Phantom crossing and quintessence limit in extended nonlinear massive gravity

Classical and Quantum Gravity

Volumn 30, Issue 7, 2013, Pages

  Saridakis, Emmanuel N ^a,b,c  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b BAYLOR UNIVERSITY   (United States)

^c INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84875254784     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/30/7/075003     Document Type: Article

References (67)

1. 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
2. Vainshtein A I 1972 To the problem of nonvanishing gravitation mass Phys. Lett. B 39 393
3. van Dam H and Veltman M J G 1970 Massive and massless Yang-Mills and gravitational fields Nucl. Phys. B 22 397
4. Zakharov V I 1970 Linearized gravitation theory and the graviton mass JETP Lett. 12 312
5. Boulware D G and Deser S 1972 Can gravitation have a finite range? Phys. Rev. D 6 3368
6. de Rham C and Gabadadze G 2010 Generalization of the Fierz-Pauli action Phys. Rev. D 82 044020 (arXiv:1007.0443)
7. de Rham C, Gabadadze G and Tolley A J 2011 Resummation of massive gravity Phys. Rev. Lett. 106 231101 (arXiv:1011.1232)
8. Hinterbichler K 2012 Theoretical aspects of massive gravity Rev. Mod. Phys. 84 671 (arXiv:1105.3735)
9. Koyama K, Niz G and Tasinato G 2011 Strong interactions and exact solutions in non-linear massive gravity Phys. Rev. D 84 064033 (arXiv:1104.2143)
10. Hassan S F and Rosen R A 2012 Resolving the ghost problem in non-linear massive gravity Phys. Rev. Lett. 108 041101 (arXiv:1106.3344)
11. de Rham C, Gabadadze G and Tolley A 2012 Ghost free massive gravity in the Stúckelberg language Phys. Lett. B 711 190 (arXiv:1107.3820)
12. Cuadros-Melgar B, Papantonopoulos E, Tsoukalas M and Zamarias V 2011 Massive gravity with anisotropic scaling arXiv:1108.3771
13. D'Amico G, de Rham C, Dubovsky S, Gabadadze G, Pirtskhalava D and Tolley A J 2011 Massive cosmologies arXiv:1108.5231
14. Hassan S F and Rosen R A 2012 Bimetric gravity from ghost-free massive gravity J. High Energy Phys. JHEP02(2012)126 (arXiv:1109.3515)
15. Kluson J 2012 Note about Hamiltonian structure of non-linear massive gravity J. High Energy Phys. JHEP01(2012)013 (arXiv:1109.3052)
16. Gumrukcuoglu A E, Lin C and Mukohyama S 2011 Open FRW universes and self-acceleration from nonlinear massive gravity J. Cosmol. Astropart. Phys. JCAP11(2011)030 (arXiv:1109.3845)
17. Volkov M S 2012 Cosmological solutions with massive gravitons in the bigravity theory J. High Energy Phys. JHEP01(2012)035 (arXiv:1110.6153)
18. von Strauss M, Schmidt-May A, Enander J, Mortsell E and Hassan S F 2012 Cosmological solutions in bimetric gravity and their observational tests J. Cosmol. Astropart. Phys. JCAP03(2012)042 (arXiv:1111.1655)
19. Comelli D, Crisostomi M, Nesti F and Pilo L 2012 FRW cosmology in ghost free massive gravity J. High Energy Phys. JHEP03(2012)067
20. Comelli D, Crisostomi M, Nesti F and Pilo L 2012 FRW Cosmology in ghost free massive gravity J. High Energy Phys. JHEP06(2012)020 (arXiv:1111.1983) (erratum)
21. 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:1111.2070)
22. Berezhiani L, Chkareuli G, de Rham C, Gabadadze G and Tolley A J 2012 On black holes in massive gravity Phys. Rev. D 85 044024 (arXiv:1111.3613)
23. 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:1111.4107)
24. Khosravi N, Rahmanpour N, Sepangi H R and Shahidi S 2012 Multi-metric gravity via massive gravity Phys. Rev. D 85 024049 (arXiv:1111.5346)
25. Brihaye Y and Verbin Y 2011 Perfect fluid spherically-symmetric solutions in massive gravity arXiv:1112.1901
26. Buchbinder I L, Pereira D D and Shapiro I L 2012 One-loop divergences in massive gravity theory Phys. Lett. B 712 104 (arXiv:1201.3145)
27. Ahmedov H and Aliev A N 2012 Type N spacetimes as solutions of extended new massive gravity Phys. Lett. B 711 117 (arXiv:1201.5724)
28. Bergshoeff E A, Fernandez-Melgarejo J J, Rosseel J and Townsend P K 2012 On 'new massive' 4D gravity J. High Energy Phys. JHEP04(2012)070 (arXiv:1202.1501)
29. Crisostomi M, Comelli D and Pilo L 2012 Perturbations in massive gravity cosmology arXiv:1202.1986
30. Paulos M F and Tolley A J 2012 Massive gravity theories and limits of ghost-free bigravity models arXiv:1203.4268
31. Hassan S F, Schmidt-May A and von Strauss M 2012 Proof of consistency of nonlinear massive gravity in the Stúckelberg formulation arXiv:1203.5283
32. Comelli D, Crisostomi M, Nesti F and Pilo L 2012 Degrees of freedom in massive gravity arXiv:1204.1027
33. Sbisa F, Niz G, Koyama K and Tasinato G 2012 Characterising Vainshtein solutions in massive gravity arXiv:1204.1193
34. Kluson J 2012 Non-linear massive gravity with additional primary constraint and absence of ghosts arXiv:1204.2957
35. Tasinato G, Koyama K and Niz G 2012 New symmetries in Fierz-Pauli massive gravity arXiv:1204.5880
36. Morand K and Solodukhin S N 2012 Dual massive gravity arXiv:1204.6224
37. Cardone V F, Radicella N and Parisi L 2012 Constraining massive gravity with recent cosmological data Phys. Rev. D 85 124005 (arXiv:1205.1613)
38. Baccetti V, Martin-Moruno P and Visser M 2012 Massive gravity from bimetric gravity arXiv:1205.2158
39. Gratia P, Hu W and Wyman M 2012 Self-accelerating massive gravity: exact solutions for any isotropic matter distribution arXiv:1205.4241
40. Volkov M S 2012 Exact self-accelerating cosmologies in the ghost-free bigravity and massive gravity arXiv:1205.5713
41. De Felice A, Gumrukcuoglu A E and Mukohyama S 2012 Massive gravity: nonlinear instability of the homogeneous and isotropic universe arXiv:1206.2080
42. Gumrukcuoglu A E, Lin C and Mukohyama S 2012 Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity arXiv:1206.2723
43. de Rham C and Renaux-Petel S 2012 Massive gravity on de Sitter and unique candidate for partially massless gravity arXiv:1206.3482
44. Berg M, Buchberger I, Enander J, Mortsell E and Sjors S 2012 Growth histories in bimetric massive gravity arXiv:1206.3496
45. D'Amico G 2012 Cosmology and perturbations in massive gravity arXiv:1206.3617
46. Baccetti V, Martin-Moruno P and Visser M 2012 Null energy condition violations in bimetric gravity arXiv:1206.3814
47. Fasiello M and Tolley A J 2012 Cosmological perturbations in massive gravity and the Higuchi bound arXiv:1206.3852
48. D'Amico G, Gabadadze G, Hui L and Pirtskhalava D 2012 Quasi-dilaton: theory and cosmology arXiv:1206.4253
49. Baccetti V, Martin-Moruno P and Visser M 2012 Gordon and Kerr-Schild ansatze in massive and bimetric gravity arXiv:1206.4720
50. Cai Y-F, Easson D A, Gao C and Saridakis E N 2012 Charged black holes in nonlinear massive gravity arXiv:1211.0563
51. Langlois D and Naruko A 2012 Cosmological solutions of massive gravity on de Sitter arXiv:1206.6810
52. de Rham C, Gabadadze G, Heisenberg L and Pirtskhalava D 2012 Non-renormalization and naturalness in a class of scalar-tensor theories arXiv:1212.4128
53. Huang Q-G, Piao Y-S and Zhou S-Y 2012 Mass-varying massive gravity arXiv:1206.5678
54. Arkani-Hamed N, Georgi H and Schwartz M D 2003 Effective field theory for massive gravitons and gravity in theory space Ann. Phys. 305 96 (arXiv:hep-th/0210184)
55. Peebles P J E and Ratra B 1988 Cosmology with a time variable cosmological constant Astrophys. J. 325 L17
56. Wetterich C 1988 Cosmology and the fate of dilatation symmetry Nucl. Phys. B 302 668
57. Caldwell R R 2002 A phantom menace? Phys. Lett. B 545 23 (arXiv:astro-ph/9908168)
58. Dabrowski M P, Stachowiak T and Szydlowski M 2003 Phantom cosmologies Phys. Rev. D 68 103519 (arXiv:hep-th/0307128)
59. Chen X-m, Gong Y and Saridakis E N 2009 Phase-space analysis of interacting phantom cosmology J. Cosmol. Astropart. Phys. JCAP04(2009)001 (arXiv:0812.1117)
60. Saridakis E N 2009 Phantom evolution in power-law potentials Nucl. Phys. B 819 116 (arXiv:0902.3978)
61. Cai Y-F, Saridakis E N, Setare M R and Xia J-Q 2010 Quintom cosmology: theoretical implications and observations Phys. Rep. 493 1 (arXiv:0909.2776)
62. Saridakis E N and Sushkov S V 2010 Quintessence and phantom cosmology with non-minimal derivative coupling Phys. Rev. D 81 083510 (arXiv:1002.3478)
63. Cai Y-F, Gao C and Saridakis E N 2012 Bounce and cyclic cosmology in extended nonlinear massive gravity J. Cosmol. Astropart. Phys. JCAP10(2012)048 (arXiv:1207.3786)
64. Copeland E J, Liddle A R and Wands D 1998 Exponential potentials and cosmological scaling solutions Phys. Rev. D 57 4686 (arXiv:gr-qc/9711068)
65. Briscese F, Elizalde E, Nojiri S and Odintsov S D 2007 Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity Phys. Lett. B 646 105 (arXiv:hep-th/0612220)
66. Capozziello S, De Laurentis M, Nojiri S and Odintsov S D 2009 Classifying and avoiding singularities in the alternative gravity dark energy models Phys. Rev. D 79 124007 (arXiv:0903.2753)
67. Leon G, Saavedra J and Saridakis E N 2013 Cosmological behavior in extended nonlinear massive gravity arXiv:1301.7419