Filtering out the cosmological constant in the Palatini formalism of modified gravity

General Relativity and Gravitation

Volumn 43, Issue 6, 2011, Pages 1733-1757

  Bauer, Florian ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

Cosmological constant; Dark energy; Modified gravity; Palatini formalism; Vacuum energy

Indexed keywords

EID: 79955787372     PISSN: 00017701     EISSN: 15729532     Source Type: Journal    
DOI: 10.1007/s10714-011-1153-2     Document Type: Article

References (63)

1. Bauer F., Sola J., Stefancic H.: Dynamically avoiding fine-tuning the cosmological constant: the 'Relaxed Universe'. JCAP 1012, 029 (2010) arXiv: 1006. 3944 [hep-th].
2. Weinberg S.: The cosmological constant problem. Rev. Mod. Phys. 61, 1-23 (1989).
3. Bertolami O.: The cosmological constant problem: a user's guide. Int. J. Mod. Phys. D 18, 2303-2310 (2009) arXiv: 0905. 3110 [gr-qc].
4. WMAP Collaboration, Spergel D. N. etal.: Wilkinson Microwave Anisotropy Probe (WMAP) three year results: implications for cosmology. Astrophys. J. Suppl. 170, 377 (2007) arXiv: astro-ph/0603449.
5. Λ, and w from an independent set of eleven high-redshift supernovae observed with HST. Astrophys. J. 598, 102 (2003) arXiv: astro-ph/0309368.
6. SupernovaSearch Team Collaboration., Riess A. G. etal.: Type Ia supernova discoveries at z>1 from the hubble space telescope: evidence for past deceleration and constraints on dark energy evolution. Astrophys. J. 607, 665-687 (2004) arXiv: astro-ph/0402512.
7. Carroll S. M.: The cosmological constant. Living Rev. Rel. 4, 1 (2001) arXiv: astro-ph/0004075.
8. Peebles P. J. E., Ratra B.: The cosmological constant and dark energy. Rev. Mod. Phys. 75, 559-606 (2003) arXiv: astro-ph/0207347.
9. Padmanabhan T.: Cosmological constant: the weight of the vacuum. Phys. Rept. 380, 235-320 (2003) arXiv: hep-th/0212290.
10. Nojiri S., Odintsov S. D.: Introduction to modified gravity and gravitational alternative for dark energy. ECONF C 0602061, 06 (2006) arXiv: hep-th/0601213.
11. Copeland E. J., Sami M., Tsujikawa S.: Dynamics of dark energy. Int. J. Mod. Phys. D 15, 1753-1936 (2006) arXiv: hep-th/0603057.
12. Stefancic H.: The solution of the cosmological constant problem from the inhomogeneous equation of state-a hint from modified gravity?. Phys. Lett. B 670, 246-253 (2009) arXiv: 0807. 3692 [gr-qc].
13. Grande J., Sola J., Stefancic H.: LXCDM: a cosmon model solution to the cosmological coincidence problem?. JCAP 0608, 011 (2006) arXiv: gr-qc/0604057.
14. Bauer F., Sola J., Stefancic H.: Relaxing a large cosmological constant. Phys. Lett. B 678, 427-433 (2009) arXiv: 0902. 2215 [hep-th].
15. Bauer F.: Perturbations in the relaxation mechanism for a large cosmological constant. Class. Quant. Grav. 27, 055001 (2010) arXiv: 0909. 2237 [gr-qc].
16. Bonanno A., Reuter M.: Cosmology with self-adjusting vacuum energy density from a renormalization group fixed point. Phys. Lett. B 527, 9-17 (2002) arXiv: astro-ph/0106468.
17. Nobbenhuis S.: Categorizing different approaches to the cosmological constant problem. Found. Phys. 36, 613-680 (2006) arXiv: gr-qc/0411093.
18. Barr S. M., Ng S.-P., Scherrer R. J.: Classical cancellation of the cosmological constant re-considered. Phys. Rev. D 73, 063530 (2006) arXiv: hep-ph/0601053.
19. Diakonos F. K., Saridakis E. N.: A statistical solution to the cosmological constant problem in the brane world. JCAP 0902, 030 (2009) arXiv: 0708. 3143 [hep-th].
20. Klinkhamer F. R., Volovik G. E.: Self-tuning vacuum variable and cosmological constant. Phys. Rev. D 77, 085015 (2008) arXiv: 0711. 3170 [gr-qc].
21. Batra P., Hinterbichler K., Hui L., Kabat D. N.: Pseudo-redundant vacuum energy. Phys. Rev. D 78, 043507 (2008) arXiv: 0801. 4526 [hep-th].
22. Dvali G., Hofmann S., Khoury J.: Degravitation of the cosmological constant and graviton width. Phys. Rev. D 76, 084006 (2007) arXiv: hep-th/0703027.
23. Patil S. P.: Degravitation, inflation and the cosmological constant as an afterglow. JCAP 0901, 017 (2009) arXiv: 0801. 2151 [hep-th].
24. Demir D. A.: Vacuum energy as the origin of the gravitational constant. Found. Phys. 39, 1407-1425 (2009) arXiv: 0910. 2730 [hep-th].
25. Hassan S. F., Hofmann S., von Strauss M.: Brane induced gravity, its ghost and the cosmological constant problem. JCAP 1101, 020 (2011) arXiv: 1007. 1263 [hep-th].
26. Unruh W. G.: A unimodular theory of canonical quantum gravity. Phys. Rev. D40, 1048 (1989).
27. Henneaux M., Teitelboim C.: The cosmological constant and general covariance. Phys. Lett. B222, 195-199 (1989).
28. Ng Y. J., van Dam H.: Possible solution to the cosmological constant problem. Phys. Rev. Lett. 65, 1972-1974 (1990).
29. Ng Y. J., van Dam H.: Unimodular theory of gravity and the cosmological constant. J. Math. Phys. 32, 1337-1340 (1991).
30. Smolin L.: The quantization of unimodular gravity and the cosmological constant problem. Phys. Rev. D 80, 084003 (2009) arXiv: 0904. 4841 [hep-th].
31. Bauer F., Sola J., Stefancic H.: The Relaxed Universe: towards solving the cosmological constant problem dynamically from an effective action functional of gravity. Phys. Lett. B 688, 269-272 (2010) arXiv: 0912. 0677 [hep-th].
32. Vollick D. N.: On the viability of the Palatini form of 1/R gravity. Class. Quant. Grav. 21, 3813-3816 (2004) arXiv: gr-qc/0312041.
33. Allemandi G., Borowiec A., Francaviglia M.: Accelerated cosmological models in Ricci squared gravity. Phys. Rev. D 70, 103503 (2004) arXiv: hep-th/0407090.
34. Sotiriou T. P.: The nearly Newtonian regime in non-linear theories of gravity. Gen. Relativ. Gravit. 38, 1407-1417 (2006) arXiv: gr-qc/0507027.
35. Barausse E., Sotiriou T. P., Miller J. C.: Curvature singularities, tidal forces and the viability of Palatini f(R) gravity. Class. Quant. Grav. 25, 105008 (2008) arXiv: 0712. 1141 [gr-qc].
36. Li B., Barrow J. D., Mota D. F.: The cosmology of Ricci-tensor-squared gravity in the Palatini variational approach. Phys. Rev. D 76, 104047 (2007) arXiv: 0707. 2664 [gr-qc].
37. Sotiriou T. P., Faraoni V.: f(R) theories of gravity. Rev. Mod. Phys. 82, 451-497 (2010) arXiv: 0805. 1726 [gr-qc].
38. Exirifard Q., Sheikh-Jabbari M. M.: Lovelock gravity at the crossroads of Palatini and metric formulations. Phys. Lett. B 661, 158-161 (2008) arXiv: 0705. 1879 [hep-th].
39. Tsujikawa S., Uddin K., Tavakol R.: Density perturbations in f(R) gravity theories in metric and Palatini formalisms. Phys. Rev. D 77, 043007 (2008) arXiv: 0712. 0082 [astro-ph].
40. Bauer F., Demir D. A.: Inflation with non-minimal coupling: metric vs. Palatini formulations. Phys. Lett. B 665, 222-226 (2008) arXiv: 0803. 2664 [hep-ph].
41. Borunda M., Janssen B., Bastero-Gil M.: Palatini versus metric formulation in higher curvature gravity. JCAP 0811, 008 (2008) arXiv: 0804. 4440 [hep-th].
42. Capozziello, S., De Laurentis, M., Faraoni, V.: A bird's eye view of f(R)-gravity. Invited Review for The Special Issue in Cosmology, The Open Astronomy Journal, Eds. S. D. Odintsov etal. (2009). arXiv: 0909. 4672 [gr-qc].
