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

Mathematics
(Addressed to advanced level students and faculty members.)
 Institution

39. General Topology
40.. Introduction to Differential Topology
41. Differential  Geometry
42. Introduction to Algebraic Topology
(USP, Philadelphia)
(USP, Philadelphia)
(USP, Philadelphia)
(USP, Philadelphia)
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 or  here.
Number of citations excluding self-citations  (according to INSPIRES)      
Number of citations (according to INSPIRES)                                                      
Citations metrics (according to INSPIRES) -- -------------------------------------------------
3668
3783
------
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. Click here.)
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)
  • 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).