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ISRN Astronomy and Astrophysics
Volume 2012 (2012), Article ID 178561, 6 pages
doi:10.5402/2012/178561
Research Article

A Nonaxisymmetric Solution of Einstein’s Equations Featuring Pure Radiation from a Rotating Source

William Davidson1,2

1Mathematics and Statistics Department, University of Otago, Dunedin, New Zealand
221 Rowbank Way, Loughborough, Leicestershire LE11 4AJ, UK

Received 7 January 2012; Accepted 8 February 2012

Academic Editors: H. Dehnen and N. Fornengo

Copyright © 2012 William Davidson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. I. Robinson and J. R. Robinson, “Vacuum metrics without symmetry,” International Journal of Theoretical Physics, vol. 2, pp. 231–242, 1969. View at Publisher · View at Google Scholar
  2. I. Robinson, A. Schild, and H. Strauss, “A generalized Reissner-Nordström solution,” International Journal of Theoretical Physics, vol. 2, no. 3, pp. 243–245, 1969. View at Publisher · View at Google Scholar · View at Scopus
  3. P. C. Vaidya, “The external field of a radiating star in general relativity,” Current Science, vol. 12, no. 6, p. 183, 1943.
  4. D. Kramer, “Gravitational field of a rotating radiating source,” in Proceedings of the Tezisy 3rd Soviet gravitation conference, p. 321, Yerevan, USSR, 1972.
  5. P. C. Vaidya and L. K. Patel, “Radiating Kerr metric,” Physical Review D, vol. 7, no. 12, pp. 3590–3593, 1973. View at Publisher · View at Google Scholar · View at Scopus
  6. R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics,” Physical Review Letters, vol. 11, no. 5, pp. 237–238, 1963. View at Publisher · View at Google Scholar
  7. E. Herlt, “Kerr-Schild-Vaidya fields with axial symmetry,” General Relativity and Gravitation, vol. 12, no. 1, pp. 1–7, 1980. View at Publisher · View at Google Scholar · View at Scopus
  8. G. C. Debney, R. P. Kerr, and A. Schild, “Solutions of the Einstein and Einstein-Maxwell equations,” Journal of Mathematical Physics, vol. 10, no. 10, pp. 1842–1854, 1969. View at Scopus
  9. J. Lewandowski and P. Nurowski, “Algebraically special twisting gravitational fields and CR structures,” Classical and Quantum Gravity, vol. 7, no. 3, Article ID 007, pp. 309–328, 1990. View at Publisher · View at Google Scholar · View at Scopus
  10. J. Tafel, P. Nurowski, and J. Lewandowski, “Pure radiation field solutions of the Einstein equations,” Classical and Quantum Gravity, vol. 8, pp. L83–L88, 1991.
  11. J. Lewandowski, P. Nurowski, and J. Tafel, “Algebraically special solutions of the Einstein equations with pure radiation fields,” Classical and Quantum Gravity, vol. 8, no. 3, article no. 009, pp. 493–501, 1991. View at Publisher · View at Google Scholar · View at Scopus
  12. A. M. Grundland and J. Tafel, “Group invariant solutions to the Einstein equations with pure radiation fields,” Classical and Quantum Gravity, vol. 10, no. 11, article no. 016, pp. 2337–2345, 1993. View at Publisher · View at Google Scholar · View at Scopus
  13. I. Robinson and A. Trautman, “Some spherical gravitational waves in general relativity,” Proceedings of the Royal Society A, vol. 265, pp. 463–473, 1962. View at Publisher · View at Google Scholar
  14. D. Kramer and U. Hähner, “A rotating pure radiation field,” Classical and Quantum Gravity, vol. 12, no. 9, article no. 015, pp. 2287–2296, 1995. View at Publisher · View at Google Scholar · View at Scopus
  15. H. Stephani, “A method to generate algebraically special pure radiation field solutions from the vacuum,” Journal of Physics A, vol. 12, no. 7, article no. 021, pp. 1045–1049, 1979. View at Publisher · View at Google Scholar · View at Scopus
  16. H. Stephani, D. Kramer, M. A. H. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions of Einstein’s Field Equations, Cambridge University Press, Cambridge, UK, 2003.
  17. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, W. H. Freeman and Co., San Franscisco, Calif, USA, 1973.
  18. J. M. Cohen, “Angular momentum and the Kerr metric,” Journal of Mathematical Physics, vol. 9, pp. 905–906, 1968. View at Publisher · View at Google Scholar