativity, Astrophysics, and Cosmology.
A few of those are listed here:
 Gravitational Collapse and  Cosmic Censorship         o Gravitational Lensing
 Gravitational Wave   
        o Gravitational Collapse and  Cosmic Censorship
 Exact Solutions of  Einstein's Field  Equations    
        o Gravitational Wave
 Spin Dynamics in Curved Spacetime            o Dark Matter and Dark Energy
 Energy-momentum Problem in General Relativity
 Lower Dimension Gravity

Nathan Rosen (A principal collaborator of Albert Einstein, and of the Einstein-Podolsky-Rosen paradox and  the Einstein-Rosen bridge  fame.) Click here for my  joint paper with Prof.  Nathan Rosen.

G. F. R. Ellis  (A reputed cosmologist and co-author with Stephen Hawkin of a very well-known book  .)  Click here  for my  3 joint papers with Prof. G. F. R.Ellis.                                      A few other   physicists.
 List of all papers
Click here.
Number of citations excluding self-citations  (according to INSPIRES)      
Number of citations (according to INSPIRES)                                                      
Citations metrics (according to INSPIRES) -- -------------------------------------------------
3951
4070
------
Click  here.
Click here.
Click here.
Number of all papers                                                                                             
Number of published papers in refereed journals                                             
    * Number of sole-authored papers in refereed journals                                        
    * Number of  collaborated papers  in refereed journals                                      
           - Number of papers (in refereed journals) with 1 collaborator                      
           - Number of papers (in refereed journals) with 2 collaborators                       
           - Number of papers with  more than 2 collaborators                              
32
29
15
14
10

0
Click here.


Research Supervision
I introduce students to research in a manner they get deeply involved and quickly acquire self-confidence to carry out independent research work. I have  never joined as a co-author with my graduate as well as undergraduate students because they are rightful authors of their work.
S. S. Xulu, Ph. D. (2003). ThesisAcknowledgementsPublications.
A. Y. Bin-Nun, Ph. D. (2010, Univ. of Pennsylvania). [Initial supervision.]  ThesisAcknowledgements Publications.

T. T. Bringley (2002, Duke University).  Mod. Phys. Lett. A 17 157 (2002).
(
He solved a 50-year old problem on the mechanism of valveless pumping and earned  his Ph. D. degree at the Courant Institute of Mathematical Sciences [1], [2])
J. Deandrea and K. Alexander.
Published in Phys. Rev. D 89 12301 (2014).  Click here for the full paper on gr-qc archive. Poster.
W. Rhodes and  A. Betz Poster. J. Deandrea and S. Patel, Manuscript under preparation. Poster.


Computer Experience
Research
Teaching
  • Mathematica
  • MathTensor
  • Reduce
  • Maple
  • Fortran
  • Matlab
  • Blackboard
  • Sakai
  • SOCS
  • Microsoft Office

Professional Services

  • Physical Review Letters
  • Physical Review D
  • Astronomy and Astrophysics
  • General Relativity & Gravitation
  • Classical and Quantum Gravity (IOP)
  • New Journal of Physics (IOP)
  • Foundations of Physics
  • Living Reviews in Relativity
  • Il Nuovo Cimento B
  • Journal of Physics A
  • Acta Astronautica
  • Journal of Modern Physics
  • Applied Mathematics (Scientific Research Publishing, USA)
  • Applied Mathematics
  • IOP SciNotes
  • Monthly Notices of  the  Royal Astronomical Society
  • Europhysics Letters
  • Central European Journal of Physics
  • Canadian Journal of Physics
  • European Physics Journal C
  • Modern Physics Letters A
  • International Journal of Modern Physics A
  • International Journal of Modern Physics D
  • Fizika B
  • Astrophysics & Space Science
  • Pramana - Journal of Physics (IAS)
  • Indian Journal of Physics (Springer)
  • Advances in High Energy Physics  
  • Chinese journal of Physics (IOP)
  • International Journal of Theoretical Physics
  • The Galactic Black Hole. Lectures on General Relativity and Astrophysics. By Heino Falcke and Friedrich W. Hehl (Eds.) 353p., Institute of Physics Publishing, Bristol and Philadelphia, 2003. ISBN 0-7503-0837-0. Gen. Relativ. Gravit. 36, pp.1983-1985 (2004).
  • Itís About Time. Understanding Einsteinís Relativity. By N. David Mermin 192p., Princeton University Press, Princeton and Oxford, 2005. ISBN 0-691-12201-6. The Observatory: A Review of Astronomy, 126,  1194, p. 384 ( 2006).