RT Journal Article T1 Covariant gauge-invariant perturbations in multifluid f (R) gravity A1 Abebe, Amare A1 Abdelwahab, Mohamed A1 Cruz Dombriz, Álvaro de la A1 Dunsby, Peter K. S. AB We study the evolution of scalar cosmological perturbations in the 1 + 3 covariant gauge-invariant formalism for generic f(R) theories of gravity. Extending previous works, we give a complete set of equations describing the evolution of matter and curvature fluctuations for a multi-fluid cosmological medium. We then specialize to a radiation-dust fluid described by barotropic equations of state and solve the perturbation equations around a background solution of R^n gravity. In particular, we study exact solutions for scales much smaller and much larger than the Hubble radius and show that n > 2/3 in order to have a growth rate compatible with the Mészáros effect. PB Institute of Physics SN 0264-9381 YR 2012 FD 2012-07-07 LK https://hdl.handle.net/20.500.14352/44480 UL https://hdl.handle.net/20.500.14352/44480 LA eng NO [1] Moffat JW 2008 Reinventing Gravity, A Physicist goes beyond Einstein (New York:HarperCollins Publishers)[2] Spergel DN et al 2003 ApJS 148 175-194[3] Frampton P 2005 (Preprint astro-ph/0506676 )[4] Copeland EJ, Sami M, Tsujikawa S 2006 Int. J. Mod. Phys. D 15 1753[5] Komatsu E et al 2011 ApJS 192 18[6] Bennett CL et al 2003 ApJS 148 97[7] Dobado A and Maroto AL 1995 Phys. Rev. D 52 1895[8] Dvali G, Gabadadze G and Porrati M 2000 Phys. Lett. B 485 208[9] Beltrán J and Maroto AL 2008 Phys. Rev. D 78 063005 (2008); 2009 JCAP 0903 016 ; 2009 Phys. Rev. D 80 063512; 2009 Int. J. Mod. Phys. D 18 2243-2248[10] Sotiriou TP 2007 Modified Actions for Gravity: Theory and Phenomenology PhD thesis, International School for Advanced Studies (SISSA), Trieste[11] Starobinsky AA 1980 Phys. Lett. 91B 99[12] Barrow JD and A. C. Ottewill AC 1983 J. Phys. A 16 2757[13] Nojiri S and Odintsov SD 2003 Phys. Rev. D 68 123512 ; 2004 Gen. Rel. Grav. 36 1765; 2007 Int. J. Geom. Meth. Mod. Phys. 4 115[14] Carroll SM 2005 et al, Phys. Rev. D71 063513[15] Carloni S, Dunsby PKS, Capozziello S and Troisi A 2005 Class. Quant. Grav. 22 4839[16] Sotiriou TP and Faraoni V 2010 Rev. Mod. Phys. 82 451497[17] Faraoni V 2008 (Preprint arXiv:0810.2602v1 [gr-qc])[18] Weinberg S 1989 Rev. Mod. Phys 61 1[19] Ng YJ 1992 International Journal of Modern Physics D 1 145[20] Sotiriou TP and Liberati S 2007 Ann. Phys. 332 935-966[21] Cembranos JAR 2006 Phys. Rev. D 73 064029[22] Clifton T and Barrow JD 2005 Phys. Rev. D 72 103005[23] Capozziello S 2002 Int. J. Mod. Phys. D 11, 483; Capozziello S, Carloni S and Troisi A 2003 RecentRes.Dev.Astron.Astrophys.1:625 (Preprint arXiv: astro-ph/0303041)[24] Pogosian L and Silvestri A 2008 Phys. Rev. D 77 023503[25] Capozziello S and De Laurentis M 2011 (Preprint arXiv:1108.6266v2 [gr-qc])[26] Bardeen JM 1980 Phys. Rev. D 22 1882-1905[27] Kodama H and Sasaki M 1984 Progr.Theor.Phys. Suppl. 78 1[28] Brandenberger M, Kahn R, and Press WH 1983 Phys. Rev. D 28 1809-1821[29] Dodelson S 2003 Modern Cosmology (Amsterdam: Academic Press)[30] Padmanabhan T 1993 Structure formation in the Universe (Cambridge: Cambridge University Press)[31] Peebles PJE 1971 Physical Cosmology (Princeton: Princeton University Press)[32] Peebles PJE 1980 Large-scale structure of the Universe (Princeton: Princeton University Press)[33] Malik KA, Wands D 2009 Physics Reports 75, 1-4[34] Bertschinger E 2000 (Preprint arXiv:astro-ph/0101009)[35] Mukhanov VF, Feldman HA, Brandenberger RH 1992 Physics Reports. 215 203-333[36] Bernardis 2000 P et al, Nature 404 955-959[37] Ellis GFR and Bruni M 1989 Phys. Rev. D 40 1804[38] Dunsby PKS, Bruni M and Ellis GFR 1992 Astrophys. J. 395 54[39] Bruni M, Ellis GFR, and Dunsby PKS 1992 Class. Quantum Grav. Grav. 9 921-945[40] Bruni M, Dunsby PKS and Ellis GFR 1992 Ap. J. 395 34[41] Dunsby PKS 1991 Class. Quantum Grav. 8 1785[42] Carroll SM, Sawicki I, Silvestri A and Trodden M 2006 New J. Phys. 8 323 Tsujikawa S 2008 Phys. Rev. D 77 023507 Pogosian L and Silvestri A 2008 Phys. Rev. D 77 023503 Starobinsky AA 2007 JETP Lett. 86 157[43] Bean R, Bernat D, Pogosian L, Silvestri A and Trodden M 2007 Phys. Rev. D 75 064020[44] Ananda KN, Carloni S and Dunsby PKS 2009 Class. Quant. Grav. 26 235018[45] Hwang J 1990 Phys. Rev. D 42 2601[46] Dunsby PKS 1992 Perturbations in general relativity and cosmology PhD thesis, Queen Mary and Westfield College, London[47] Sotiriou TP 2006 Gen. Rel. Grav. 38 1407 Mena O, Santiago J and Weller J 2006 Phys. Rev. Lett. 96 041103 Faraoni V 2006 Phys. Rev. D 74 023529 Cruz-Dombriz Adl and Dobado A 2006 Phys. Rev. D 74 087501 Nojiri S and Odintsov SD 2006 Phys. Rev. D 74 086005 Sawicki I and Hu W 2007 Phys. Rev. D 75 127502.[48] Cruz-Dombriz Adl, Dobado A and Maroto AL 2008 Phys. Rev. D 77 123515[49] Cruz-Dombriz Adl, Dobado A and Maroto AL 2009 Phys. Rev. Lett. 103 179001[50] G. F. R. Ellis, M. Bruni, and J. Hwang 1990 Phys. Rev. D 42 1035[51] Carloni S, Dunsby PKS and Troisi A 2008 Phys. Rev. D 77 024024[52] King AR and Ellis GFR 1973 Com. Math. Phys. 31, 209[53] Mészáros P 1974 Astron & Astrophys. 37 225-228 NO © 2012 IOP Publishing Ltd. The authors thank the National Research Foundation (NRF, SouthAfrica) for financial support. AdlCD also acknowledges financial support from MICINN (Spain) project numbers FPA 2008-00592, FIS 2011-23000 and Consolider-Ingenio MULTIDARK CSD2009-00064. NO National Research Foundation (NRF, SouthAfrica) NO Ministerio de Ciencia e Innovación (MICINN), España NO Ministerio de Economía y Competitividad (MINECO), España DS Docta Complutense RD 15 may 2024