Table of Contents
Journal of Gravity
Volume 2014 (2014), Article ID 413835, 7 pages
http://dx.doi.org/10.1155/2014/413835
Research Article

Consistent Extension of Quasidilaton Massive Gravity

Department of Theoretical Physics and Astrophysics, Faculty of Science, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic

Received 22 May 2014; Accepted 4 July 2014; Published 20 July 2014

Academic Editor: Sergey D. Odintsov

Copyright © 2014 Josef Klusoň. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. C. de Rham and G. Gabadadze, “Generalization of the Fierz-Pauli action,” Physical Review D, vol. 82, Article ID 044020, 2010. View at Publisher · View at Google Scholar
  2. C. de Rham, G. Gabadadze, and A. J. Tolley, “Resummation of massive gravity,” Physical Review Letters, vol. 106, Article ID 231101, 2011. View at Google Scholar
  3. D. G. Boulware and S. Deser, “Can gravitation have a finite range?” Physical Review D, vol. 6, no. 12, pp. 3368–3382, 1972. View at Publisher · View at Google Scholar · View at Scopus
  4. D. G. Boulware and S. Desser, “Inconsistency of finite range gravitation,” Physics Letters B, vol. 40, no. 2, pp. 227–229, 1972. View at Google Scholar · View at Scopus
  5. A. de Felice, A. E. Gümrükçüoğlu, and S. Mukohyama, “Massive gravity: non-linear instability of the homogeneous and isotropic universe,” Physical Review Letters, vol. 109, Article ID 171101, 2012. View at Publisher · View at Google Scholar
  6. K. Koyama, G. Niz, and G. Tasinato, “The self-accelerating universe with vectors in massive gravity,” Journal of High Energy Physics, vol. 2011, no. 12, article 65, 2011. View at Publisher · View at Google Scholar · View at Scopus
  7. G. Tasinato, K. Koyama, and G. Niz, “Vector inst abilities and self-acceleration in the decoupling limit of massive gravity,” Physical Review D, vol. 87, Article ID 064029, 2013. View at Publisher · View at Google Scholar
  8. N. Khosravi, G. Niz, K. Koyama, and G. Tasinato, “Stability of the self-accelerating universe in massive gravity,” Journal of Cosmology and Astroparticle Physics, vol. 2013, no. 8, p. 44, 2013. View at Publisher · View at Google Scholar
  9. G. D’Amico, C. de Rham, S. Dubovsky, G. Gabadadze, D. Pirtskhalava, and A. J. Tolley, “Massive cosmologies,” Physical Review D, vol. 84, Article ID 124046, 2011. View at Publisher · View at Google Scholar
  10. A. E. Gümrükçüoǧlu, C. Lin, and S. Mukohyama, “Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity,” Physics Letters B, vol. 717, no. 4-5, pp. 295–298, 2012. View at Publisher · View at Google Scholar · View at Scopus
  11. A. de Felice, A. E. Gümrükçüoğlu, C. Lin, and S. Mukohyama, “Nonlinear stability of cosmological solutions in massive gravity,” Journal of Cosmology and Astroparticle Physics, vol. 1305, no. 5, article 035, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  12. G. D'Amico, G. Gabadadze, L. Hui, and D. Pirtskhalava, “Quasi-dilaton: theory and cosmology,” Physical Review D, vol. 87, Article ID 064037, 2013. View at Publisher · View at Google Scholar
  13. Q.-G. Huang, Y.-S. Piao, and S.-Y. Zhou, “Mass-varying massive gravity,” Physical Review D, vol. 86, Article ID 124014, 2012. View at Publisher · View at Google Scholar
  14. A. de Felice and S. Mukohyama, “Towards consistent extension of quasidilaton massive gravity,” Physics Letters B, vol. 728, pp. 622–625, 2014. View at Publisher · View at Google Scholar
  15. G. Gabadadze, K. Hinterbichler, J. Khoury, D. Pirtskhalava, and M. Trodden, “Covariant master theory for novel Galilean invariant models and massive gravity,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 86, no. 12, Article ID 124004, 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. J. Kluson, “Note about Hamiltonian formalism for general nonlinear massive gravity action in Stuckelberg formalism,” International Journal of Modern Physics A: Particles and Fields. Gravitation. Cosmology, vol. 28, Article ID 1350160, 16 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  17. J. Klusoň, “Non-linear massive gravity with additional primary constraint and absence of ghosts,” Physical Review D, vol. 86, Article ID 044024, 2012. View at Publisher · View at Google Scholar
  18. S. F. Hassan, A. Schmidt-May, and M. von Strauss, “Proof of consistency of nonlinear massive gravity in the Stückelberg formulation,” Physics Letters B, vol. 715, pp. 355–339, 2012. View at Publisher · View at Google Scholar
  19. J. Kluson, “Hamiltonian analysis of minimal massive gravity coupled to Galileon tadpole term,” Journal of High Energy Physics, vol. 2013, article 80, 2013. View at Publisher · View at Google Scholar
  20. Q. G. Huang, K. C. Zhang, and S. Y. Zhou, “Generalized massive gravity in arbitrary dimensions and its Hamiltonian formulation,” Journal of Cosmology and Astroparticle Physics, vol. 1308, article 050, 2013. View at Google Scholar · View at MathSciNet
  21. M. Andrews, G. Goon, K. Hinterbichler, J. Stokes, and M. Trodden, “Massive gravity coupled to Galileons is ghost-free,” Physical Review Letters, vol. 111, no. 6, Article ID 061107, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. S. Mukohyama, “Extended quasidilaton massive gravity is ghost free,” http://arxiv.org/abs/1309.2146.
  23. S. F. Hassan and R. A. Rosen, “On non-linear actions for massive gravity,” Journal of High Energy Physics, vol. 2011, article 9, 2011. View at Publisher · View at Google Scholar
  24. S. F. Hassan and R. A. Rosen, “Resolving the ghost problem in non-linear massive gravity,” Physical Review Letters, vol. 108, Article ID 041101, 2012. View at Publisher · View at Google Scholar
  25. E. Gourgoulhon, “3 + 1 formalism and bases of numerical relativity,” http://arxiv.org/abs/gr-qc/0703035.
  26. R. L. Arnowitt, S. Deser, and C. W. Misner, “The dynamics of general relativity,” http://arxiv.org/abs/grqc/0405109.