Covariant effective action for loop quantum cosmology la Palatini

Journal of Cosmology and Astroparticle Physics

Volumn 2009, Issue 1, 2009, Pages

  Olmo, Gonzalo J ^a   Singh, Parampreet ^b  

^a INSTITUTO DE ESTRUCTURA DE LA MATERIA   (Spain)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

Cosmological perturbation theory; Physics of the early universe; Quantum gravity phenomenology

Indexed keywords

EID: 62649170600     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2009/01/030     Document Type: Article

References (47)

1. V.F. Mukhanov and R.H. Brandenberger, 1992 A Nonsingular universe, Phys. Rev. Lett. 68 1969
2. A. Ashtekar and J. Lewandowski, 2004 Background independent quantum gravity: A Status report, Class. Quant. Grav. 21 R53 [gr-qc/0404018]
3. C. Rovelli, 2004 Quantum Gravity, Cambridge University Press, Cambridge U.K.
4. T. Thiemann, 2007 Modern canonical quantum general relativity, Cambridge University Press, Cambridge U.K.
5. A. Ashtekar, 2007 An introduction to loop quantum gravity through cosmology, Nuovo Cim. B 122 135 [gr-qc/0702030]
6. A. Ashtekar, T. Pawlowski and P. Singh, 2006 Quantum nature of the big bang, Phys. Rev. Lett. 96 141301 [gr-qc/0602086]
7. A. Ashtekar, T. Pawlowski and P. Singh, 2006 Quantum nature of the big bang: improved dynamics, Phys. Rev. D 74 084003 [gr-qc/0607039]
8. A. Ashtekar, A. Corichi and P. Singh, 2008 On the robustness of key features of loop quantum cosmology, Phys. Rev. D 77 024046 [arXiv:0710.3565]
9. J. Willis, 2004 On the low-energy ramifications and a mathematical extension of loop quantum gravity, Ph.D Dissertation, The Pennsylvania State University
10. V. Taveras, 2008 Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field, Phys. Rev. D 78 064072 [arXiv:0807.3325]
11. J. Samuel, 2000 Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?, Class. Quant. Grav. 17 L141 [gr-qc/0005095]
12. D.N. Vollick, 2003 Curvature Corrections as the Source of the Cosmological Acceleration, Phys. Rev. D 68 063510 [astro-ph/0306630]
13. S. Capozziello, V.F. Cardone, S. Carloni and A. Troisi, 2003 Curvature quintessence matched with observational data, Int. J. Mod. Phys. D 12 1969 [astro-ph/0307018]
14. T. Chiba, 2003 1/R gravity and scalar-tensor gravity, Phys. Lett. B 575 1 [astro-ph/0307338]
15. D.N. Vollick, 2004 On the viability of the Palatini form of 1/R gravity, Class. Quant. Grav. 21 3813 [gr-qc/0312041]
16. E.E. Flanagan, 2004 The conformal frame freedom in theories of gravitation, Class. Quant. Grav. 21 3817 [gr-qc/0403063]
17. X. Meng and P. Wang, 2004 Gravitational potential in Palatini formulation of modified gravity, Gen. Rel. Grav. 36 1947 [gr-qc/0311019]
18. G. Allemandi et al., 2005 Post-Newtonian parameters from alternative theories of gravity, Gen. Rel. Grav. 37 1891 [gr-qc/0506123]
19. T.P. Sotiriou, 2006 The nearly Newtonian regime in non-linear theories of gravity, Gen. Rel. Grav. 38 1407 [gr-qc/0507027]
20. B. Li and M.C. Chu, 2006 CMB and matter power spectra of early f(R) cosmology in Palatini formalism, Phys. Rev. D 74 104010 [astro-ph/0610486]
21. M. Amarzguioui et al., 2006 Cosmological constraints on f(r) gravity theories within the palatini approach, Astron. Astrophys. 454 707 [astro-ph/0510519]
22. N.J. Poplawski, 2006 Interacting dark energy in f(R) gravity, Phys. Rev. D 74 084032 [gr-qc/0607124]
23. T.P. Sotiriou, 2006 Constraining f(R) gravity in the Palatini formalism, Class. Quant. Grav. 23 1253 [gr-qc/0512017]
24. T.P. Sotiriou, 2006 Unification of inflation and cosmic acceleration in the Palatini formalism, Phys. Rev. D 73 063515 [gr-qc/0509029]
25. T. Koivisto, 2006 The matter power spectrum in f(R) gravity, Phys. Rev. D73 083517 [astro-ph/0602031]
26. T. Koivisto, 2006 Covariant conservation of energy momentum in modified gravities, Class. Quant. Grav. 23 4289 [gr-qc/0505128]
27. M.L. Ruggiero and L. Iorio, 2007 Solar System planetary orbital motions and f(R) Theories of Gravity, J. Cosmol. Astropart. Phys. JCAP01(2007)010 [gr-qc/0607093]
28. G.J. Olmo, 2007 Limit to general relativity in f(R) theories of gravity, Phys. Rev. D 75 023511 [gr-qc/0612047]
29. B. Li, J.D. Barrow and D.F. Mota, 2007 The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach, Phys. Rev. D 76 104047 [arXiv:0707.2664]
30. S. Fay, R. Tavakol and S. Tsujikawa, 2007 f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints, Phys. Rev. D 75 063509 [astro-ph/0701479]
31. T.P. Sotiriou, 2008 The viability of theories with matter coupled to the Ricci scalar, Phys. Lett. B 664 225 [arXiv:0805.1160]
32. D. Saez-Gomez, Modified f(R) gravity from scalar-tensor theory and inhomogeneous EoS dark energy, arXiv:0809.1311
33. B. Li, D.F. Mota and D.J. Shaw, 2008 Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories, Phys. Rev. D 78 064018 [arXiv:0805.3428]
34. V. Faraoni, f(R) gravity: successes and challenges, arXiv:0810.2602
35. E. Barausse, T.P. Sotiriou and J.C. Miller, 2008 A No-go theorem for polytropic spheres in Palatini f(R) gravity, Class. Quant. Grav. 25 062001 [gr-qc/0703132]
36. E. Barausse, T.P. Sotiriou and J.C. Miller, 2008 Curvature singularities, tidal forces and the viability of Palatini f(R) gravity, Class. Quant. Grav. 25 105008 [arXiv:0712.1141]
37. G.J. Olmo, 2007 Violation of the equivalence principle in modified theories of gravity, Phys. Rev. Lett. 98 061101 [gr-qc/0612002]
38. E.E. Flanagan, 2004 Palatini form of 1/R gravity, Phys. Rev. Lett. 92 071101 [astro-ph/0308111]
39. G.J. Olmo, 2008 Hydrogen atom in Palatini theories of gravity, Phys. Rev. D 77 084021 [arXiv:0802.4038]
40. G.J. Olmo, 2008 Reexamination of polytropic spheres in Palatini f(R) gravity Phys. Rev. D 78 104026
41. G.J. Olmo, 2005 The gravity lagrangian according to solar system experiments, Phys. Rev. Lett. 95 261102 [gr-qc/0505101]
42. G.J. Olmo, 2005 Post-Newtonian constraints on f(R) cosmologies in metric and Palatini formalism, Phys. Rev. D 72 083505
43. P. Singh, K. Vandersloot and G.V. Vereshchagin, 2006 Non-singular bouncing universes in loop quantum cosmology, Phys. Rev. D 74 043510 [gr-qc/0606032]
44. N. Lanahan-Tremblay and V. Faraoni, 2007 The Cauchy problem of f(R) gravity, Class. Quant. Grav. 24 5667 [arXiv:0709.4414]
45. K. Krasnov, 2007 Non-metric gravity: a status report, Mod. Phys. Lett. A 22 3013 [arXiv:0711.0697]
46. F.W. Hehl, 1995 Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance, Phys. Rept. 258 1 [gr-qc/9402012]
47. E. Kröner, 1990 The differential geometry of elementary point and line defects in Bravais crystals, Int. J. Theor. Phys. 29 1219