RSS feeds
РусскийEnglish
Issue 3, 2025 Retrieve →
Issues Authors PACS Subscription For authors
Search →

Issues

 / 

2008

 / 

August

←  →

Reviews of topical problems


Infrared-modified gravities and massive gravitons

 a,  a, b
a Institute for Nuclear Research, Russian Academy of Sciences, prosp. 60-letiya Oktyabrya 7a, Moscow, 117312, Russian Federation
b Service de Physique Théorique, Université Libre de Bruxelles, CP225, bld. du Triomphe, Bruxelles, B-1050, Belgium

We review some theoretical and phenomenological aspects of massive gravities in 4 dimensions. We start from the Fierz-Pauli theory with Lorentz-invariant mass terms and then proceed to Lorentz-violating masses. Unlike the former theory, some models with Lorentz violation have no pathologies in the spectrum in flat and nearly flat backgrounds and lead to an interesting phenomenology.

Fulltext pdf (509 KB)
Fulltext is also available at DOI: 10.1070/PU2008v051n08ABEH006600
PACS: 04.50.+h, 11.10.Lm, 95.35.+d (all)
DOI: 10.1070/PU2008v051n08ABEH006600
URL: https://ufn.ru/en/articles/2008/8/a/
000261856600001
2-s2.0-57549087724
2008PhyU...51..759R
Citation: Rubakov V A, Tinyakov P G "Infrared-modified gravities and massive gravitons" Phys. Usp. 51 759–792 (2008)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Рубаков В А, Тиняков П Г «Модификация гравитации на больших расстояниях и массивный гравитон» УФН 178 785–822 (2008); DOI: 10.3367/UFNr.0178.200808a.0785

References (129) ↓ Cited by (248) Similar articles (20)

