Skip to main content
SpringerLink
Log in

Selection criteria for two-parameter solutions to scalar-tensor gravity

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

Abstract

We investigate the generic properties of static, spherically symmetric, asymptotically flat solutions to the field equations describing gravity minimally coupled to a nonlinear self-gravitating real scalar field. Five corollaries and a theorem on selection criteria for two- and one-parametric solutions are proven and conditions for obtaining particle-like solutions, black holes or naked singularities are derived. A series of exact solutions in closed forms including different black holes, naked singularities and particle-like solutions, all of which obey the weak energy condition at spatial infinity, are provided. Two further corollaries elaborate on the behavior of solutions at spatial infinity, critical mass, mass density, pressure and energy conditions.

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. Matos, T., Guzmán, S., Ureña-López, L.A., Núñez, D.: Scalar field dark matter (2001). arXiv:astro-ph/0102419

  2. Bronnikov K.A., Chernakova M.S.: Charged black holes and unusual wormholes in scalar-tensor gravity. Grav. Cosmol. 13, 51–55 (2007) arXiv:gr-qc/0703107

    MATH  MathSciNet  ADS  Google Scholar 

  3. Bronnikov K.A., Fabris J.C.: Regular phantom black holes. Phys. Rev. Lett. 96, 251101 (2006) arXiv:gr-qc/0511109

    Article  MathSciNet  ADS  Google Scholar 

  4. Nikonov V.V., Tchemarina J.V., Tsirulev A.N.: A two-parameter family of exact asymptotically flat solutions to the Einstein-scalar field equations. Class. Quantum Grav. 25, 138001 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  5. Bronnikov K.A.: Spherically symmetric false vacuum: no-go theorems and global structure. Phys. Rev. D 64, 064013 (2001) arXiv:gr-qc/0104092

    Article  MathSciNet  ADS  Google Scholar 

  6. Bronnikov K.A., Shikin G.N.: Spherically symmetric scalar vacuum: no-go theorems, black holes and solitons. Grav. Cosmol. 8, 107–116 (2002) arXiv:gr-qc/0109027

    MATH  MathSciNet  ADS  Google Scholar 

  7. Bechmann O., Lechtenfeld O.: Exact black-hole solution with self-interacting scalar field. Class. Quantum Grav. 12, 1473–1482 (1995) arXiv:gr-qc/9502011

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Chan K.C.K., Horne J.H., Mann R.B.: Charged dilaton black holes with unusual asymptotics. Nucl. Phys. B 447, 441–461 (1995) arXiv:gr-qc/9502042

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. Bekenstein, J.D.: Black holes: classical properties, thermodynamics, and heuristic quantization (1998). arXiv:gr-qc/9808028

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Başkent University, Bağlıca Campus, Ankara, Turkey

    Mustapha Azreg-Aïnou

Authors
  1. Mustapha Azreg-Aïnou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mustapha Azreg-Aïnou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Azreg-Aïnou, M. Selection criteria for two-parameter solutions to scalar-tensor gravity. Gen Relativ Gravit 42, 1427–1456 (2010). https://doi.org/10.1007/s10714-009-0915-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-009-0915-6

Keywords

Search

Navigation