No Access

Some recent results on Ricci-based gravity theories

Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia – CSIC, Universidad de Valencia, Burjassot 46100, Valencia, Spain

Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, C.P. 6030, Fortaleza, CE 60455-760, Brazil

E-mail Address: gonzalo.olmo@uv.es

Search for more papers by this author

and

Diego Rubiera-Garcia

https://orcid.org/0000-0003-3984-9864

Departamento de Física Teórica and IPARCOS, Universidad Complutense de Madrid, Madrid E-28040, Spain

E-mail Address: drubiera@ucm.es

Search for more papers by this author

https://doi.org/10.1142/S0218271822400120Cited by:10 (Source: Crossref)

This article is part of the issue:

Selected papers of the 4th PU International Conference on Gravitation and Cosmology
Guest editors: Muhammad Sharif, Francesco De Paolis, Gonzalo J. Olmo and M. Zaeem Ul Haq Bhatti

Abstract

In this paper, metric-affine theories in which the gravity Lagrangian is built using (projectively invariant) contractions of the Ricci tensor with itself and with the metric (Ricci-based gravity theories, or RBGs for short) are reviewed. The goal is to provide a contextualized and coherent presentation of some recent results. In particular, we focus on the correspondence that exists between the field equations of these theories and those of general relativity, and comment on how this can be used to build new solutions of physical interest. We also discuss the formalism of junction conditions in the $f (R)$ case, and provide a brief summary on current experimental and observational bounds on model parameters.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. Supernova Search Team (A. G. Riess et al.), Astron. J. 116 (1998) 1009. Crossref, Web of Science, Google Scholar
2. Supernova Cosmology Project Collab. (S. Perlmutter et al.), Astrophys. J. 517 (1999) 565. Crossref, Web of Science, Google Scholar
3. A. G. Riess et al., Astrophys. J. 861 (2018) 126. Crossref, Web of Science, ADS, Google Scholar
4. P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75 (2003) 559. Crossref, Web of Science, ADS, Google Scholar
5. A. Joyce, B. Jain, J. Khoury and M. Trodden, Phys. Rep. 568 (2015) 1. Crossref, Web of Science, ADS, Google Scholar
6. WMAP Collab. (G. Hinshaw et al.), Astrophys. J. Suppl. 208 (2013) 19. Crossref, Web of Science, Google Scholar
7. Planck Collab. (P. A. R. Ade et al.), Astron. Astrophys. 571 (2014) A16. Crossref, Web of Science, Google Scholar
8. Planck Collab. (P. A. R. Ade et al.), Astron. Astrophys. 594 (2016) A13. Crossref, Web of Science, Google Scholar
9. Planck Collab. (N. Aghanim et al.), Astron. Astrophys. 641 (2020) A6 [Erratum 652 (2021) C4]. Google Scholar
10. BOSS Collab. (S. Alam et al.), Mon. Not. R. Astron. Soc. 470 (2017) 2617. Crossref, Web of Science, Google Scholar
11. DES Collab. (M. A. Troxel et al.), Phys. Rev. D 98 (2018) 043528. Crossref, Web of Science, Google Scholar
12. P. Bull et al., Phys. Dark Univ. 12 (2016) 56. Crossref, Web of Science, ADS, Google Scholar
13. G. J. Olmo, Int. J. Mod. Phys. D 20 (2011) 413. Link, Web of Science, ADS, Google Scholar
14. A. De Felice and S. Tsujikawa, Living Rev. Relativ. 13 (2010) 3. Crossref, Web of Science, ADS, Google Scholar
15. L. E. Parker and D. Toms, Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity (Cambridge University Press, Cambridge, 2009). Crossref, Google Scholar
16. T. Ortin, Gravity and Strings (Cambridge University Press, Cambridge, 2015). Crossref, Google Scholar
17. S. Capozziello and M. De Laurentis, Phys. Rep. 509 (2011) 167. Crossref, Web of Science, ADS, Google Scholar
18. T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Phys. Rep. 513 (2012) 1. Crossref, Web of Science, ADS, Google Scholar
