Skip to main content
Log in

A local characterization of Schwarzschild and Reissner metrics

  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

A local characterization of Schwarzschild and Reissner metrics is made by using the concepts of infinitesimal null anisotropy (or equivalently, infinitesimal isotropy) and weak affinity.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Beem, J. K., and Ehrlich, P. E. (1981).Global Lorentzian Geometry (Marcel Dekker, New York).

    Google Scholar 

  2. Dajczer, M., and Nomizu, K. (1980).Bol. Soc. Bras. Math. 11, 25.

    Google Scholar 

  3. Dajczer, M., and Nomizu, K. (1980).Math. Ann. 247, 279.

    Google Scholar 

  4. Deszez, R., Verstraelen, L., and Vranken, L. (1991).Gen. Rel. Grav. 23, 671.

    Google Scholar 

  5. Frankel, T. (1979).Gravitational Curvature (Freeman, San Francisco).

    Google Scholar 

  6. García-Río, E. and Kupeli, D. (1994).J. Geom. Phys. 13, 207.

    Google Scholar 

  7. Harris, H. (1985).Gen. Rel. Grav. 17, 493.

    Google Scholar 

  8. Karcher, H. (1982).Arch. Math. 38, 58.

    Google Scholar 

  9. Koch-Sen, L. (1985).J. Math. Phys. 26, 407.

    Google Scholar 

  10. O'Neill, B. (1983).Semi-Riemannian Geometry (Academic Press, New York).

    Google Scholar 

  11. Ponge, R. and Reckziegel, H. (1993).Geom. Dedicata 48, 15.

    Google Scholar 

  12. Poor, W. A. (1981).Differential Geometric Structures (McGraw-Hill, New York).

    Google Scholar 

  13. Sachs, R. K., and Wu, H. (1977).General Relativity for Mathematicians (Springer-Verlag, New York).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

García-Río, E., Kupeli, D.N. A local characterization of Schwarzschild and Reissner metrics. Gen Relat Gravit 26, 1233–1248 (1994). https://doi.org/10.1007/BF02106715

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02106715

Keywords

Navigation