  1. Weinberg S Rev. Mod. Phys. 61 1 (1989)
  2. Sahni V, Starobinsky A Int. J. Mod. Phys. D 9 373 (2000); Sahni V, Starobinsky A astro-ph/9904398
  3. Dolgov A D, astro-ph/9708045
  4. Chernin A D Usp. Fiz. Nauk 171 1153 (2001); Chernin A D Phys. Usp. 44 1099 (2001)
  5. Padmanabhan T Phys. Rep. 380 235 (2003); Padmanabhan T hep-th/0212290
  6. Peebles P J E, Ratra B Rev. Mod. Phys. 75 559 (2003); Peebles P J E, Ratra B astro-ph/0207347
  7. Copeland E J, Sami M, Tsujikawa S Int. J. Mod. Phys. D 15 1753 (2006); Copeland E J, Sami M, Tsujikawa S hep-th/0603057
  8. Spergel D N et al. (WMAP) Astrophys. J. Suppl. 170 377 (2007); Spergel D N et al. (WMAP) astro-ph/0603449
  9. Dolgov A D, hep-ph/0606230
  10. Rubakov V A Phys. Rev. D 61 061501 (2000); Rubakov V A hep-ph/9911305
  11. Steinhardt P J, Turok N Science 312 1180 (2006); Steinhardt P J, Turok N astro-ph/0605173
  12. Linde A, hep-th/0211048
  13. Rubakov V A Usp. Fiz. Nauk 171 913 (2001); Rubakov V A Phys. Usp. 44 871 (2001); Rubakov V A hep-ph/0104152
  14. Charmousis C, Gregory R, Rubakov V A Phys. Rev. D 62 067505 (2000); Charmousis C, Gregory R, Rubakov V A hep-th/9912160
  15. Kogan I I et al. Nucl. Phys. B 584 313 (2000); Kogan I I et al. hep-ph/9912552
  16. Gregory R, Rubakov V A, Sibiryakov S M Phys. Rev. Lett. 84 5928 (2000); Gregory R, Rubakov V A, Sibiryakov S M hep-th/0002072
  17. Gabadadze G Nucl. Phys. B 171 88 (2007); Gabadadze G arXiv:0705.1929
  18. Dvali G, Gabadadze G, Porrati M Phys. Lett. B 485 208 (2000); Dvali G, Gabadadze G, Porrati M hep-th/0005016
  19. Gabadadze G, hep-ph/0308112
  20. Luty M A, Porrati M, Rattazzi R JHEP (09) 029 (2003); Luty M A, Porrati M, Rattazzi R hep-th/0303116
  21. Rubakov V A, hep-th/0303125
  22. Nicolis A, Rattazzi R JHEP (06) 059 (2004); Nicolis A, Rattazzi R hep-th/0404159
  23. Deffayet C Phys. Lett. B 502 199 (2001); Deffayet C hep-th/0010186
  24. Deffayet C, Dvali G, Gabadadze G Phys. Rev. D 65 044023 (2002); Deffayet C, Dvali G, Gabadadze G astro-ph/0105068
  25. Dvali G, Gabadadze G, Shifman M Phys. Rev. D 67 044020 (2003); Dvali G, Gabadadze G, Shifman M hep-th/0202174
  26. Gorbunov D, Koyama K, Sibiryakov S Phys. Rev. D 73 044016 (2006); Gorbunov D, Koyama K, Sibiryakov S hep-th/0512097
  27. Bekenstein J, Milgrom M Astrophys. J. 286 7 (1984)
  28. Bekenstein J D Phys. Lett. B 202 497 (1988)
  29. Bekenstein J D Phys. Rev. D 70 083509 (2004); Bekenstein J D astro-ph/0403694
  30. Bekenstein J D PoS (JHW2004) 012 (2005); Bekenstein J D astro-ph/0412652
  31. Bekenstein J D, Sanders R H, astro-ph/0509519
  32. Logunov A A Relativistic Theory Of Gravity (Commack, NY: Nova Sci. Publ., 1998)
  33. Logunov A A, gr-qc/0210005
  34. ’t Hooft G, arXiv:0708.3184
  35. Boisseau B et al. Phys. Rev. Lett. 85 2236 (2000); Boisseau B et al. gr-qc/0001066
  36. Gannouji R et al. JCAP (09) 016 (2006); Gannouji R et al. astro-ph/0606287
  37. Carloni S et al. gr-qc/0701009
  38. Arkani-Hamed N et al. JHEP (05) 074 (2004); Arkani-Hamed N et al. hep-th/0312099
  39. Rubakov V, hep-th/0407104
  40. Dubovsky S L JHEP (10) 076 (2004); Dubovsky S L hep-th/0409124
  41. Dubovsky S L, Tinyakov P G, Tkachev I I Phys. Rev. D 72 084011 (2005); Dubovsky S L, Tinyakov P G, Tkachev I I hep-th/0504067
  42. Dubovsky S L, Tinyakov P G, Tkachev I I Phys. Rev. Lett. 94 181102 (2005); Dubovsky S L, Tinyakov P G, Tkachev I I hep-th/0411158
  43. Fierz M, Pauli W Proc. R. Soc. London A 173 211 (1939)
  44. Arkani-Hamed N, Georgi H, Schwartz M D Ann. Phys. 305 96 (2003); Arkani-Hamed N, Georgi H, Schwartz M D hep-th/0210184
  45. Kakushadze Z Phys. Rev. D 77 024001 (2008); Kakushadze Z arXiv:0710.1061
