Skip to main content
SpringerLink
Log in

Schwarzschild-anti de Sitter black hole with quintessence

  • Original Article
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

In this paper, by using the effective potential for the photons, we analysis the null geodesics and all kinds of orbits corresponding to the energy levels for the Schwarzschild-anti de Sitter black hole surrounded by quintessence with \(\omega_{q}= -\frac{2}{3}\) and compare our results with those obtained for the Schwarzschild black hole surrounded by quintessence matter. We also investigate the circular orbits and calculate the angle of deflection of the photons.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Amore, P., Arceo, S., Fernandez, F.M.: Analytical formulas for gravitational lensing: higher order calculation. Phys. Rev. D 74, 083004 (2006)

    Article  ADS  Google Scholar 

  • Armendariz-Picon, C., Mukhanov, V., Steinhardt, P.J.: Dynamical solution to the problem of a small cosmological constant and late-time cosmic acceleration. Phys. Rev. Lett. 85, 4438 (2000)

    Article  ADS  Google Scholar 

  • Caldwell, R.R.: A phantom menace cosmological consequences of a dark energy component with super-negative equation of state. Phys. Lett. B 545, 23 (2002)

    Article  ADS  Google Scholar 

  • Cardoso, V., Miranda, A.S., Berti, E., Witeck, H., Zanchin, V.T.: Geodesics stability, Lyapunov exponents and quasinormal modes. Phys. Rev. D 79, 064016 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  • Carroll, S.M.: Quintessence and the rest of the world: suppressing long-range interactions. Phys. Rev. Lett. 81, 3067 (1998)

    Article  ADS  Google Scholar 

  • Copeland, E.J., Sami, M., Tsujikawa, S.: Dynamics of dark energy. Int. J. Mod. Phys. D 15, 1753 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Fernando, S.: Schwarzschild black hole surrounded by quintessence: null geodesics. Gen. Relativ. Gravit. 44, 1857 (2012)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Gasperini, M., Piassa, M., Veneziano, G.: Quintessence as a runaway dilaton. Phys. Rev. D 65, 023508 (2002)

    Article  ADS  Google Scholar 

  • Khoury, J., Weltman, A.: Chameleon fields: awaiting surprises for tests of gravity in space. Phys. Rev. Lett. 93, 171104 (2004)

    Article  ADS  Google Scholar 

  • Kiselev, V.V.: Quintessence and black holes. Class. Quantum Gravity 20, 1187 (2003)

    Article  MATH  ADS  Google Scholar 

  • Padmanabhan, T.: Accelerated expansion of the universe driven by tachyonic matter. Phys. Rev. D 66, 021301 (2002)

    Article  ADS  Google Scholar 

  • Padmanabhan, T.: Cosmological constant-the weight of the vacuum. Phys. Rep. 380, 235 (2003)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Perlmutter, S., et al.: Measurements of Ω and Λ from 42 high-redshift supernovae. Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  • Riess, A.G., et al.: Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  • Riess, A.G., et al.: BVRI light curves for 22 type Ia supernovae. Astron. J. 117, 707 (1999)

    Article  ADS  Google Scholar 

  • Seljak, U., et al.: Cosmological parameter analysis including SDSS Lyα forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy. Phys. Rev. D 71, 103515 (2005)

    Article  ADS  Google Scholar 

  • Spergel, D.N., et al.: Wilkinson microwave anisotropy probe (WMAP) three year results: implications for cosmology. Astrophys. J. Suppl. Ser. 170, 377 (2007)

    Article  ADS  Google Scholar 

  • Tegmark, M., et al.: Cosmological parameters from SDSS and WMAP. Phys. Rev. D 69, 103501 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Kurdistan, Pasdaran St., Sanandaj, Iran

    B. Malakolkalami & K. Ghaderi

Authors
  1. B. Malakolkalami
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Ghaderi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Malakolkalami.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Malakolkalami, B., Ghaderi, K. Schwarzschild-anti de Sitter black hole with quintessence. Astrophys Space Sci 357, 112 (2015). https://doi.org/10.1007/s10509-015-2340-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10509-015-2340-5

Keywords

Search

Navigation