Skip to main content
SpringerLink
Log in

Theories of gravity in 2 + 1 dimensions

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We discuss the failure of general relativity to provide a proper Newtonian limit when the spacetime dimensionality is reduced to 2+1 and try to bypass this difficulty by assuming alternative equations for the gravitational field. We investigate the properties of spacetimes generated by circularly symmetric matter distributions in two cases: weakening Einstein equations, and by considering the Brans-Dicke theory of gravity. A comparison with the corresponding Newtonian picture is made.

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

Access this article

Log in via an institution

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

  • Adler, R., Bazin, M., and Shiffer, M. (1975).Introduction to General Relativity, Sec. 4.3., 2nd ed., McGraw-Hill, Tokyo.

    Google Scholar 

  • Andronov, A. A.,et al. (1973).Qualitative Theory of Second Order Dynamic Systems, Wiley, New York.

    Google Scholar 

  • Bezerra, V. B. (1990).Annals of Physics,203, 392.

    Google Scholar 

  • Cornish, N. J., and Frankel, N. E. (1991).Physical Review D,43, 2555.

    Google Scholar 

  • Deser, S., Jackiw, R., and Hooft, G. (1984).Annals of Physics,152, 220.

    Google Scholar 

  • Elmer, J. A., and Olenick, R. P. (1982).American Journal of Physics B,50, 160, 179.

    Google Scholar 

  • Hiscock, W. A. (1985).Physical Review D,31, 3288.

    Google Scholar 

  • Jackiw, R. (1985).Nuclear Physics B,252, 343.

    Google Scholar 

  • Romero, C., and Barros, A. (1993).Physics Letters A,173, 243.

    Google Scholar 

  • Vilenkin, A. (1981).Physical Review D,23, 852.

    Google Scholar 

  • Wilkins, D. (1984).American Journal of Physics, B,54, 726.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, Cx. Postal 5008, CEP 58.051-970, João Pessoa (Pb), Brazil

    C. Romero & F. Dahia

Authors
  1. C. Romero
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Dahia
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Romero, C., Dahia, F. Theories of gravity in 2 + 1 dimensions. Int J Theor Phys 33, 2091–2098 (1994). https://doi.org/10.1007/BF00675174

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00675174

Keywords

Search

Navigation