This paper is available on arxiv under CC 4.0 license.
Authors:
(1) A. Oliveros, Programa de F´ısica, Universidad del Atl´antico;
(2) Mario A. Acero, Programa de F´ısica, Universidad del Atl´antico. Table of Links Abstract and Intro
The f(Q) gravity: a brief review
Cosmological dynamics in late-time
Parameter constraints
Conclusions
Acknowledgments and References Acknowledgements A. O. is supported by Patrimonio Aut´onomo-Fondo Nacional de Financiamiento para la Ciencia, la Tecnolog´ıa y la Innovaci´on Francisco Jos´e de Caldas (MINCIENCIAS-COLOMBIA) Grant No. 110685269447 RC-80740- 465-2020, projects 69723 and 69553. We also thank Ricardo Vega (Universidad del Atl´antico) for helping us with the computer resources of his Laboratory used for the MCMC analyses. References [1] P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75 (2003) 559, [arXiv:astro-ph/0207347 [astro-ph]]. [2] E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15 (2006) 1753, [arXiv:hep-th/0603057 [hep-th]]. [3] K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Astrophys. Space Sci. 342 (2012) 155, [arXiv:1205.3421 [gr-qc]]. [4] S. Nojiri and S. D. Odintsov, Phys. Rept. 505 (2011) 59, [arXiv:1011.0544 [gr-qc]]. [5] T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Phys. Rept. 513 (2012) 1-189, [arXiv:1106.2476 [astro-ph.CO]]. [6] S. Nojiri, S. D. Odintsov and V. K. Oikonomou, Phys. Rept. 692 (2017) 1-104, [arXiv:1705.11098 [gr-qc]]. [7] J. M. Nester and H.-J. Yo, Chin. J. Phys. 37 (1999) 113, [arXiv:grqc/9809049 [gr-qc]]. [8] J. Beltr´an Jim´enez, L Heisenberg and T. S. Koivisto, Universe 5 (2019) no. 7, 173, [arXiv:1903.06830 [hep-th]]. [9] J. Beltr´an Jim´enez, L. Heisenberg and T. Koivisto, Phys. Rev. D 98 (2018) no.4, 044048, [arXiv:1710.03116 [gr-qc]]. [10] J. Beltr´an Jim´enez, L. Heisenberg, T. Koivisto and S. Pekar, Phys. Rev. D 101 (2020) no.10, 103507, [arXiv:1906.10027 [gr-qc]]. [11] M. R¨unkla and O. Vilson, Phys. Rev. D 98 (2018) no.8, 084034, [arXiv:1805.12197 [gr-qc]]. [12] L. Heisenberg, [arXiv:2309.15958 [gr-qc]]. [13] R. Lazkoz, F. S. N. Lobo, M. Ortiz-Ba˜nos and V. Salzano, Phys. Rev. D 100 (2019) no.10, 104027, [arXiv:1907.13219 [gr-qc]]. [14] B. J. Barros, T. Barreiro, T. Koivisto and N. J. Nunes, Phys. Dark Univ. 30 (2020) 100616, [arXiv:2004.07867 [gr-qc]]. [15] S. Mandal, P. K. Sahoo and J. R. L. Santos, Phys. Rev. D 102 (2020) no.2, 024057, [arXiv:2008.01563 [gr-qc]]. [16] S. Mandal, D. Wang and P. K. Sahoo, Phys. Rev. D 102 (2020) 124029, [arXiv:2011.00420 [gr-qc]]. [17] W. Khyllep, A. Paliathanasis and J. Dutta, Phys. Rev. D 103 (2021) no.10, 103521, [arXiv:2103.08372 [gr-qc]]. [18] F. K. Anagnostopoulos, S. Basilakos and E. N Saridakis, Phys. Lett. B 822 (2021) 136634, [arXiv:2104.15123 [gr-qc]]. [19] L. Atayde and N. Frusciante, Phys. Rev. D 104 (2021), no.6, 064052, [arXiv:2108.10832 [astro-ph.CO]]. [20] F. D’Ambrosio, S. D. B. Fell, L. Heisenberg and S. Kuhn, Phys. Rev. D 105 (2022) no.2, 024042, [arXiv:2109.03174 [gr-qc]]. [21] R. Solanki, A. De and P. K. Sahoo, Phys. Dark Univ. 36 (2022) 100996, [arXiv:2203.03370 [gr-qc]]. [22] S. A. Narawade, L. Pati, B. Mishra and S. K. Tripathy, Phys. Dark Univ. 36 (2022) 101020, [arXiv:2203.14121 [gr-qc]]. [23] S. Capozziello and R. D’Agostino, Phys. Lett. B 822 (2022) 137229, [arXiv:2204.01015 [gr-qc]]. [24] S. Arora, Simran and P. K. Sahoo, Annalen Phys. 534 (2022) no.8, 2200233, arXiv:2206.05110 [gr-qc]]. [25] W. Khyllep, J. Dutta, E. N. Saridakis and K. Yesmakhanova, Phys. Rev. D 107 (2023) no.4, 044022, [arXiv:2207.02610 [gr-qc]]. [26] A. Lymperis, JCAP, 11 (2022) 018, [arXiv:2207.10997 [gr-qc]]. [27] M. Koussour, S. K. J. Pacif, M. Bennai, and P. K. Sahoo, Fortsch. Phys. 71 (2023) no. 4-5, 2200172, [arXiv:2208.04723 [gr-qc]]. [28] M. Koussour, S. H. Shekh, H. Filali and M. Bennai, Int. J. Geom. Meth. Mod. Phys. 20 (2023) no. 02, 2350019, [arXiv:2209.00341 [gr-qc]]. [29] G. N. Gadbail, S. Mandal and P. K. Sahoo, Phys. Lett. B 835 (2022) 137509, [arXiv:2210.09237 [gr-qc]]. [30] A. De, Avik and T-H Loo, Class. Quant. Grav. 40 (2023) no. 11, 115007, [arXiv:2212.08304 [gr-qc]]. [31] C. G. Boehmer, J. Jensko and R. Lazkoz, Universe 9 (2023) no. 4, 166, [arXiv:2303.04463 [gr-qc]]. [32] S. A. Narawade, S. P. Singh and B. Mishra, Phys. Dark Univ. 42 (2023) 101282, [arXiv:2303.06427 [gr-qc]]. [33] O. Sokoliuk, S. Arora, S. Praharaj, A. Baransky and P. K. Sahoo, Mon. Not. Roy. Astron. Soc. 522 (2023) no. 1, 252, [arXiv:2303.17341 [astroph.CO]]. [34] A. Paliathanasis, Phys. Dark Univ. 41 (2023) 101255, [arXiv:2304.04219 [gr-qc]]. [35] N. Myrzakulov, M. Koussour and D. J. Gogoi, Phys. Dark Univ. 42 (2023) 101268, [arXiv:2306.13218 [gr-qc]] [36] J. Ferreira, T. Barreiro, J. P. Mimoso and N. J. Nunes, Phys. Rev. D 108 (2023) no. 6, 063521, [arXiv:2306.10176 [astro-ph.CO]]. [37] A. Mussatayeva, N. Myrzakulov and M. Koussour, Phys. Dark Univ. 42 (2023) 101276, [arXiv:2307.00281 [gr-qc]]. [38] N. Myrzakulov, M. Koussour and A. Mussatayeva, Chin. J. Phys. 85 (2023) 345, [arXiv:2308.15101 [gr-qc]]. [39] P. Vishwakarma and P. Shah, Int. J. Mod. Phys. D 32 (2023) no. 11, 2350071 [40] D. Aguiar Gomes, J. Beltr´an Jim´enez, and T. S. Koivisto, [arXiv:2309.08554 [gr-qc]]. [41] S. Mandal, S. Pradhan, P. K. Sahoo and T. Harko, [arXiv:2310.00030 [gr-qc]]. [42] M. Koussour, N. Myrzakulov, Alnadhief H. A. Alfedeel and A. Abebe, [arXiv:2310.15067 [astro-ph.CO]]. [43] A. Paliathanasis, Phys. Dark Univ. 42 (2023) 101355, [arXiv:2310.04195 [gr-qc]]. [44] K. Aoki, S. Bahamonde, J. Gigante Valcarcel and M. A. Gorji, [arXiv:2310.16007 [gr-qc]]. [45] D. Iosifidis and F. W. Hehl, [arXiv:2310.15595 [gr-qc]]. [46] K. Hu, M. Yamakoshi, T. Katsuragawa, S. Nojiri and T. Qiu, [arXiv:2310.15507 [gr-qc]]. [47] L. N. Granda, Eur. Phys. J. C 80 (2020) no.6, 539, [arXiv:2003.09006 [gr-qc]]. [48] A. Oliveros and Mario A. Acero, Phys. Dark Univ. 40 (2023) 101207, [arXiv:2302.07022 [gr-qc]]. [49] A. Oliveros, Int. J. Mod. Phys. D 32 (2023) no. 12, 2350086, [arXiv:2307.11896 [gr-qc]]. [50] S. Basilakos, S. Nesseris and L. Perivolaropoulos, Phys. Rev. D 87 (2013) no.12, 123529, [arXiv:1302.6051 [astro-ph.CO]]. [51] F. W. Hehl, J. D. McCrea, E. W. Mielke and Y. Ne’eman, Phys. Rept. 258 (1995) 1-171, [arXiv:gr-qc/9402012 [gr-qc]]. [52] T. Ortin, Gravity and Strings (Cambridge University Press, Cambridge, England, 2015). [53] S. Cao, T. J. Zhang, X. Wang and T. Zhang, Universe 7 (2021) no.3, 57, [arXiv:2103.03670 [astro-ph.CO]]. [54] G. Efstathiou, Mon. Not. Roy. Astron. Soc. 505 (2021) no.3, 3866-3872, [arXiv:2103.08723 [astro-ph.CO]]. [55] D. Foreman-Mackey, D. W. Hogg, D. Lang, et al., Pubs. Astro. Soc. Pacific 125 (2013) 306, [arXiv:1202.3665 [astro-ph.IM]]. [56] N. Aghanim et al. [Planck], Astron. Astrophys. 641 (2020) A6 [erratum: Astron. Astrophys. 652 (2021) C4], [arXiv:1807.06209 [astro-ph.CO]]. [57] A. G. Riess et al., Astrophys. J. Lett. 934 (2022) no. 1 L7, [arXiv:2112.04510 [astro-ph.CO]]. [58] A. G. Riess et al., Astrophys. J. 938 (2022) no. 1, 36, [arXiv:2208.01045 [astro-ph.CO]]. This paper is available on arxiv under CC 4.0 license. Authors: (1) A. Oliveros, Programa de F´ısica, Universidad del Atl´antico; (2) Mario A. Acero, Programa de F´ısica, Universidad del Atl´antico. This paper is available on arxiv under CC 4.0 license. Authors: Authors: (1) A. Oliveros, Programa de F´ısica, Universidad del Atl´antico; (2) Mario A. Acero, Programa de F´ısica, Universidad del Atl´antico. Table of Links Abstract and Intro The f(Q) gravity: a brief review Cosmological dynamics in late-time Parameter constraints Conclusions Acknowledgments and References Abstract and Intro Abstract and Intro The f(Q) gravity: a brief review The f(Q) gravity: a brief review Cosmological dynamics in late-time Cosmological dynamics in late-time Parameter constraints Parameter constraints Conclusions Conclusions Acknowledgments and References Acknowledgments and References Acknowledgements A. O. is supported by Patrimonio Aut´onomo-Fondo Nacional de Financiamiento para la Ciencia, la Tecnolog´ıa y la Innovaci´on Francisco Jos´e de Caldas (MINCIENCIAS-COLOMBIA) Grant No. 110685269447 RC-80740- 465-2020, projects 69723 and 69553. We also thank Ricardo Vega (Universidad del Atl´antico) for helping us with the computer resources of his Laboratory used for the MCMC analyses. References [1] P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75 (2003) 559, [arXiv:astro-ph/0207347 [astro-ph]]. [2] E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15 (2006) 1753, [arXiv:hep-th/0603057 [hep-th]]. [3] K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Astrophys. Space Sci. 342 (2012) 155, [arXiv:1205.3421 [gr-qc]]. [4] S. Nojiri and S. D. Odintsov, Phys. Rept. 505 (2011) 59, [arXiv:1011.0544 [gr-qc]]. [5] T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Phys. Rept. 513 (2012) 1-189, [arXiv:1106.2476 [astro-ph.CO]]. [6] S. Nojiri, S. D. Odintsov and V. K. Oikonomou, Phys. Rept. 692 (2017) 1-104, [arXiv:1705.11098 [gr-qc]]. [7] J. M. Nester and H.-J. Yo, Chin. J. Phys. 37 (1999) 113, [arXiv:grqc/9809049 [gr-qc]]. [8] J. Beltr´an Jim´enez, L Heisenberg and T. S. Koivisto, Universe 5 (2019) no. 7, 173, [arXiv:1903.06830 [hep-th]]. [9] J. Beltr´an Jim´enez, L. Heisenberg and T. Koivisto, Phys. Rev. D 98 (2018) no.4, 044048, [arXiv:1710.03116 [gr-qc]]. [10] J. Beltr´an Jim´enez, L. Heisenberg, T. Koivisto and S. Pekar, Phys. Rev. D 101 (2020) no.10, 103507, [arXiv:1906.10027 [gr-qc]]. [11] M. R¨unkla and O. Vilson, Phys. Rev. D 98 (2018) no.8, 084034, [arXiv:1805.12197 [gr-qc]]. [12] L. Heisenberg, [arXiv:2309.15958 [gr-qc]]. [13] R. Lazkoz, F. S. N. Lobo, M. Ortiz-Ba˜nos and V. Salzano, Phys. Rev. D 100 (2019) no.10, 104027, [arXiv:1907.13219 [gr-qc]]. [14] B. J. Barros, T. Barreiro, T. Koivisto and N. J. Nunes, Phys. Dark Univ. 30 (2020) 100616, [arXiv:2004.07867 [gr-qc]]. [15] S. Mandal, P. K. Sahoo and J. R. L. Santos, Phys. Rev. D 102 (2020) no.2, 024057, [arXiv:2008.01563 [gr-qc]]. [16] S. Mandal, D. Wang and P. K. Sahoo, Phys. Rev. D 102 (2020) 124029, [arXiv:2011.00420 [gr-qc]]. [17] W. Khyllep, A. Paliathanasis and J. Dutta, Phys. Rev. D 103 (2021) no.10, 103521, [arXiv:2103.08372 [gr-qc]]. [18] F. K. Anagnostopoulos, S. Basilakos and E. N Saridakis, Phys. Lett. B 822 (2021) 136634, [arXiv:2104.15123 [gr-qc]]. [19] L. Atayde and N. Frusciante, Phys. Rev. D 104 (2021), no.6, 064052, [arXiv:2108.10832 [astro-ph.CO]]. [20] F. D’Ambrosio, S. D. B. Fell, L. Heisenberg and S. Kuhn, Phys. Rev. D 105 (2022) no.2, 024042, [arXiv:2109.03174 [gr-qc]]. [21] R. Solanki, A. De and P. K. Sahoo, Phys. Dark Univ. 36 (2022) 100996, [arXiv:2203.03370 [gr-qc]]. [22] S. A. Narawade, L. Pati, B. Mishra and S. K. Tripathy, Phys. Dark Univ. 36 (2022) 101020, [arXiv:2203.14121 [gr-qc]]. [23] S. Capozziello and R. D’Agostino, Phys. Lett. B 822 (2022) 137229, [arXiv:2204.01015 [gr-qc]]. [24] S. Arora, Simran and P. K. Sahoo, Annalen Phys. 534 (2022) no.8, 2200233, arXiv:2206.05110 [gr-qc]]. [25] W. Khyllep, J. Dutta, E. N. Saridakis and K. Yesmakhanova, Phys. Rev. D 107 (2023) no.4, 044022, [arXiv:2207.02610 [gr-qc]]. [26] A. Lymperis, JCAP, 11 (2022) 018, [arXiv:2207.10997 [gr-qc]]. [27] M. Koussour, S. K. J. Pacif, M. Bennai, and P. K. Sahoo, Fortsch. Phys. 71 (2023) no. 4-5, 2200172, [arXiv:2208.04723 [gr-qc]]. [28] M. Koussour, S. H. Shekh, H. Filali and M. Bennai, Int. J. Geom. Meth. Mod. Phys. 20 (2023) no. 02, 2350019, [arXiv:2209.00341 [gr-qc]]. [29] G. N. Gadbail, S. Mandal and P. K. Sahoo, Phys. Lett. B 835 (2022) 137509, [arXiv:2210.09237 [gr-qc]]. [30] A. De, Avik and T-H Loo, Class. Quant. Grav. 40 (2023) no. 11, 115007, [arXiv:2212.08304 [gr-qc]]. [31] C. G. Boehmer, J. Jensko and R. Lazkoz, Universe 9 (2023) no. 4, 166, [arXiv:2303.04463 [gr-qc]]. [32] S. A. Narawade, S. P. Singh and B. Mishra, Phys. Dark Univ. 42 (2023) 101282, [arXiv:2303.06427 [gr-qc]]. [33] O. Sokoliuk, S. Arora, S. Praharaj, A. Baransky and P. K. Sahoo, Mon. Not. Roy. Astron. Soc. 522 (2023) no. 1, 252, [arXiv:2303.17341 [astroph.CO]]. [34] A. Paliathanasis, Phys. Dark Univ. 41 (2023) 101255, [arXiv:2304.04219 [gr-qc]]. [35] N. Myrzakulov, M. Koussour and D. J. Gogoi, Phys. Dark Univ. 42 (2023) 101268, [arXiv:2306.13218 [gr-qc]] [36] J. Ferreira, T. Barreiro, J. P. Mimoso and N. J. Nunes, Phys. Rev. D 108 (2023) no. 6, 063521, [arXiv:2306.10176 [astro-ph.CO]]. [37] A. Mussatayeva, N. Myrzakulov and M. Koussour, Phys. Dark Univ. 42 (2023) 101276, [arXiv:2307.00281 [gr-qc]]. [38] N. Myrzakulov, M. Koussour and A. Mussatayeva, Chin. J. Phys. 85 (2023) 345, [arXiv:2308.15101 [gr-qc]]. [39] P. Vishwakarma and P. Shah, Int. J. Mod. Phys. D 32 (2023) no. 11, 2350071 [40] D. Aguiar Gomes, J. Beltr´an Jim´enez, and T. S. Koivisto, [arXiv:2309.08554 [gr-qc]]. [41] S. Mandal, S. Pradhan, P. K. Sahoo and T. Harko, [arXiv:2310.00030 [gr-qc]]. [42] M. Koussour, N. Myrzakulov, Alnadhief H. A. Alfedeel and A. Abebe, [arXiv:2310.15067 [astro-ph.CO]]. [43] A. Paliathanasis, Phys. Dark Univ. 42 (2023) 101355, [arXiv:2310.04195 [gr-qc]]. [44] K. Aoki, S. Bahamonde, J. Gigante Valcarcel and M. A. Gorji, [arXiv:2310.16007 [gr-qc]]. [45] D. Iosifidis and F. W. Hehl, [arXiv:2310.15595 [gr-qc]]. [46] K. Hu, M. Yamakoshi, T. Katsuragawa, S. Nojiri and T. Qiu, [arXiv:2310.15507 [gr-qc]]. [47] L. N. Granda, Eur. Phys. J. C 80 (2020) no.6, 539, [arXiv:2003.09006 [gr-qc]]. [48] A. