An analysis of characteristics in nonlinear massive gravity

Classical and Quantum Gravity

Volumn 30, Issue 18, 2013, Pages

  Izumi, Keisuke ^a   Ong, Yen Chin ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84884360442     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/30/18/184008     Document Type: Article

References (44)

1. Hinterbichler K 2012 Theoretical aspects of massive gravity Rev. Mod. Phys. 84 671 (arXiv:1105.3735v2 [hep-th])
2. Fierz M and Pauli W 1939 On relativistic wave equations for particles of arbitrary spin in an electromagnetic field Proc. R. Soc. Lond. A 173 211
3. Van Nieuwenhuizen P 1973 On ghost-free tensor Lagrangians and linearized gravitation Nucl. Phys. B 60 478
4. van Dam H and Veltman M J G 1970 Massive and massless Yang-Mills and gravitational field Nucl. Phys. B 22 397
5. Zakharov V I 1970 Linearized gravitation theory and the graviton mass JETP Lett. 12 312
6. Vainshtein A I 1972 To the problem of nonvanishing graviton mass Phys. Lett. B 39 393
7. Babichev E, Deffayet C and Ziour R 2010 The recovery of general relativity in massive gravity via the Vainshtein mechanism Phys. Rev. D 82 104008 (arXiv:1007.4506v1[gr-qc])
8. Boulware D and Deser S 1972 Can gravitation have a finite range? Phys. Rev. D 6 3368
9. Chen P 2010 Gauge theory of gravity with de Sitter symmetry as a solution to the cosmological constant problem and the dark enegry puzzle Mod. Phys. Lett. A 25 2795 (arXiv:1002.4275v2 [gr-qc])
10. de Rham C and Gabadadze G 2010 Generalization of the Fierz-Pauli action Phys. Rev. D 82 044020 (arXiv:1007.0443v2 [hep-th])
11. de Rham C, Gabadadze G and Tolley A J 2011 Resummation of massive gravity Phys. Rev. Lett. 106 231101 (arXiv:1011.1232v2 [hep-th])
12. de Rham C, Gabadadze G and Tolley A J 2012 Ghost free massive gravity in the Stúckelberg language Phys. Lett. B 711 190 (arXiv:1107.3820v1 [hep-th])
13. de Rham C, Gabadadze G and Tolley A J 2011 Helicity decomposition of Ghost-free massive gravity J. High Energy Phys. JHEP11(2011)093 (arXiv:1108.4521v2 [hep-th])
14. Hassan S F and Rosen R A 2012 Resolving the ghost problem in non-linear massive gravity Phys. Rev. Lett. 108 041101 (arXiv:1106.3344v3 [hep-th])
15. Hassan S F, Rosen R A and Schmidt-May A 2012 Ghost-free massive gravity with a general reference metric J. High Energy Phys. JHEP02(2012)026 (arXiv:1109.3230v2 [hep-th])
16. Hassan S F and Rosen R A 2012 Confirmation of the secondary constraint and absence of ghost in massive gravity and bimetric gravity J. High Energy Phys. JHEP04(2012)123 (arXiv:1111.2070v1 [hep-th])
17. Hassan S, Schmidt-May A and von Strauss M 2012 Proof of consistency of nonlinear massive gravity in the Stúckelberg formulation Phys. Lett. B 715 335 (arXiv:1203.5283v2 [hep-th])
18. Deser S and Waldron A 2013 Acausality of massive gravity Phys. Rev. Lett. 110 111101 (arXiv:1212.5835v3 [hep-th])
19. Zumino B 1970 Effective Lagrangians and Broken Symmetries (Brandeis University Lectures on Elementary Particles and Quantum Field Theory vol 2) ed S Deser, M Grisaru and H Pendleton (Cambridge, MA: MIT Press) p 437
20. Deser S, Sandora M and Waldron A 2013 Nonlinear partially massless from massive gravity? Phys. Rev. D 87 101501 (arXiv:1301.5621 [hep-th])
21. D'Amico G, de Rham C, Dubovsky S, Gabadadze G, Pirtskhalava D and Tolley A J 2011 Massive cosmologies Phys. Rev. D 84 124046 (arXiv:1108.5231v1 [hep-th])
