- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Numerical boson stars with a single Killing vector. I. The D≥5 case

Sean Stotyn1,*, C. Danielle Leonard2,†, Marius Oltean3,‡, Laura J. Henderson4,§, and Robert B. Mann4,∥

  • 1Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
  • 2Department of Physics, University of Oxford, Oxford OX1 3RH, United Kingdom
  • 3Department of Physics, McGill University, Montreal, Quebec H3A 2T8, Canada
  • 4Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

  • *sstotyn@phas.ubc.ca
  • †danielle.leonard@astro.ox.ac.uk
  • ‡moltean@physics.mcgill.ca
  • §l7hender@uwaterloo.ca
  • ∥rbmann@sciborg.uwaterloo.ca
PDF

Phys. Rev. D 89, 044017 – Published 14 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.044017

Abstract

We numerically construct asymptotically anti–de Sitter boson star solutions using a minimally coupled D−12-tuplet complex scalar field in D=5, 7, 9, 11 dimensions. The metric admits multiple Killing vector fields in general, however the scalar fields are only invariant under a particular combination, leading to such boson star solutions possessing just a single helical Killing symmetry. These boson stars form a one parameter family of solutions, which can be parametrized by the energy density at their center. As the central energy density tends to infinity, the angular velocity, mass, and angular momentum of the boson star exhibit damped harmonic oscillations about finite central values, while the Kretschmann invariant diverges, signaling the formation of a black hole in this limit.

View figure in article

See Also

Numerical boson stars with a single Killing vector. II. The D=3 case

Sean Stotyn, Melanie Chanona, and Robert B. Mann
Phys. Rev. D 89, 044018 (2014)

Article Text

References (34)

  1. D. J. Kaup, Phys. Rev. 172, 1331 (1968).
  2. R. Ruffini and S. Bonazzola, Phys. Rev. 187, 1767 (1969).
  3. P. Jetzer, Phys. Rep. 220, 163 (1992).
  4. A. Bernal, J. Barranco, D. Alic, and C. Palenzuela, Phys. Rev. D 81, 044031 (2010).
  5. E. Berti and V. Cardoso, Int. J. Mod. Phys. D 15, 2209 (2006).
  6. M. Kesden, J. Gair, and M. Kamionkowski, Phys. Rev. D 71, 044015 (2005).
  7. S. L. Liebling and C. Palenzuela, Living Rev. Relativity 15, 6 (2012).
  8. Y. Brihaye, B. Hartmann, and S. Tojiev, Classical Quantum Gravity 30, 115009 (2013).
  9. D. Astefanesei and E. Radu, Nucl. Phys. B665, 594 (2003).
  10. O. J. C. Dias, G. T. Horowitz, and J. E. Santos, J. High Energy Phys. 07 (2011) 115.
  11. S. Stotyn, M. Park, P. McGrath, and R. B. Mann, Phys. Rev. D 85, 044036 (2012).
  12. M. Colpi, S. L. Shapiro, and I. Wasserman, Phys. Rev. Lett. 57, 2485 (1986).
  13. J.-w. Ho, F. C. Khanna, and C. H. Lee, arXiv:gr-qc/0207073.
  14. O. J. C. Dias, P. Figueras, S. Minwalla, P. Mitra, R. Monteiro, and J. E. Santos, J. High Energy Phys. 08 (2012) 117.
  15. Y. Brihaye, B. Hartmann, and E. Radu, Phys. Lett. B 607, 17 (2005).
  16. R.-G. Cai and J.-Y. Ji, Phys. Rev. D 58, 024002 (1998).
  17. G. Fodor, P. Forgacs, and M. Mezei, Phys. Rev. D 82, 044043 (2010).
  18. B. Hartmann and J. Riedel, Phys. Rev. D 87, 044003 (2013).
  19. J. Bjoraker and Y. Hosotani, Phys. Rev. Lett. 84, 1853 (2000).
  20. O. J. C. Dias, G. T. Horowitz, and J. E. Santos, Classical Quantum Gravity 29, 194002 (2012).
  21. P. Bizon and A. Rostworowski, Phys. Rev. Lett. 107, 031102 (2011).
  22. J. Jalmuzna, A. Rostworowski, and P. Bizon, Phys. Rev. D 84, 085021 (2011).
  23. M. Maliborski and A. Rostworowski, Phys. Rev. Lett. 111, 051102 (2013).
  24. A. Buchel, S. L. Liebling, and L. Lehner, Phys. Rev. D 87, 123006 (2013).
  25. O. J. C. Dias, G. T. Horowitz, D. Marolf, and J. E. Santos, Classical Quantum Gravity 29, 235019 (2012).
  26. V. Moncrief and J. Isenberg, Classical Quantum Gravity 25, 195015 (2008).
  27. S. Hollands, A. Ishibashi, and R. M. Wald, Commun. Math. Phys. 271, 699 (2007).
  28. S. W. Hawking, Commun. Math. Phys. 25, 152 (1972).
  29. B. Hartmann, B. Kleihaus, J. Kunz, and M. List, Phys. Rev. D 82, 084022 (2010).
  30. S. Stotyn and R. B. Mann, J. Phys. A 45, 374025 (2012).
  31. S. Stotyn, M. Chanona, and R. B. Mann, following article, Phys. Rev. D 89, 044018 (2014).
  32. A. Ashtekar and S. Das, Classical Quantum Gravity 17, L17 (2000).
  33. S. Das and R. B. Mann, J. High Energy Phys. 08 (2000) 033.
  34. H. P. Pfeiffer, arXiv:gr-qc/0510016.

Outline

Information

Phys. Rev. D 89, 044017– Published 14 February, 2014
  • Received 25 September 2013

© 2014 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation