General Relativity and Gravitation

, Volume 36, Issue 9, pp 2183–2187 | Cite as

Addendum to: Gen. Rel. Grav. 28 (1996) 1161, First Prize Essay for 1996: Neutrino Oscillations and Supernovae

  • D. V. Ahluwalia-Khalilova


In a 1996 JRO Fellowship Research Proposal (Los Alamos), the author suggested that neutrino oscillations may provide a powerful indirect energy transport mechanism to supernovae explosions. The principal aim of this addendum is to present the relevant unedited text of Section 1 of that proposal. We then briefly remind, (a) of an early suggestion of Mazurek on vacuum neutrino oscillations and their relevance to supernovae explosion, and (b) Wolfenstein's result on suppression of the effect by matter effects. We conclude that whether or not neutrino oscillations play a significant role in supernovae explosions shall depend if there are shells/regions of space in stellar collapse where matter effects play no essential role. Should such regions exist in actual astrophysical situations, the final outcome of neutrino oscillations on supernovae explosions shall depend, in part, on whether or not the LNSD signal is confirmed. Importantly, the reader is reminded that neutrino oscillations form a set of flavor-oscillation clocks and these clock suffer gravitational redshift which can be as large as 20 percent. This effect must be incorporated fully into any calculation of supernova explosion.

Neutrino oscillation gravitational redshift 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Mazurek, T. J. (1979). In Proceedings, Neutrino '79, Bergen, NORDITA-79-20, Nordita, Copenhagen, Vol. 2, pp. 438–451. (SPIRES entry).Google Scholar
  2. [2]
    Wolfenstein, L. (1979). Phys. Rev. D 20, 2634.CrossRefGoogle Scholar
  3. [3]
    Goswami, S. (2000). Pramana 54, 173 (arXiv:hep-ph/0104094).Google Scholar
  4. [4]
    Hix, W. R., Mezzacappa, A., Messer, O. E. B., and Bruenn, S. W. (2003). J. Phys. G 29,2523 (arXiv:astro-ph/0310763).Google Scholar
  5. [5]
    Liebendoerfer, M., Rampp, M., Janka, H. T., and Mezzacappa, A. (2003). (arXiv:astro-ph/0310662).Google Scholar
  6. [6]
    Ahriche, A., and Mimouni, J. (2003). JCAP 0311, 004 (arXiv:astro-ph/0306433).Google Scholar
  7. [7]
    Fryer, C. L. (2003). Int. J. Mod. Phys. D 12, 1795.CrossRefGoogle Scholar
  8. [8]
    Mikheyev, S. P., and Smirnov, A. Y. (1989). Prog. Part. Nucl. Phys. 23, 41.CrossRefGoogle Scholar
  9. [9]
    Wolfenstein, L. (1978). Phys. Rev. D 17, 2369.CrossRefGoogle Scholar
  10. [10]
    Athanassopoulos, C. et al., [LSND Colaboration] (1998). Phys. Rev. Lett. 81, 1774 (arXiv:nucl-ex/ 9709006).CrossRefGoogle Scholar
  11. [11]
    Davis, R., Jr. (2003). Int. J. Mod. Phys. A 18, 3089 [Nobel Lecture Presented 8 December 2002].CrossRefGoogle Scholar
  12. [12]
    Koshiba, M. (2003). Int. J. Mod. Phys. A 18, 3109 [Nobel Lecture Presented 8 December 2002].CrossRefGoogle Scholar
  13. [13]
    Toshito, T. [Super-Kamiokande Collaboration] (2001). (arXiv:hep-ex/0105023).Google Scholar
  14. [14]
    Latimer, D. C., and Ernst, D. J. (2003). (arXiv:nucl-th/0310083).Google Scholar
  15. [15]
    Ahluwalia, D. V. (1997). Int. J. Mod. Phys. A 12, 5081 (arXiv:hep-ph/9612471).CrossRefGoogle Scholar
  16. [16]
    Ahluwalia, D. V., and Burgard, C. (1996). Gen. Relat. Grav. 28, 1161 (arXiv:gr-qc/9603008); Ahluwalia, D. V., and Burgard, C. (1997). Erratum: Gen. Relat. Grav.29, 681.Google Scholar
  17. [17]
    Konno, K., and Kasai, M. (1998). Prog. Theor. Phys. 100, 1145.Google Scholar
  18. [18]
    Wudka, J. (2001). Phys. Rev. D 64, 065009 (arXiv:gr-qc/0010077).CrossRefGoogle Scholar
  19. [19]
    Crocker, R. M., and Mortlock, D. J. (2003). (arXiv:hep-ph/0308168).Google Scholar
  20. [20]
    Linet, B., and Teyssandier, P. (2002). (arXiv:gr-qc/0206056).Google Scholar
  21. [21]
    Adak, M., Dereli, T., and Ryder, L. H. (2001). Class. Quant. Grav. 18, 1503 (arXiv:gr-qc/0103046).CrossRefGoogle Scholar
  22. [22]
    Grossman, Y., and Lipkin, H. J. (1996). (arXiv:hep-ph/9606315).Google Scholar

Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • D. V. Ahluwalia-Khalilova
    • 1
  1. 1.ISGBG, Department of Mathematics, ApUniversity of Zacatecas (UAZ)ZacatecasMexico

Personalised recommendations