Abstract
In this chapter we will aim the ambitious task of addressing the burdensome problems of cosmology using the framework of massive gravity. More concrete, we will try to answer the questions of whether or not massive gravity can produce a theoretically reliable self-accelerated geometry and whether or not it can also resolve the cosmological constant problem.
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Notes
- 1.
Recall that we excluded the helicity-1 part since it only appears quadratically.
References
Afshordi N, Geshnizjani G, Khoury J (2009) Do observations offer evidence for cosmological-scale extra dimensions? JCAP 0908:030. doi:10.1088/1475-7516/2009/08/030
D’Amico G, Gabadadze G, Hui L, Pirtskhalava D (2013) Quasidilaton: theory and cosmology. Phys Rev D 87:064037. doi:10.1103/PhysRevD.87.064037. http://link.aps.org/doi/10.1103/PhysRevD.87.064037
Arkani-Hamed N, Dimopoulos S, Dvali G, Gabadadze G (2002) Nonlocal modification of gravity and the cosmological constant problem
Berkhahn F, Dietrich DD, Hofmann S (2010) Self-protection of massive cosmological gravitons. JCAP 1011:018. doi:10.1088/1475-7516/2010/11/018
Burrage C, Seery D (2010) Revisiting fifth forces in the Galileon model. JCAP 1008:011. doi:10.1088/1475-7516/2010/08/011
Chan KC, Scoccimarro R (2009) Large-scale structure in brane-induced gravity II. Numerical simulations. Phys Rev D 80:104005. doi:10.1103/PhysRevD.80.104005
D’Amico G, de Rham C, Dubovsky S, Gabadadze G, Pirtskhalava D, Tolley AJ (2011) Massive cosmologies. Phys Rev D 84:124046. doi:10.1103/PhysRevD.84.124046. http://link.aps.org/doi/10.1103/PhysRevD.84.124046
de Rham C (2010) Massive gravity from Dirichlet boundary conditions. Phys Lett B 688:137–141
de Rham C, Dvali G, Hofmann S, Khoury J, Pujolas O et al (2008) Cascading gravity: extending the Dvali-Gabadadze-Porrati model to higher dimension. Phys Rev Lett 100:251603. doi:10.1103/PhysRevLett.100.251603
de Rham C, Khoury J, Tolley AJ (2009) Flat 3-brane with tension in cascading gravity. Phys Rev Lett 103:161601. doi:10.1103/PhysRevLett.103.161601
de Rham C, Gabadadze G (2010) Generalization of the fierz-pauli action. Phys Rev D 82:044020. doi:10.1103/PhysRevD.82.044020
Deffayet C, Dvali GR, Gabadadze G, Vainshtein AI (2002) Nonperturbative continuity in graviton mass versus perturbative discontinuity. Phys Rev D 65:044026. doi:10.1103/PhysRevD.65.044026
Dvali G, Gruzinov A, Zaldarriaga M (2003) The accelerated universe and the moon. Phys Rev D 68:024012. doi:10.1103/PhysRevD.68.024012
Dvali G, Hofmann S, Khoury J (2007) Degravitation of the cosmological constant and graviton width. Phys Rev D 76:084006. doi:10.1103/PhysRevD.76.084006
Dvali G, Gabadadze G, Shifman M (2002) Diluting cosmological constant via large distance modification of gravity. pp 566–581
Dvali G, Gabadadze G, Shifman M (2003) Diluting cosmological constant in infinite volume extra dimensions. Phys Rev D 67:044020. doi:10.1103/PhysRevD.67.044020
Fasiello M, Tolley AJ (2013) Cosmological stability bound in massive gravity and bigravity
Fasiello M, Tolley AJ (2012) Cosmological perturbations in massive gravity and the Higuchi bound. JCAP 1211:035. doi:10.1088/1475-7516/2012/11/035
Grisa L, Sorbo L (2010) Pauli-Fierz gravitons on Friedmann-Robertson-Walker background. Phys Lett B 686:273–278. doi:10.1016/j.physletb.2010.02.072
Gumrukcuoglu AE, Lin C, Mukohyama S (2011) Open FRW universes and self-acceleration from nonlinear massive gravity. JCAP 1111:030. doi:10.1088/1475-7516/2011/11/030
Huang Q-G, Piao Y-S, Zhou S-Y (2012) Mass-varying massive gravity. Phys Rev D 86:124014. doi:10.1103/PhysRevD.86.124014
Lue A, Scoccimarro R, Starkman GD (2004) Probing Newton’s constant on vast scales: DGP gravity, cosmic acceleration and large scale structure. Phys Rev D 69:124015. doi:10.1103/PhysRevD.69.124015
Lue A, Starkman G (2003) Gravitational leakage into extra dimensions: probing dark energy using local gravity. Phys Rev D 67:064002. doi:10.1103/PhysRevD.67.064002
Nicolis A, Rattazzi R, Trincherini E (2009) The Galileon as a local modification of gravity. Phys Rev D 79:064036. doi:10.1103/PhysRevD.79.064036
Nicolis A, Rattazzi R (2004) Classical and quantum consistency of the DGP model. JHEP 0406:059. doi:10.1088/1126-6708/2004/06/059
Scoccimarro R (2009) Large-scale structure in brane-induced gravity I. Perturbation Theory Phys Rev D 80:104006. doi:10.1103/PhysRevD.80.104006
Steven W (1989) The cosmological constant problem. Rev Mod Phys 61:1–23
Vainshtein AI (1972) To the problem of nonvanishing gravitation mass. Phys Lett B 39:393–394. doi:10.1016/0370-2693(72)90147-5
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Heisenberg, L. (2015). Cosmology of Massive Gravity in the Decoupling Limit. In: Theoretical and Observational Consistency of Massive Gravity. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-18935-2_2
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