Skip to main content
SpringerLink
Log in

Geodesics for particles with negative energy in Kerr’s metric

  • Published:
Gravitation and Cosmology Aims and scope Submit manuscript

Abstract

According to Penrose’s effect, particles with negative energy can exist in the ergospheres of rotating black holes. We analyze geodesics for such particles and show that there are no circular and elliptic orbits in the ergosphere of a rotating black hole. We also show that there are geodesics which begin and terminate at the singularity and present the conditions under which such geodesics do not begin and terminate at the singularity.

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

  1. S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon Press, Oxford University Press, New York, Oxford, 1983).

    MATH  Google Scholar 

  2. G. Contopoulos, Gen. Rel. Grav. 16, 43 (1984).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. A. A. Grib and Yu. V. Pavlov, arXiv: 1401.0368.

  4. S. L. Shapiro and S. A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars (Cornell University, Ithaca, New York, 1985).

    Google Scholar 

  5. A. A. Grib, Yu. V. Pavlov, and V. D. Vertogradov, Mod. Phys. Lett. A 29(20), 14501 (2014).

    Article  MathSciNet  Google Scholar 

  6. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, 1973).

    Book  MATH  Google Scholar 

  7. Pankaj S. Joshi, Gravitational Collapse and Spacetime Singularities (Cambridge University Press, 2007).

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Herzen Russian State Pedagogical University, nab. Moiki 48, St. Petersburg, 191186, Russia

    V. D. Vertogradov

Authors
  1. V. D. Vertogradov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. D. Vertogradov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vertogradov, V.D. Geodesics for particles with negative energy in Kerr’s metric. Gravit. Cosmol. 21, 171–174 (2015). https://doi.org/10.1134/S0202289315020115

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0202289315020115

Keywords

Search

Navigation