RT Journal Article T1 A few cosmological implications of tensor nonlocalities A1 Ferreira, Pedro G. A1 López Maroto, Antonio AB We consider nonlocal gravity theories that include tensor nonlocalities. We show that in the cosmological context, the tensor nonlocalities, unlike scalar ones, generically give rise to growing modes. An explicit example with quadratic curvature terms is studied in detail. Possible consequences for recent nonlocal cosmological models proposed in the literature are also discussed. PB American Physical Society SN 1550-7998 YR 2013 FD 2013-12-02 LK https://hdl.handle.net/20.500.14352/33704 UL https://hdl.handle.net/20.500.14352/33704 LA eng NO [1] T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, Phys. Rep. 513, 1 (2012).[2] T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010).[3] C. Brans and R. Dicke, Phys. Rev. 124, 925 (1961).[4] G.W. Horndeski, Int. J. Theor. Phys. 10, 363 (1974).[5] T. G. Zlosnik, P. G. Ferreira, and G. D. Starkman, Phys. Rev. D 75, 044017 (2007).[6] J. Beltrán Jiménez and A. L. Maroto, Phys. Rev. D 80, 063512 (2009).[7] M. Bañados, P. G. Ferreira, and C. Skordis, Phys. Rev. D 79, 063511 (2009).[8] M. Bañados and P. G. Ferreira, Phys. Rev. Lett. 105, 011101 (2010).[9] C. de Rham, G. Gabadadze, and A. J. Tolley, Phys. Rev. Lett. 106, 231101 (2011).[10] S. F. Hassan and R. A. Rosen, J. High Energy Phys. 02 (2012) 126.[11] A. Barvinsky and G. Vilkovisky, Nucl. Phys. B282, 163 (1987).[12] A. Barvinsky and G. Vilkovisky, Nucl. Phys. B333, 471 (1990).[13] A. Barvinsky and G. Vilkovisky, Nucl. Phys. B333, 512 (1990).[14] A. Barvinsky, Y. Gusev, V. Zhytnikov, and G. Vilkovisky, Classical Quantum Gravity 12, 2157 (1995).[15] D. Capper and M. Duff, Nuovo Cimento A 23, 173 (1974).[16] A. A. Starobinsky, Phys. Lett. 91B, 99 (1980).[17] P. Ade et al. (Planck Collaboration), arXiv:1303.5076.[18] A. Dolgov, Phys. Rev. D 48, 2499 (1993).[19] C. Wetterich, Nucl. Phys. B302, 668 (1988).[20] T. Banks, Nucl. Phys. B309, 493 (1988).[21] N. Tsamis and R. Woodard, Ann. Phys. (N.Y.) 267, 145 (1998).[22] D. Espriu, T. Multamaki, and E. C. Vagenas, Phys. Lett. B 628, 197 (2005).[23] H.W. Hamber and R. M. Williams, Phys. Rev. D 72, 044026 (2005).[24] S. Deser and R. Woodard, Phys. Rev. Lett. 99, 111301 (2007).[25] S. Deser and R. Woodard, arXiv:1307.6639.[26] S. Nojiri and S. D. Odintsov, Phys. Lett. B 659, 821 (2008).[27] S. Jhingan, S. Nojiri, S.D. Odintsov, M. Sami, I. Thongkool, and S. Zerbini, Phys. Lett. B 663, 424 (2008).[28] T. Koivisto, Phys. Rev. D 77, 123513 (2008).[29] S. Nojiri, S. D. Odintsov, M. Sasaki, and Y.-l. Zhang, Phys. Lett. B 696, 278 (2011).[30] E. Elizalde, E. O. Pozdeeva, S.Y. Vernov, and Y.-l. Zhang, J. Cosmol. Astropart. Phys. 07 (2013) 034.[31] M. Jaccard, M. Maggiore, and E. Mitsou, Phys. Rev. D 88, 044033 (2013).[32] T. Biswas, E. Gerwick, T. Koivisto, and A. Mazumdar, Phys. Rev. Lett. 108, 031101 (2012).[33] M. Maggiore, arXiv:1307.3898.[34] N. Arkani-Hamed, S. Dimopoulos, G. Dvali, and G. Gabadadze, arXiv:hep-th/0209227.[35] I. Drummond and S. Hathrell, Phys. Rev. D 22, 343 (1980).[36] G. Shore, Nucl. Phys. B460, 379 (1996).[37] R. Riegert, Phys. Lett. 134B, 56 (1984).[38] J. S. Schwinger, Phys. Rev. 82, 664 (1951).[39] B. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965).[40] I. Avramidi, Nucl. Phys. B355, 712 (1991).[41] I. Avramidi, J. Math. Phys. (N.Y.) 37, 374 (1996).[42] I. G. Avramidi, Adv. Theor. Math. Phys. 14, 309 (2010).[43] A. Barvinsky, Phys. Rev. D 65, 062003 (2002).[44] A. O. Barvinsky, A.Y. Kamenshchik, A. Rathke, and C. Kiefer, Phys. Rev. D 67, 023513 (2003).[45] C. Deffayet and R. Woodard, J. Cosmol. Astropart. Phys. 08 (2009) 023.[46] S. Park and S. Dodelson, Phys. Rev. D 87, 024003 (2013).[47] A. S. Koshelev, Classical Quantum Gravity 30, 155001 (2013).[48] M. Soussa and R. P. Woodard, Classical Quantum Gravity 20, 2737 (2003).[49] L. Modesto and S. Tsujikawa, Phys. Lett. B 727, 48 (2013).[50] A. Barvinsky, Phys. Lett. B 572, 109 (2003).[51] C. Misner, K. Thorne, and J. Wheeler, Gravitation (Freeman, New York, 1973). NO © 2013 American Physical Society. We are extremely grateful to R. Woodard for his advice and guidance and to Tessa Baker, Joe Conlon, and Johannes Noller for discussions. P. G. F. acknowledges support from Leverhulme, STFC, BIPAC, and the Oxford Martin School and the hospitality of the Higgs Centre in Edinburgh while this paper was being completed. A. L. M. acknowledges support from MICINN (Spain) Projects No. FIS2011-23000 and Consolider-Ingenio MULTIDARK No. CSD2009-00064, the Salvador de Madariaga program, and the hospitality of Oxford BIPAC. NO MICINN (Spain) NO Consolider-Ingenio MULTIDARK NO Leverhulme NO STFC NO Oxford Martin School NO BIPAC DS Docta Complutense RD 1 sept 2024