22. Gumrukcuoglu A E, Lin C and Mukohyama S 2012 Cosmological perturbations of self-accelerating universe in nonlinear massive gravity J. Cosmol. Astropart. Phys. JCAP03(2012)006 (arXiv:1111.4107v2 [hep-th])
23. Chamseddine A H and Mukhanov V 2011 Massive gravity simplified: a quadratic action J. High Energy Phys. JHEP08(2011)091 (arXiv:1106.5868 [hep-th])
24. Chamseddine A H and Volkov M S 2011 Cosmological solutions with massive gravitons Phys. Lett. B 704 652 (arXiv:1107.5504 [hep-th])
25. Hinterbichler K and Rosen R A 2012 Interacting spin-2 fields J. High Energy Phys. JHEP07(2012)047 (arXiv:1203.5783 [hep-th])
26. Hassan S F, Schmidt-May A and von Strauss M 2012 Metric formulation of ghost-free multivielbein theory arXiv:1204.5202 [hep-th]
27. Nomura K and Soda J 2012 When is multimetric gravity ghost-free? Phys. Rev. D 86 084052 (arXiv:1207.3637 [hep-th])
28. Hehl F W, von der Heyde P, Kerlick G D and Nester J M 1976 General relativity with spin and torsion: foundations and prospects Rev. Mod. Phys. 48 393
29. Hassan S F and Rosen R A 2011 On non-linear actions for massive gravity J. High Energy Phys. JHEP07(2011)009 (arXiv:1103.6055v3 [hep-th])
30. Deffayet C, Mourad J and Zahariade G 2013 Covariant constraints in ghost free massive gravity J. Cosmol. Astropart. Phys. JCAP01(2013)031 (arXiv:1207.6338 [hep-th])
31. Cauchy A 1842 Compt. Rend. 15 (reprinted in Oeuvres Completes, serie 1, VII, pp 17-58)
32. Kowalevskaya S 1875 Zur Theorie der partiellen Differentialgleichung J. Reine Angew. Math. 80 1
33. Gumrukcuoglu A E, Lin C S and Mukohyama S 2012 Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity Phys. Lett. B 717 295 (arXiv:1206.2723v2 [hep-th])
34. Bruneton J-P 2007 On causality and superluminal behavior in classical field theories: applications to k-essence theories and MOND-like theories of gravity Phys. Rev. D 75 085013 (arXiv:gr-qc/0607055v2)
35. Afshordi N, Chung D J H and Geshnizjani G 2007 Cuscuton: a causal field theory with an infinite speed of sound Phys. Rev. D 75 083513 (arXiv:hep-th/0609150v2)
36. Geroch R 2010 Faster than light? arXiv:1005.1614v1 [gr-qc]
37. Berezhiani L, Chkareuli G and Gabadadze G 2013 Restricted Galileons arXiv:1302.0549v2 [hep-th]
38. Burrage C, de Rham C, Heisenberg L and Tolley A J 2012 Chronology protection in Galileon models and massive gravity J. Cosmol. Astropart. Phys. JCAP07(2012)004 (arXiv:1111.5549v1 [hep-th])
39. Chiang C-I, Izumi K and Chen P 2012 Spherically symmetric analysis on open FLRW solution in nonlinear massive gravity J. Cosmol. Astropart. Phys. JCAP12(2012)025 (arXiv:1208.1222v2 [hep-th])
40. Ong Y C, Izumi K, Nester J M and Chen P 2013 Problems with propagation and time evolution in f(T) gravity arXiv:1303.0993v1 [gr-qc]
41. Chen H, Nester J M and Yo H-J 1998 Acausal PGT modes and the nonlinear constraint effect Acta. Phys. Pol. B 29 961
42. De Felice A, Gumrukcuoglu A E and Mukohyama S 2012 Massive gravity: nonlinear instability of the homogeneous and isotropic universe Phys. Rev. Lett. 109 171101 (arXiv:1206.2080v2 [hep-th])
43. Courant R and Hilbert D 1962 Methods of Mathematical Physics vol 2 (New York: Wiley-Interscience) p 590
44. Courant R and Hilbert D 1962 Methods of Mathematical Physics vol 2 (New York: Wiley-Interscience) p 596