Skip to main content
SpringerLink
Log in

Bäcklund transformations in general relativity

  • Conference paper
  • First Online:
Solutions of Einstein's Equations: Techniques and Results

Part of the book series: Lecture Notes in Physics ((LNP,volume 205))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aleksejev, G.A. (1980), Pisma Zh. Eksp. Teor. Fiz. 32, 301; GR9 Abstracts, Vol. 1,1

    Google Scholar 

  • Bäklund, A. (1882), Math. Ann. 19, 387

    Google Scholar 

  • Bianchi, L. (1910), Vorlesungen über Differentialgeometrie, Leipzig, Berlin

    Google Scholar 

  • Belinski, V.A. and Zakharov, V.E. (1978), Zh. Eksp. Teor. Fiz. 75, 1953

    Google Scholar 

  • Cosgrove, C.M. (1979), Proceedings of the Second Marcel Grossmann Meeting on Recent Developments in General Relativity, Trieste

    Google Scholar 

  • Cosgrove, C.M. (1980), J. Math. Phys. 21, 2417

    Google Scholar 

  • Cosgrove, C.M. (1981), J. Math. Phys. 22, 2624

    Google Scholar 

  • Dietz W. and Hoenselaers, C. (1982), Proc. Roy. Soc. Lond. A 382, 221

    Google Scholar 

  • Ernst, F.J. (1968), Phys. Rev. 167, 1175; 168, 1415

    Google Scholar 

  • Harrison, B.K. (1978), Phys. Rev. Lett. 41, 1197

    Google Scholar 

  • Harrison, B.K. (1980) Phys. Rev. D 21, 1695

    Google Scholar 

  • Hoenselaers, C. (1980), J. Math. Phys. 21, 2241

    Google Scholar 

  • Hoenselaers, C., Kinnersley, W., and Xanthopoulos, B.C. (1979), Phys. Rev. Lett. 42, 481; J. Math. Phys. 20, 2530

    Google Scholar 

  • Kihara, M. and Tomimatsu, A. (1982), Progr. Theor. Phys. 67, 349

    Google Scholar 

  • Kihara, M., Oohara, K., Sato, H., and Tomimatsu, A. (1983) GR10 Contributed Papers, Vol. 1, 272

    Google Scholar 

  • Kinnersley, W. and Chitre, D. (1977-78), J. Math. Phys. 18, 1538; 19, 1926, 2037

    Google Scholar 

  • Kramer, D. (1980), GR9 Abstracts, Vol. 1, 42

    Google Scholar 

  • Kramer, D. (1982), J. Phys. A 15, 2201

    Google Scholar 

  • Kramer, D. and Neugebauer, G. (1968), Comm. Math. Phys. 10, 132

    Google Scholar 

  • Kramer, D. and Neugebauer, G. (1980), Phys. Letters A 75, 259

    Google Scholar 

  • Kramer, D. and Neugebauer, G. (1981), J. Phys. A 14, L 333

    Google Scholar 

  • Maison, D. (1979), J. Math. Phys. 20, 871

    Google Scholar 

  • Nakamura, Y. (1979), Math. Japon. 24, 469

    Google Scholar 

  • Neugebauer, G. (1979), J. Phys. A 12, L67

    Google Scholar 

  • Neugebauer, G. (1980), J. Phys. 175, 1737; L19

    Google Scholar 

  • Neugebauer, G. and Kramer, D. (1983), J. Phys. A 16, 1927

    Google Scholar 

  • Neugebauer, G. and Meinel, R. (1984), Phys. Lett. A (to appear)

    Google Scholar 

  • Oohara, K. and Sato, H. (1981), Progr. Theor. Phys. 65, 1891

    Google Scholar 

  • Tomimatsu, A. (1983), Progr. Theor. Phys. 70, 385

    Google Scholar 

  • Tomimatsu, A. and Sato, H. (1973), Progr. Theor. Phys. 50, 95

    Google Scholar 

  • Tomimatsu, A. and Kihara, M. (1982), Progr. Theor. Phys. 67 1406

    Google Scholar 

  • Veselov, A.P. (1982), Preprint, L.D. Landau Institute for Theoretical Physics, Moscow

    Google Scholar 

  • Wahlquist, H. and Estabrook, F. (1975), J. Math. Phys. 16, 1

    Google Scholar 

  • Yamazaki, M. (1983), Phys. Rev. Lett. 50, 1027; Progr. Theor.Phys. 69, 503

    Google Scholar 

  • Zakharov, V.E., Manakov, S.V., Novikov, S.P., and Pitajewski, L.P. (1980), The theory of solitons: the method of the inverse problem (in Russian), Nauka, Moscow

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. FSU Jena, Sektion Physik, Max-Wien-Platz 1, DDR-6900, Jena, GDR

    D. Kramer & G. Neugebauer

Authors
  1. D. Kramer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Neugebauer
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

C. Hoenselaers W. Dietz

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Kramer, D., Neugebauer, G. (1984). Bäcklund transformations in general relativity. In: Hoenselaers, C., Dietz, W. (eds) Solutions of Einstein's Equations: Techniques and Results. Lecture Notes in Physics, vol 205. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13366-6_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-13366-6_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13366-7

  • Online ISBN: 978-3-540-38922-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation