Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity

Journal of Cosmology and Astroparticle Physics

Volumn 2012, Issue 10, 2012, Pages

  Haghani, Zahra ^a   Harko, Tiberiu ^b   Reza Sepangi, Hamid ^a   Shahidi, Shahab ^a  

^a SHAHID BEHESHTI UNIVERSITY   (Iran)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

dark energy theory; modified gravity

Indexed keywords

EID: 84868239697     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2012/10/061     Document Type: Article

References (113)

1. Supernova Cosmology Project collaboration, S. Perlmutter et al., 1999 Measurements of Ω and Λ from 42 high redshift supernovae, Astrophys. J. 517 565 [astro-ph/9812133]
2. A.G. Riess et al., 1998 Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J. 116 1009 [astro-ph/9805201] (Pubitemid 128138905)
3. P. de Bernardis et al., 2000 A flat Universe from high-resolution maps of the cosmic microwave background radiation, Nature 404 955 [astro-ph/0004404] (Pubitemid 30243582)
4. S. Hanany, P. Ade, A. Balbi, J. Bock, J. Borrill, et al., 2000 MAXIMA-1: a measurement of the cosmic microwave background anisotropy on angular scales of 10 arcminutes to 5 degrees, Astrophys. J. 545 L5 [astro-ph/0005123] (Pubitemid 33210195)
5. D.N. Spergel et al., 2007 Wilkinson Microwave Anisotropy Probe (WMAP) three year results: implications for cosmology, Astrophys. J. Suppl. 170 377 [astro-ph/0603449]
6. V. Rubin, N. Thonnard and J. Ford, W.K., 1980 Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605/R = 4kpc to UGC 2885/R = 122 kpc, Astrophys. J. 238 471
7. J. Binney and S. Tremaine, 1987 Galactic dynamics, Princeton University Press, Princeton U.S.A.
8. M. Persic, P. Salucci and F. Stel, 1996 The universal rotation curve of spiral galaxies - I. The dark matter connectio Mon. Not. Roy. Astron. Soc. 281 27
9. A. Borriello and P. Salucci, 2001 The dark matter distribution in disk galaxies, Mon. Not. Roy. Astron. Soc. 323 285 [astro-ph/0001082] (Pubitemid 33636240)
10. P. Peebles and B. Ratra, 2003 The cosmological constant and dark energy, Rev. Mod. Phys. 75 559 [astro-ph/0207347] (Pubitemid 36719930)
11. T. Padmanabhan, 2003 Cosmological constant: the weight of the vacuum, Phys. Rept. 380 235 [hep-th/0212290] (Pubitemid 36688412)
12. V. Sahni and A.A. Starobinsky, 2000 The case for a positive cosmological Λ term Int. J. Mod. Phys. D 9 373 [astro-ph/9904398]
13. J.M. Overduin and P. Wesson, 2004 Dark matter and background light, Phys. Rept. 402 267 [astro-ph/0407207] (Pubitemid 39473704)
14. R. Caldwell, R. Dave and P.J. Steinhardt, 1998 Cosmological imprint of an energy component with general equation of state, Phys. Rev. Lett. 80 1582 [astro-ph/9708069]
15. M. Mak and T. Harko, 2002 Quintessence and cosmic acceleration, Int. J. Mod. Phys. D 11 1389 [gr-qc/0211057]
16. C.R. Watson and R.J. Scherrer, 2003 The evolution of inverse power law quintessence at low redshift, Phys. Rev. D 68 123524 [astro-ph/0306364] (Pubitemid 44966700)
17. S. Matarrese, C. Baccigalupi and F. Perrotta, 2004 Approaching Λ without fine-tuning, Phys. Rev. D 70 061301 [astro-ph/0403480] (Pubitemid 44947266)
18. S. Nojiri and S.D. Odintsov, 2004 The final state and thermodynamics of dark energy universe, Phys. Rev. D 70 103522 [hep-th/0408170]
19. L. Perivolaropoulos, 2005 Constraints on linear negative potentials in quintessence and phantom models from recent supernova data, Phys. Rev. D 71 063503 [astro-ph/0412308]
20. O. Bertolami and P. Martins, 2000 Nonminimal coupling and quintessence, Phys. Rev. D 61 064007 [gr-qc/9910056]
21. A. Sen, S. Sen and S. Sethi, 2001 Dissipative fluid in Brans-Dicke theory and late time acceleration, Phys. Rev. D 63 107501 [gr-qc/0010030] (Pubitemid 33795192)
22. S. Sen and A. Sen, 2001 Late time acceleration in Brans-Dicke cosmology, Phys. Rev. D 63 124006 [gr-qc/0010092]
23. S. Kalyana Rama, 1998 Size of black holes through polymer scaling, Phys. Lett. B 424 39 [hep-th/9710035]
24. A. Kamenshchik, U. Moschella and V. Pasquier, 2000 Chaplygin-like gas and branes in black hole bulks, Phys. Lett. B 487 7 [gr-qc/0005011]
25. M. Bento, O. Bertolami and A. Sen, 2002 Generalized Chaplygin gas, accelerated expansion and dark energy matter unification, Phys. Rev. D 66 043507 [gr-qc/0202064] (Pubitemid 44861149)
26. N. Bilic, G.B. Tupper and R.D. Viollier, 2002 Unification of dark matter and dark energy: the inhomogeneous Chaplygin gas, Phys. Lett. B 535 17 [astro-ph/0111325]
27. M. Mak and T. Harko, 2005 Chaplygin gas dominated anisotropic brane world cosmological models, Phys. Rev. D 71 104022 [gr-qc/0505034] (Pubitemid 44643266)
28. C. Pun, L. Gergely, M. Mak, Z. Kovacs, G. Szabo, et al., 2008 Viscous dissipative Chaplygin gas dominated homogenous and isotropic cosmological models, Phys. Rev. D 77 063528 [0801.2008]
29. V. Gorini, A. Kamenshchik, U. Moschella, O. Piattella and A. Starobinsky, 2008 Gauge-invariant analysis of perturbations in Chaplygin gas unified models of dark matter and dark energy J. Cosmol. Astropart. Phys. JCAP02(2008)016 [0711.4242]
30. S. Capozziello, 2002 Curvature quintessence, Int. J. Mod. Phys. D 11 483 [gr-qc/0201033]
31. S.M. Carroll, V. Duvvuri, M. Trodden and M.S. Turner, 2004 Is cosmic speed-up due to new gravitational physics?, Phys. Rev. D 70 043528 [astro-ph/0306438]
32. S. Capozziello, S. Nojiri, S. Odintsov and A. Troisi, 2006 Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase, Phys. Lett. B 639 135 [astro-ph/0604431] (Pubitemid 44444825)
33. S. Nojiri and S.D. Odintsov, 2006 Modified f(R) gravity consistent with realistic cosmology: From matter dominated epoch to dark energy universe, Phys. Rev. D 74 086005 [hep-th/0608008] (Pubitemid 44607518)
34. M. Amarzguioui, O. Elgaroy, D. Mota and T. Multamaki, 2006 Cosmological constraints on f(R) gravity theories within the palatini approach, Astron. Astrophys. 454 707 [astro-ph/0510519] (Pubitemid 44195615)
35. T. Koivisto, 2007 Viable Palatini-f(R) cosmologies with generalized dark matter, Phys. Rev. D 76 043527 [0706.0974]
36. A.A. Starobinsky, 2007 Disappearing cosmological constant in f(R) gravity, JETP Lett. 86 157 [0706.2041]
37. B. Li, J.D. Barrow and D.F. Mota, 2007 The cosmology of modified Gauss-Bonnet gravity, Phys. Rev. D 76 044027 [0705.3795]
38. S.E. Perez Bergliaffa, 2006 Constraining f(R) theories with the energy conditions, Phys. Lett. B 642 311 [gr-qc/0608072] (Pubitemid 44754800)
39. J. Santos, J. Alcaniz, M. Reboucas and F. Carvalho, 2007 Energy conditions in f(R)-gravity, Phys. Rev. D 76 083513 [0708.0411]
40. G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov and S. Zerbini, 2005 One-loop f(R) gravity in de Sitter universe J. Cosmol. Astropart. Phys. JCAP02(2005)010 [hep-th/0501096]
41. V. Faraoni, 2005 Modified gravity and the stability of de Sitter space, Phys. Rev. D 72 061501 [gr-qc/0509008]
42. V. Faraoni, 2005 The Stability of modified gravity models, Phys. Rev. D 72 124005 [gr-qc/0511094]
43. S. Nojiri and S.D. Odintsov, 2006 Introduction to modified gravity and gravitational alternative for dark energy eConf C 0602061 06 [hep-th/0601213]
44. S. Nojiri and S.D. Odintsov, 2007 Int. J. Geom. Meth. Mod. Phys. 4 115
45. L.M. Sokolowski, 2007 Metric gravity theories and cosmology. I: physical interpretation and viability, Class. Quant. Grav. 24 3391 [gr-qc/0702097]
46. V. Faraoni, 2007 de Sitter space and the equivalence between f(R) and scalar-tensor gravity, Phys. Rev. D 75 067302 [gr-qc/0703044]
47. C.G. Boehmer, L. Hollenstein and F.S. Lobo, 2007 Stability of the Einstein static universe in f(R) gravity, Phys. Rev. D 76 084005 [0706.1663]
48. S. Carloni, P. Dunsby and A. Troisi, 2008 The evolution of density perturbations in f(R) gravity, Phys. Rev. D 77 024024 [0707.0106]
49. S. Capozziello, R. Cianci, C. Stornaiolo and S. Vignolo, 2007 f(R) gravity with torsion: the metric-affine approach, Class. Quant. Grav. 24 6417 [0708.3038]
50. S. Nojiri, S.D. Odintsov and P.V. Tretyakov, 2007 Dark energy from modified f(R)-scalar-Gauss-Bonnet gravity, Phys. Lett. B 651 224 [0704.2520]
51. S. Nojiri and S.D. Odintsov, 2007 Newton law corrections and instabilities in f(R) gravity with the effective cosmological constant epoch, Phys. Lett. B 652 343 [0706.1378]
52. S. Tsujikawa, 2008 Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints, Phys. Rev. D 77 023507 [0709.1391]
53. K.N. Ananda, S. Carloni and P. Dunsby, 2008 The evolution of cosmological gravitational waves in f(R) gravity, Phys. Rev. D 77 024033 [0708.2258]
54. A. Borzou, H. R. Sepangi, S. Shahidi and R. Yousefi, 2009 Brane f(R) gravity, Eur. Phys. Lett. 88 29001 [0910.1933]
55. A. Guarnizo, L. Castaneda and J.M. Tejeiro, 2010 Boundary term in metric f(R) gravity: field equations in the metric formalism Gen. Rel. Grav. 42 2713 [1002.0617]
56. Z. Haghani, H.R. Sepangi and S. Shahidi, 2012 Cosmological dynamics of brane f(R) gravity J. Cosmol. Astropart. Phys. JCAP02(2012)031 [1201.6448]
57. O. Bertolami, C.G. Boehmer, T. Harko and F.S. Lobo, 2007 Extra force in f(R) modified theories of gravity, Phys. Rev. D 75 104016 [0704.1733]
58. T. Harko, 2008 Modified gravity with arbitrary coupling between matter and geometry, Phys. Lett. B 669 376 [0810.0742]
59. T. Harko and F.S. Lobo, 2010 f(R,Lm ) gravity, Eur. Phys. J. C 70 373 [1008.4193]
60. T. Harko, F.S. Lobo, S. Nojiri and S.D. Odintsov, 2011 f(R,T) gravity, Phys. Rev. D 84 024020 [1104.2669]
61. T. Harko, T.S. Koivisto and F.S. Lobo, 2011 Palatini formulation of modified gravity with a nonminimal curvature-matter coupling, Mod. Phys. Lett. A 26 1467 [1007.4415]
62. C. Möller, 1961 Conservation laws and absolute parallelism in general relativity Mat. Fys. Skr. Dan. Vid. Selsk. 1 3
63. C. Pellegrini and J. Plebanski, 1963 Tetrad fields and gravitational fields Mat. Fys. Skr. Dan. Vid. Selsk. 2 39
64. K. Hayashi and T. Shirafuji, 1979 New general relativity, Phys. Rev. D 19 3524 [Addendum ibid D 24 (1982) 3312-3314]
65. R. Weitzenböck, 1923 Invariantentheorie, Noordhoff, Groningen The Netherlands
66. R. Ferraro and F. Fiorini, 2007 Modified teleparallel gravity: inflation without inflaton, Phys. Rev. D 75 084031 [gr-qc/0610067]
67. R. Ferraro and F. Fiorini, 2008 On Born-Infeld gravity in Weitzenbock spacetime, Phys. Rev. D 78 124019 [0812.1981]
68. G.R. Bengochea and R. Ferraro, 2009 Dark torsion as the cosmic speed-up, Phys. Rev. D 79 124019 [0812.1205]
69. E.V. Linder, 2010 Einstein's other gravity and the acceleration of the universe, Phys. Rev. D 81 127301 [Erratum ibid D 82 (2010) 109902] [1005.3039]
70. G.R. Bengochea, 2011 Observational information for f(T) theories and dark torsion, Phys. Lett. B 695 405 [1008.3188]
71. P. Wu and H. W. Yu, 2010 Observational constraints on f(T) theory, Phys. Lett. B 693 415 [1006.0674]
72. R.-J. Yang, 2011 Conformal transformation in f(T) theories, Eur. Phys. Lett. 93 60001 [1010.1376]
73. Y.-F. Cai, S.-H. Chen, J.B. Dent, S. Dutta and E.N. Saridakis, 2011 Matter bounce cosmology with the f(T) gravity, Class. Quant. Grav. 28 215011 [1104.4349]
74. H. Wei, X.-P. Ma and H.-Y. Qi, 2011 f(T) theories and varying fine structure constant, Phys. Lett. B 703 74 [1106.0102]
75. Y. Zhang, H. Li, Y. Gong and Z.-H. Zhu, 2011 Notes on f(T) theories J. Cosmol. Astropart. Phys. JCAP07(2011)015 [1103.0719]
76. C.G. Boehmer, T. Harko and F.S. Lobo, 2012 Wormhole geometries in modified teleparralel gravity and the energy conditions, Phys. Rev. D 85 044033 [1110.5756]
77. H. Weyl, 1918 Gravitation un Elektrizität Sitzungsber. Preuss. Akad. Wiss. 465 1
78. A. Einstein, 1918 upplement to Hermann Weyl ''Gravitation and Electricity'' Sitzungsber. Preuss. Akad. Wiss. 478 1
79. P.A.M. Dirac, 1973 Long range forces and broken symmetries Proc. Roy. Soc. London A 333 403
80. F. Hehl, P. Von Der Heyde, G. Kerlick and J. Nester, 1976 General relativity with spin and torsion: foundations and prospects, Rev. Mod. Phys. 48 393
81. W. Wood and G. Papini, 1992 Breaking Weyl invariance in the interior of a bubble, Phys. Rev. D 45 3617
82. M. Israelit and N. Rosen, 1992 Weyl-Dirac geometry and dark matter, Found. Phys. 22 555
83. M. Israelit and N. Rosen, 1994 Weylian dark matter and cosmology, Found. Phys. 24 901 (Pubitemid 24818421)
84. M. Israelit, 1995 Cosmic dark matter and Dirac gauge function, Found. Phys. 25 763
85. M. Israelit, 2002 Weyl-Dirac quintessence and dark matter, Int. J. Mod. Phys. A 17 4229
86. A. Feoli and G. Lambiase, 2002 Cherenkov radiation from a charged particle in a Weyl-Dirac theory, Gen. Rel. Grav. 34 2163 (Pubitemid 37133296)
87. M. Agop, P. Nica and M. Girtu, 2008 On the vacuum status in Weyl-Dirac theory, Gen. Rel. Grav. 40 35
88. S. Mirabotalebi, F. Ahmadi and H. Salehi, 2008 Massive mesons in Weyl-Dirac theory, Gen. Rel. Grav. 40 81
89. M. Israelit, 2011 A Weyl-Dirac cosmological model with DM and DE, Gen. Rel. Grav. 43 751 [1008.0767]
90. N.J. Poplawski, Spacetime torsion as a possible remedy to major problems in gravity and cosmology, [1106.4859]
91. M. Israelit, 1999 The Weyl-Dirac theory and our universe, Nova Science Publishers, Commack, New York U.S.A.
92. S. Mirabotalebi, S. Jalalzadeh, M. Sadegh Movahed and H.R. Sepangi, 2008 Weyl-Dirac theory predictions on galactic scales Mon. Not. Roy. Astron. Soc. 385 986 [gr-qc/0504117]
93. H.-H. von Borzeszkowski and H.-J. Treder, 1997 The Weyl-Cartan space problem in purely affine theory Gen. Rel. Grav. 29 455
94. D. Puetzfeld and R. Tresguerres, 2001 A cosmological model in Weyl-Cartan space-time, Class. Quant. Grav. 18 677 [gr-qc/0101050]
95. D. Puetzfeld, 2002 A cosmological model in Weyl-Cartan space-time. 2. Magnitude redshift relation, Class. Quant. Grav. 19 4463 [gr-qc/0205052] (Pubitemid 37028770)
96. D. Puetzfeld, 2002 A cosmological model in Weyl-Cartan space-time. 1. Field equations and solutions, Class. Quant. Grav. 19 3263 [gr-qc/0111014] (Pubitemid 37035162)
97. O.V. Babourova, 2004 Modified Friedmann-Lemeître equation for dilaton-spin dark matter in Weyl-Cartan space Grav. Cosmol. 10 121 [gr-qc/0507104]
98. O.V. Babourova and V.F. Korolev, 2006 Variational formalism and field equations of tetrad gravitation theory in the Weyl-Cartan space Russian Phys. J. 49 628 (Pubitemid 44826751)
99. O.V. Babourova, V.C. Zhukovsky and B. Frolov, 2008 A Weyl-Cartan space-time model based on the gauge principle, Theor. Math. Phys. 157 1420
100. B. Park and D. Pak, Quantum gravity model in the framework of Weyl-Cartan geometry, [1009.5174]
101. O.V. Baburova, B.N. Frolov and R.S. Kostkin, Dirac's scalar field as dark energy within the frameworks of conformal theory of gravitation in Weyl-Cartan space, [1006.4761]
102. T.Y. Moon, J. Lee and P. Oh, 2010 Conformal invariance in Einstein-Cartan-Weyl space, Mod. Phys. Lett. A 25 3129 [0912.0432]
103. T. Moon, P. Oh and J. Sohn, 2010 Anisotropic Weyl symmetry and cosmology J. Cosmol. Astropart. Phys. JCAP11(2010)005 [1002.2549]
104. M. Israelit, 1997 Massive electrodynamics and magnetic monopoles, Gen. Rel. Grav. 29 1411 [gr-qc/9608047]
105. M. Israelit, 1997 Magnetic monopoles and massive photons in a Weyl type electrodynamics, Gen. Rel. Grav. 29 1597 [gr-qc/9611060]
106. M. Israelit, 1998 Torsional Weyl-Dirac electrodynamics, Found. Phys. 28 205 [0712.4044]
107. th$ Marcel Grossmann Meeting, T. Piran and R. Ruffini eds., World Scientific, Singapore 1999, p. 653
108. M. Novello and S.E. Perez Bergliaffa, 2008 Bouncing cosmologies, Phys. Rept. 463 127
109. T. Padmanabhan, 2011 Gravitation foundations and fronteirs, Cambridge University Press, Cambridge U.K.
110. R. Caldwell, 2002 A phantom menace?, Phys. Lett. B 545 23 [astro-ph/9908168]
111. R.R. Caldwell, M. Kamionkowski and N.N. Weinberg, 2003 Phantom energy and cosmic doomsday, Phys. Rev. Lett. 91 071301 [astro-ph/0302506]
112. S.M. Carroll, M. Hoffman and M. Trodden, 2003 Can the dark energy equation-of-state parameter w be less than -1?, Phys. Rev. D 68 023509 [astro-ph/0301273] (Pubitemid 44628185)
113. V. Faraoni, 2012 The correspondence between a scalar field and an effective perfect fluid, Phys. Rev. D 85 024040 [1201.1448]