19. S. Nojiri, S. D. Odintsov and V. K. Oikonomou, Phys. Rep. 692 (2017) 1. Crossref, Web of Science, ADS, Google Scholar
20. L. Heisenberg, Phys. Rep. 796 (2019) 1. Crossref, Web of Science, ADS, Google Scholar
21. T. Harko and F. S. N. Lobo, Extensions of f(R) Gravity: Curvature-Matter Couplings and Hybrid Metric-Palatini Theory (Cambridge University Press, Cambridge, 2019). Google Scholar
22. C. Barragan, G. J. Olmo and H. Sanchis-Alepuz, Phys. Rev. D 80 (2009) 024016. Crossref, Web of Science, ADS, Google Scholar
23. C. Barragan and G. J. Olmo, Phys. Rev. D 82 (2010) 084015. Crossref, Web of Science, ADS, Google Scholar
24. D. N. Vollick, Phys. Rev. D 69 (2004) 064030. Crossref, Web of Science, ADS, Google Scholar
25. M. Banados and P. G. Ferreira, Phys. Rev. Lett. 105 (2010) 011101 [Erratum-ibid. 113 (2014) 119901]. Google Scholar
26. J. Beltran Jimenez, L. Heisenberg and G. J. Olmo, J. Cosmol. Astropart. Phys. 11 (2014) 004. Crossref, Web of Science, Google Scholar
27. H. Azri, K. Y. Ekşi, C. Karahan and S. Nasri, Phys. Rev. D 104(6) (2021) 064049, https://doi.org/10.1103/PhysRevD.104.064049 [arXiv:2108.13460 [gr-qc]]. Crossref, Web of Science, ADS, Google Scholar
28. L. P. Eisenhart, Non-Riemannian Geometry, American Mathematical Society Colloquium Publications (American Mathematical Society, Rhode Island, 1927). Crossref, Google Scholar
29. J. Beltrán Jiménez and A. Delhom, Eur. Phys. J. C 79 (2019) 656. Crossref, Web of Science, ADS, Google Scholar
30. J. Beltrán Jiménez and A. Delhom, Eur. Phys. J. C 80 (2020) 585. Crossref, Web of Science, ADS, Google Scholar
31. C. Deffayet, S. Mukohyama and A. Vikman, Phys. Rev. Lett. 128 (2022) 041301. Crossref, Web of Science, ADS, Google Scholar
32. V. I. Afonso, C. Bejarano, J. Beltran Jimenez, G. J. Olmo and E. Orazi, Class. Quantum Grav. 34 (2017) 235003. Crossref, Web of Science, ADS, Google Scholar
33. A. Delhom, Eur. Phys. J. C 80 (2020) 728. Crossref, Web of Science, ADS, Google Scholar
34. J. Beltrán Jiménez, D. De Andrés and A. Delhom, Class. Quant. Grav. 37(22) (2020) 225013, https://doi.org/10.1088/1361-6382/abb923 [arXiv:2006.07406 [gr-qc]]. Crossref, Web of Science, ADS, Google Scholar
35. M. Ferraris, M. Francaviglia and I. Volovich, Class. Quantum Grav. 11 (1994) 1505. Crossref, Web of Science, ADS, Google Scholar
36. A. Borowiec, M. Ferraris, M. Francaviglia and I. Volovich, Class. Quantum Grav. 15 (1998) 43. Crossref, Web of Science, ADS, Google Scholar
37. V. I. Afonso, G. J. Olmo, E. Orazi and D. Rubiera-Garcia, Phys. Rev. D 99 (2019) 044040. Crossref, Web of Science, ADS, Google Scholar
38. V. I. Afonso, G. J. Olmo, E. Orazi and D. Rubiera-Garcia, J. Cosmol. Astropart. Phys. 12 (2019) 044. Crossref, Web of Science, ADS, Google Scholar
39. A. I. Janis, E. T. Newman and J. Winicour, Phys. Rev. Lett. 20 (1968) 878. Crossref, Web of Science, ADS, Google Scholar
40. R. B. Magalhães, L. C. B. Crispino and G. J. Olmo, Phys. Rev. D 105(6) (2022) 064007, https://doi.org/10.1103/PhysRevD.105.064007 [arXiv:2203.02712 [gr-qc]]. Crossref, Web of Science, ADS, Google Scholar
41. W. H. Shao, C. Y. Chen and P. Chen, J. Cosmol. Astropart. Phys. 03 (2021) 041. Crossref, Web of Science, ADS, Google Scholar
42. A. Masó-Ferrando, N. Sanchis-Gual, J. A. Font and G. J. Olmo, Class. Quantum Grav. 38 (2021) 194003. Crossref, Web of Science, ADS, Google Scholar
43. J. Beltran Jimenez, L. Heisenberg, G. J. Olmo and D. Rubiera-Garcia, Phys. Rep. 727 (2018) 1. Crossref, Web of Science, ADS, Google Scholar
44. V. I. Afonso, G. J. Olmo, E. Orazi and D. Rubiera-Garcia, Eur. Phys. J. C 78 (2018) 866. Crossref, Web of Science, ADS, Google Scholar
45. G. J. Olmo and D. Rubiera-Garcia, Phys. Rev. D 86 (2012) 044014. Crossref, Web of Science, ADS, Google Scholar
46. A. Delhom, G. J. Olmo and E. Orazi, J. High Energy Phys. 11 (2019) 149. Crossref, Web of Science, ADS, Google Scholar
47. M. Guerrero, G. Mora-Pérez, G. J. Olmo, E. Orazi and D. Rubiera-Garcia, J. Cosmol. Astropart. Phys. 07 (2020) 058. Crossref, Web of Science, ADS, Google Scholar
48. G. J. Olmo, E. Orazi and D. Rubiera-Garcia, Eur. Phys. J. C 80 (2020) 1018. Crossref, Web of Science, ADS, Google Scholar
49. M. Guerrero, G. Mora-Pérez, G. J. Olmo, E. Orazi and D. Rubiera-Garcia, J. Cosmol. Astropart. Phys. 11 (2021) 025. Crossref, Web of Science, ADS, Google Scholar
50. V. I. Afonso, G. Mora-Pérez, G. J. Olmo, E. Orazi and D. Rubiera-Garcia, arXiv:2111.12381 [gr-qc]. Google Scholar
51. W. Israel, Nuovo Cimento B 44 (1966) 1. Crossref, Web of Science, ADS, Google Scholar
52. G. Darmois, Mémorial des Sciences Mathématiques, Fascicule 25 (Gauthier-Villars, Paris, 1927). Google Scholar
53. G. J. Olmo and D. Rubiera-Garcia, Class. Quantum Grav. 37 (2020) 215002. Crossref, Web of Science, ADS, Google Scholar
54. J. M. M. Senovilla, Phys. Rev. D 88 (2013) 064015. Crossref, Web of Science, ADS, Google Scholar
55. N. Deruelle, M. Sasaki and Y. Sendouda, Prog. Theor. Phys. 119 (2008) 237. Crossref, ADS, Google Scholar
56. A. Padilla and V. Sivanesan, J. High Energy Phys. 1208 (2012) 122. ADS, Google Scholar
57. S. Vignolo, R. Cianci and S. Carloni, Class. Quantum Grav. 35 (2018) 095014. Crossref, Web of Science, Google Scholar
58. A. de la Cruz-Dombriz, P. K. S. Dunsby and D. Saez-Gomez, J. Cosmol. Astropart. Phys. 1412 (2014) 048. Crossref, Web of Science, ADS, Google Scholar
59. E. Barausse, T. P. Sotiriou and J. C. Miller, Class. Quantum Grav. 25 (2008) 062001. Crossref, Web of Science, Google Scholar
60. E. Barausse, T. P. Sotiriou and J. C. Miller, Class. Quantum Grav. 25 (2008) 105008. Crossref, Web of Science, ADS, Google Scholar
61. E. Barausse, T. P. Sotiriou and J. C. Miller, EAS Publ. Ser. 30 (2008) 189. Crossref, Google Scholar
62. G. J. Olmo, Phys. Rev. D 78 (2008) 104026. Crossref, Web of Science, ADS, Google Scholar
63. F. S. N. Lobo, G. J. Olmo, E. Orazi, D. Rubiera-Garcia and A. Rustam, Phys. Rev. D 102 (2020) 104012. Crossref, Web of Science, ADS, Google Scholar
64. M. Guerrero, G. J. Olmo and D. Rubiera-Garcia, J. Cosmol. Astropart. Phys. 04 (2021) 066. Crossref, Web of Science, ADS, Google Scholar
65. G. J. Olmo, Phys. Rev. Lett. 95 (2005) 261102. Crossref, Web of Science, ADS, Google Scholar
66. G. J. Olmo, Phys. Rev. D 72 (2005) 083505. Crossref, Web of Science, ADS, Google Scholar
67. P. P. Avelino, J. Cosmol. Astropart. Phys. 11 (2012) 022. Crossref, Web of Science, ADS, Google Scholar
68. G. J. Olmo, D. Rubiera-Garcia and A. Wojnar, Phys. Rev. D 100 (2019) 044020. Crossref, Web of Science, ADS, Google Scholar
69. G. J. Olmo, D. Rubiera-Garcia and A. Wojnar, Phys. Rep. 876 (2020) 1. Crossref, Web of Science, ADS, Google Scholar
70. G. J. Olmo, D. Rubiera-Garcia and A. Wojnar, Phys. Rev. D 104 (2021) 024045. Crossref, Web of Science, ADS, Google Scholar
71. CANTATA (E. N. Saridakis et al.), arXiv:2105.12582 [gr-qc]. Google Scholar
72. J. B. Jiménez, A. Delhom, G. J. Olmo and E. Orazi, Phys. Lett. B 820 (2021) 136479. Crossref, Web of Science, Google Scholar
73. A. D. I. Latorre, G. J. Olmo and M. Ronco, Phys. Lett. B 780 (2018) 294. Crossref, Web of Science, ADS, Google Scholar
74. A. Delhom, V. Miralles and A. Peñuelas, Eur. Phys. J. C 80 (2020) 340. Crossref, Web of Science, ADS, Google Scholar
75. D. Benisty, G. J. Olmo and D. Rubiera-Garcia, Symmetry 13 (2021) 2108. Crossref, Web of Science, ADS, Google Scholar