Interacting spin-2 fields

Journal of High Energy Physics

Volumn 2012, Issue 7, 2012, Pages

  Hinterbichler, Kurt ^a   Rosen, Rachel A ^b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b Department of Earth and Environmental Sciences   (United States)

Author keywords

Classical theories of gravity; Differential and algebraic geometry

Indexed keywords

EID: 84864485046     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2012)047     Document Type: Article

References (38)

1. D. Boulware and S. Deser, Can gravitation have a finite range?, Phys. Rev. D 6 (1972) 3368.
2. C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli action, Phys. Rev. D 82 (2010) 044020 [arXiv:1007.0443].
3. C. de Rham, G. Gabadadze and A. J. Tolley, Resummation of massive gravity, Phys. Rev. Lett. 106 (2011) 231101 [arXiv:1011.1232].
4. N. Arkani-Hamed, H. Georgi and M. D. Schwartz, Effective field theory for massive gravitons and gravity in theory space, Annals Phys. 305 (2003) 96 [hep-th/0210184].
5. P. Creminelli, A. Nicolis, M. Papucci and E. Trincherini, Ghosts in massive gravity, JHEP 09 (2005) 003 [hep-th/0505147].
6. K. Hinterbichler, Theoretical aspects of massive gravity, Rev. Mod. Phys. 84 (2012) 671 [arXiv:1105.3735].
7. S. Hassan and R. A. Rosen, On non-linear actions for massive gravity, JHEP 07 (2011) 009 [arXiv:1103.6055].
8. S. Hassan and R. A. Rosen, Resolving the ghost problem in non-linear massive gravity, Phys. Rev. Lett. 108 (2012) 041101 [arXiv:1106.3344].
9. C. de Rham, G. Gabadadze and A. Tolley, Ghost free massive gravity in the Stückelberg language, Phys. Lett. B 711 (2012) 190 [arXiv:1107.3820].
10. C. de Rham, G. Gabadadze and A. J. Tolley, Helicity decomposition of ghost-free massive gravity, JHEP 11 (2011) 093 [arXiv:1108.4521].
11. S. Hassan and R. A. Rosen, Confirmation of the secondary constraint and absence of ghost in massive gravity and bimetric gravity, JHEP 04 (2012) 123 [arXiv:1111.2070].
12. M. Mirbabayi, A proof of ghost freedom in de Rham-Gabadadze-Tolley massive gravity, arXiv:1112.1435.
13. A. Golovnev, On the Hamiltonian analysis of non-linear massive gravity, Phys. Lett. B 707 (2012) 404 [arXiv:1112.2134].
14. S. Hassan, A. Schmidt-May and M. von Strauss, Proof of consistency of nonlinear massive gravity in the Stückelberg formulation, arXiv:1203.5283.
15. J. Kluson, Non-linear massive gravity with additional primary constraint and absence of ghosts, arXiv:1204.2957.
16. R. L. Arnowitt, S. Deser and C. W. Misner, Canonical variables for general relativity, Phys. Rev. 117 (1960) 1595.
17. S. Hassan, R. A. Rosen and A. Schmidt-May, Ghost-free massive gravity with a general reference metric, JHEP 02 (2012) 026 [arXiv:1109.3230].
18. S. Hassan and R. A. Rosen, Bimetric gravity from ghost-free massive gravity, JHEP 02 (2012) 126 [arXiv:1109.3515].
19. N. Arkani-Hamed and M. D. Schwartz, Discrete gravitational dimensions, Phys. Rev. D 69 (2004) 104001 [hep-th/0302110].
20. N. Boulanger, T. Damour, L. Gualtieri and M. Henneaux, Inconsistency of interacting, multigraviton theories, Nucl. Phys. B 597 (2001) 127 [hep-th/0007220].
21. S. Nibbelink Groot, M. Peloso and M. Sexton, Nonlinear properties of vielbein massive gravity, Eur. Phys. J. C 51 (2007) 741 [hep-th/0610169].
22. A. H. Chamseddine and V. Mukhanov, Massive gravity simplified: a quadratic action, JHEP 08 (2011) 091 [arXiv:1106.5868].
23. A. H. Chamseddine and M. S. Volkov, Cosmological solutions with massive gravitons, Phys. Lett. B 704 (2011) 652 [arXiv:1107.5504].
24. A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014 [hep-th/0602178].
25. A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity, Phys. Rev. D 79 (2009) 064036 [arXiv:0811.2197].
26. G. L. Goon, K. Hinterbichler and M. Trodden, Stability and superluminality of spherical DBI galileon solutions, Phys. Rev. D 83 (2011) 085015 [arXiv:1008.4580].
27. A. Padilla, P. M. Saffin and S.-Y. Zhou, Bi-galileon theory I: motivation and formulation, JHEP 12 (2010) 031 [arXiv:1007.5424].
28. K. Hinterbichler, M. Trodden and D. Wesley, Multi-field galileons and higher co-dimension branes, Phys. Rev. D 82 (2010) 124018 [arXiv:1008.1305].
29. A. Padilla, P. M. Saffin and S.-Y. Zhou, Bi-galileon theory II: phenomenology, JHEP 01 (2011) 099 [arXiv:1008.3312].
30. M. D. Schwartz, Constructing gravitational dimensions, Phys. Rev. D 68 (2003) 024029 [hep-th/0303114].
31. T. Hanada, K. Kobayashi, K. Shinoda and K. Shiraishi, Classical and quantum cosmology of multigravity, Class. Quant. Grav. 27 (2010) 225010 [arXiv:1004.5435].
32. S. Weinberg, The Quantum Theory of Fields. Volume 1: foundations, Cambridge University Press, Cambridge U. K. (1996).
33. M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field, Proc. Roy. Soc. Lond. A 173 (1939) 211.
34. N. Khosravi, N. Rahmanpour, H. R. Sepangi and S. Shahidi, Multi-metric gravity via massive gravity, Phys. Rev. D 85 (2012) 024049 [arXiv:1111.5346].
35. M. F. Paulos and A. J. Tolley, Massive gravity theories and limits of ghost-free bigravity models, arXiv:1203.4268.
36. D. Lovelock, The Einstein tensor and its generalizations, J. Math. Phys. 12 (1971) 498.
37. D. Lovelock, The four-dimensionality of space and the Einstein tensor, J. Math. Phys. 13 (1972) 874.
38. P. Peldan, Actions for gravity, with generalizations: a review, Class. Quant. Grav. 11 (1994) 1087 [gr-qc/9305011].