  46. Kogan I I, Mouslopoulos S, Papazoglou A Phys. Lett. B 503 173 (2001); Kogan I I, Mouslopoulos S, Papazoglou A hep-th/0011138
  47. Porrati M Phys. Lett. B 498 92 (2001); Porrati M hep-th/0011152
  48. Deser S, Waldron A Phys. Rev. Lett. 87 031601 (2001); Deser S, Waldron A hep-th/0102166
  49. Deser S, Waldron A Phys. Lett. B 508 347 (2001); Deser S, Waldron A hep-th/0103255
  50. Porrati M JHEP (04) 058 (2002); Porrati M hep-th/0112166
  51. Mukhanov V F, Feldman H A, Brandenberger R H Phys. Rep. 215 203 (1992)
  52. van Dam H, Veltman M Nucl. Phys. B 22 397 (1970)
  53. Zakharov V I Pis’ma ZhETF 12 447 (1970); Zakharov V I JETP Lett. 12 312 (1970)
  54. Will C M Living Rev. Relativity lrr-2006-3 (2006); Will C M gr-qc/0510072
  55. Ford L H, Van Dam H Nucl. Phys. B 169 126 (1980)
  56. VainshteinA I Phys. Lett. B 39 393 (1972)
  57. Creminelli P et al. JHEP (09) 003 (2005); Creminelli P et al. hep-th/0505147
  58. Long J C et al. Nature 421 922 (2003)
  59. Long J C, Price J C C.R. Physique 4 337 (2003); Long J C, Price J C hep-ph/0303057
  60. Smullin S J et al. Phys. Rev. D 72 122001 (2005); Smullin S J et al. hep-ph/0508204
  61. Hoyle C D et al. Phys. Rev. D 70 042004 (2004); Hoyle C D et al. hep-ph/0405262
  62. Gherghetta T, hep-ph/0601213
  63. Hewett J L In Particle Physics Beyond The Standard Model, Lecture Notes Of The Les Houches Summer School. Session 84: 2005 (Eds D Kazakov, S Lavignac, J Dalibard) (Amsterdam: Elsevier) 5 (2006)
  64. Rubakov V In Particle Physics Beyond The Standard Model, Lecture Notes Of The Les Houches Summer School. Session 84: 2005 (Eds D Kazakov, S Lavignac, J Dalibard) (Amsterdam: Elsevier) 4 (2006)
  65. Aubert A Phys. Rev. D 69 087502 (2004); Aubert A hep-th/0312246
  66. Boulware D G, Deser S Phys. Rev. D 6 3368 (1972)
  67. Deffayet C, Rombouts J-W Phys. Rev. D 72 044003 (2005); Deffayet C, Rombouts J-W gr-qc/0505134
  68. Cline J M, Jeon S, Moore G D Phys. Rev. D 70 043543 (2004); Cline J M, Jeon S, Moore G D hep-ph/0311312
  69. Creminelli P et al. JHEP (12) 080 (2006); Creminelli P et al. hep-th/0606090
  70. Dubovsky S L JCAP (07) 009 (2004); Dubovsky S L hep-ph/0403308
  71. Peloso M, Sorbo L Phys. Lett. B 593 25 (2004); Peloso M, Sorbo L hep-th/0404005
  72. Arkani-Hamed N et al. JHEP (01) 036 (2007); Arkani-Hamed N et al. hep-ph/0507120
  73. Felder G, Kofman L, Starobinsky A JHEP (09) 026 (2002); Felder G, Kofman L, Starobinsky A hep-th/0208019
  74. Krotov D, Rebbi C, Rubakov V, Zakharov V Phys. Rev. D 71 045014 (2005); Krotov D, Rebbi C, Rubakov V, Zakharov V hep-ph/0407081
  75. Frolov A V Phys. Rev. D 70 061501 (2004); Frolov A V hep-th/0404216
  76. Mukohyama S Phys. Rev. D 71 104019 (2005); Mukohyama S hep-th/0502189
  77. Dubovsky S L, Sibiryakov S M Phys. Lett. B 638 509 (2006); Dubovsky S L, Sibiryakov S M hep-th/0603158
  78. Babichev E, Mukhanov V, Vikman A JHEP (09) 061 (2006); Babichev E, Mukhanov V, Vikman A hep-th/0604075
  79. Dubovsky S, Tinyakov P, Zaldarriaga M JHEP (11) 083 (2007); Dubovsky S, Tinyakov P, Zaldarriaga M arXiv:0706.0288
  80. Arkani-Hamed N et al. JCAP (04) 001 (2004); Arkani-Hamed N et al. hep-th/0312100
  81. Piazza F, Tsujikawa S JCAP (07) 004 (2004); Piazza F, Tsujikawa S hep-th/0405054
  82. Krause A, Ng S-P Int. J. Mod. Phys. A 21 1091 (2006); Krause A, Ng S-P hep-th/0409241
  83. Senatore L Phys. Rev. D 71 043512 (2005); Senatore L astro-ph/0406187
  84. Rubakov V A Teor. Mat. Fiz. 149 409 (2006); Rubakov V A Theor. Math. Phys. 149 1651 (2006); Rubakov V A hep-th/0604153
  85. Libanov M, Rubakov V, Papantonopoulos E, Sami M, Tsujikawa S JCAP (08) 010 (2007); Libanov M, Rubakov V, Papantonopoulos E, Sami M, Tsujikawa S arXiv:0704.1848
  86. Mukohyama S JCAP (10) 011 (2006); Mukohyama S hep-th/0607181
  87. Buchbinder E I, Khoury J, Ovrut B A Phys. Rev. D 76 123503 (2007); Buchbinder E I, Khoury J, Ovrut B A hep-th/0702154
  88. Creminelli P, Senatore L JCAP (11) 010 (2007); Creminelli P, Senatore L hep-th/0702165
  89. Buchbinder E I, Khoury J, Ovrut B A JHEP (11) 076 (2007); Buchbinder E I, Khoury J, Ovrut B A arXiv:0706.3903
  90. Dvali G, Papucci M, Schwartz M D Phys. Rev. Lett. 94 191602 (2005); Dvali G, Papucci M, Schwartz M D hep-th/0501157
  91. Gabadadze G, Grisa L Phys. Lett. B 617 124 (2005); Gabadadze G, Grisa L hep-th/0412332
  92. Berezhiani Z et al. Phys. Rev. Lett. 99 131101 (2007); Berezhiani Z et al. hep-th/0703264
  93. Isham C J, Salam A, Strathdee J Phys. Rev. D 3 867 (1971)
  94. Dubovsky S et al. JHEP (03) 025 (2006); Dubovsky S et al. hep-th/0512260
  95. Esposito-Farèse G, Polarski D Phys. Rev. D 63 063504 (2001); Esposito-Farèse G, Polarski D gr-qc/0009034
  96. Taylor J H (Jr.) Rev. Mod. Phys. 66 711 (1994)
  97. Rubakov V A, Sazhin M V, Veryaskin A V Phys. Lett. B 115 189 (1982)
  98. Linde A D Phys. Rev. D 49 748 (1994); Linde A D astro-ph/9307002
  99. Bunch T S, Davies P C W Proc. R. Soc. London A 360 117 (1978)
  100. Thorne K S In Three Hundred Years Of Gravitation (Eds S W Hawking, W Israel) (Cambridge: Cambridge Univ. Press, 1987) p. 330
  101. Bender P L Class. Quantum Grav. 20 S301 (2003)
  102. Lommen A N, astro-ph/0208572
  103. Sazhin M V Astron. Zhurn. 55 65 (1978); Sazhin M V Sov. Astron. 22 36 (1978)
  104. Dodelson S Modern Cosmology (San Diego, Calif.: Academic Press, 2003)
  105. Mukhanov V Physical Foundations Of Cosmology (Cambridge: Cambridge Univ. Press, 2005)
  106. Tegmark M et al. (SDSS) Phys. Rev. D 69 103501 (2004); Tegmark M et al. (SDSS) astro-ph/0310723
  107. Seljak U, Slosar A, McDonald P JCAP (10) 014 (2006); Seljak U, Slosar A, McDonald P astro-ph/0604335
  108. Bebronne M V, Tinyakov P G Phys. Rev. D 76 084011 (2007); Bebronne M V, Tinyakov P G arXiv:0705.1301
  109. Ryan F D Phys. Rev. D 52 5707 (1995)
  110. Falcke H, Melia F, Agol E Astrophys. J. Lett. 528 L13 (2000); Falcke H, Melia F, Agol E astro-ph/9912263
  111. Collins N A, Hughes S A Phys. Rev. D 69 124022 (2004); Collins N A, Hughes S A gr-qc/0402063
  112. Narayan R New J. Phys. 7 199 (2005); Narayan R gr-qc/0506078
  113. Broderick A E, Loeb A Astrophys. J. Lett. 636 L109 (2006); Broderick A E, Loeb A astro-ph/0508386
  114. Glampedakis K, Babak S Class. Quantum Grav. 23 4167 (2006); Glampedakis K, Babak S gr-qc/0510057
  115. Bekenstein J D Phys. Rev. D 5 1239 (1972)
  116. Bekenstein J D Phys. Rev. D 5 2403 (1972)
  117. Teitelboim C Phys. Rev. D 5 2941 (1972)
  118. Price R H Phys. Rev. D 5 2419 (1972)
  119. Thorne K S, Dykla J J Astrophys. J. 166 L35 (1971)
  120. Psaltis D et al. arXiv:0710.4564
  121. Garat A, Price R H Phys. Rev. D 61 124011 (2000); Garat A, Price R H gr-qc/0002013
  122. Valiente Kroon J A Class. Quantum Grav. 21 3237 (2004); Valiente Kroon J A gr-qc/0402033
  123. Berezhiani Z et al. arXiv:0803.1687
  124. Magueijo J Rep. Prog. Phys. 66 2025 (2003); Magueijo J astro-ph/0305457
  125. Jacobson T, arXiv:0801.1547
  126. Eling C, Jacobson T, Mattingly D, gr-qc/0410001
  127. Libanov M V, Rubakov V A JHEP (08) 001 (2005); Libanov M V, Rubakov V A hep-th/0505231
  128. Carroll S M, Lim E A Phys. Rev. D 70 123525 (2004); Carroll S M, Lim E A hep-th/0407149
  129. Kiselev V V Class. Quantum Grav. 21 3323 (2004); Kiselev V V gr-qc/0402095
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions