52
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Electric and magnetic parts of the Weyl tensor and spin coefficients

&
Pages 37-49 | Received 19 Aug 2016, Accepted 28 Dec 2016, Published online: 12 Jun 2017

References

  • Ahsan, Z., (1999): Electric and magnetic Weyl tensors, Indian journal of Pure and Applied Mathematics, 30 (9), 863–870.
  • Ahsan, Z., (2015): Tensors: Mathematics of Differential Geometry and Relativity, Prentice Hall of India Pvt. Ltd., Delhi.
  • Barnes, A. and Rowlingson, R.R., (1989): Irrotational Perfect Fluids with a Purely Electric Weyl Tensor, Classical and Quantum Gravity, 6 (7), 949–960. doi: http://doi.org/10.1088/0264–9381/6/7/003
  • Campbell, S.J., and Wainwright, J., (1977): Algebraic Computing and the Newman-Penrose Formalism in General Relativity, General Relativity and Gravitation, 8 (12), 987–1001. doi: 10.1007/BF00759742
  • Cyganowski, S. and Carminati, J., (2000): Shear-free Perfect Fluids in General Relativ­ity: Gravito-magnetic Spacetimes, General Relativity and Gravitation, 32 (2), 221–233. doi: 10.1023/A:1001823208111
  • d’Inverno, R.A., (1976): Algebraic Computing in General Relativity, General Relativity and Gravitation, 6 (6), 567–539. doi: 10.1007/BF00761964
  • d’Inverno, R.A. and Russel-Clark, R.A., (1971): Classification of the Harrison Metrics, Journal of Mathematical Physics, 12 (7), 1258–1263. doi: 10.1063/1.1665729
  • Dautcourt, G. and Jann, K.P., (1983): REDUCE Programs for Algebraic Computation in General Relativity, Astronomische Nachrichten, 304 (5), 231–236. doi: 10.1002/asna.2113040505
  • Ferrando, J.S. and Saez, J.A., (2004): Aligned Electric and Magnetic Weyl Fields, General Relativityand Gravitation, 36 (11), 2497–2510. doi: 10.1023/B:GERG.0000046835.03099.b1
  • Haggag, S., (2007): Computer Algebra Systems in General Relativity, Learning Technologies and Mathematics Middle East Conference, Sultan Qaboos University, Oman, 1–7.
  • Hasmani, A.H., (2010): Algebraic Computation of Newmann-Penrose Scalars in General Relativity using Mathematica, Journal of Science, 1, 82–83.
  • Hasmani, A.H. and Andharia, P.I., (2011): Algebraic Computation of Spin Co-efficients in Newmann-Penrose Formalism Using Mathematica, Journal of Dynamical System and Geometric Theories 9, 27–36. doi: 10.1080/1726037X.2011.10698589
  • Hasmani, A.H. and Khambholja, V.G., (2011): Algebraic Computation of Riemann Curvature Tensor for a 5D Space-Time using Mathematica, National Conference on Recent Trends in Engineering and Technology, 1–3.
  • Hasmani, A.H. and Panchal, R.R., (2015): Algebraic Computations of General Observer Quantities using Mathematica, Astrophysics and Space Science, 359 (1), 1–5. doi: 10.1007/s10509-015-2465-6
  • Hasmani, A.H. and Panchal, R.R., (2015): Algebraic Computations of Complex Tetrad Components of Ricci Tensor, Proceedings of Recent Trends in Mathematics and Statistics, 97–104.
  • Hasmani, A.H., Patel, B.N. and Panchal, R.R., (2016): On Algebraic Computations of Elec­tric and Magnetic Parts of the Weyl Tensor, International Journal of Mathematics and Soft Computing, 6 (1), 7–12.
  • Lozanovski, C. and Carminati, J., (2001): On an Alignment Condition of the Weyl Tensor, General Relativity and Gravitation, 34 (6), 853–863. doi: 10.1023/A:1016365830842
  • Lozanovski, C. and Carminati, J., (2003): Purely Magnetic Locally Rotation­ally Symmetric Spacetimes, Classical and Quantum Gravity, 20 (1), 215–238. doi: http://doi.org/10.1088/0264-9381/20/1/316
  • McIntosh, C.B.G., Arianrhod, R., Wade, S.T. and Hoenselaers, C., (1994): Electric and Magnetic Weyl Tensors: Classificatins and Analysis, Classical and Quantum Gravity, 11 (6), 1555–1564. doi: http://doi.org/10.1088/0264-9381/11/6/019
  • Moylan, A.J., Scott, S.M. and Searle, A.C., (2005): Functional programming framework for GRworkbench, General Relativityand Gravitation, 37, (9), 1517–1528. doi: 10.1007/s10714-005-0132-x
  • Newman, E.T., and Penrose, R., (1962): An approach to gravitational radiation by a method of spin coefficients, J. Math. Phys., 3 (3), 566–578. doi: 10.1063/1.1724257
  • Sibgatullin, N., (1991): Oscillations and Waves in Strond Gravitational and Electromagnetic Fields, Springer-Verlag Berlin Heidelberg.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.