43. De Felice A., Tsujikawa S.: f(R) theories. Living Rev. Rel. 13, 3 (2010) arXiv: 1002. 4928 [gr-qc].
44. Goenner H. F. M.: Alternative to the Palatini method: a new variational principle. Phys. Rev. D 81, 124019 (2010) arXiv: 1003. 5532 [gr-qc].
45. Meng X.-H., Wang P.: Gravitational potential in Palatini formulation of modified gravity. Gen. Relativ. Gravit. 36, 1947-1954 (2004) arXiv: gr-qc/0311019.
46. Sotiriou T. P.: Constraining f(R) gravity in the Palatini formalism. Class. Quant. Grav. 23, 1253-1267 (2006) arXiv: gr-qc/0512017.
47. Li B., Mota D. F., Shaw D. J.: Indistinguishable macroscopic behaviour of Palatini gravities and general relativity. Class. Quant. Grav. 26, 055018 (2009) arXiv: 0801. 0603 [gr-qc].
48. Li B., Mota D. F., Shaw D. J.: Microscopic and macroscopic behaviors of palatini modified gravity theories. Phys. Rev. D 78, 064018 (2008) arXiv: 0805. 3428 [gr-qc].
49. Olmo G. J., Sanchis-Alepuz H., Tripathi S.: Dynamical aspects of generalized Palatini theories of gravity. Phys. Rev. D 80, 024013 (2009) arXiv: 0907. 2787 [gr-qc].
50. Barragan C., Olmo G. J.: Isotropic and anisotropic bouncing cosmologies in Palatini gravity. Phys. Rev. D 82, 084015 (2010) arXiv: 1005. 4136 [gr-qc].
51. Olmo G. J., Singh P.: Effective action for loop quantum cosmology a la Palatini. JCAP 0901, 030 (2009) arXiv: 0806. 2783 [gr-qc].
52. Vitagliano V., Sotiriou T. P., Liberati S.: The dynamics of generalized Palatini theories of gravity. Phys. Rev. D 82, 084007 (2010) arXiv: 1007. 3937 [gr-qc].
53. Woodard R. P.: Avoiding dark energy with 1/R modifications of gravity. Lect. Notes Phys. 720, 403-433 (2007) arXiv: astro-ph/0601672.
54. Bekenstein J. D.: The relation between physical and gravitational geometry. Phys. Rev. D 48, 3641-3647 (1993) arXiv: gr-qc/9211017.
55. Bekenstein J. D.: Relativistic gravitation theory for the MOND paradigm. Phys. Rev. D 70, 083509 (2004) arXiv: astro-ph/0403694.
56. Zumalacarregui M., Koivisto T. S., Mota D. F., Ruiz-Lapuente P.: Disformal scalar fields and the dark sector of the universe. JCAP 1005, 038 (2010) arXiv: 1004. 2684 [astro-ph. CO].
57. Steigman, G.: Primordial nucleosynthesis: the predicted and observed abundances and their consequences. Revised version to appear in the Proceedings of the 11th Symposium on Nuclei in the Cosmos (NIC XI), to be published by Proceedings of Science (PoS, SISSA) (2010). arXiv: 1008. 4765 [astro-ph. CO].
58. Izotov Y. I., Thuan T. X.: The primordial abundance of 4He: evidence for non-standard big bang nucleosynthesis. Astrophys. J. 710, L67-L71 (2010) arXiv: 1001. 4440 [astro-ph. CO].
59. Gonzalez-Garcia M. C., Maltoni M., Salvado J.: Robust cosmological bounds on neutrinos and their combination with oscillation results. JHEP 08, 117 (2010) arXiv: 1006. 3795 [hep-ph].
60. Hamann J., Hannestad S., Raffelt G. G., Tamborra I., Wong Y. Y. Y.: Cosmology seeking friendship with sterile neutrinos. Phys. Rev. Lett. 105, 181301 (2010) arXiv: 1006. 5276 [hep-ph].
61. Einstein A., Straus E. G.: The influence of the expansion of space on the gravitation fields surrounding the individual stars. Rev. Mod. Phys. 17, 120-124 (1945).
62. Balbinot R., Bergamini R., Comastri A.: Solution of the Einstein-strauss problem with a lambda term. Phys. Rev. D38, 2415-2418 (1988).
63. Barausse E., Sotiriou T. P., Miller J. C.: A no-go theorem for polytropic spheres in Palatini f(R) gravity. Class. Quant. Grav. 25, 062001 (2008) arXiv: gr-qc/0703132.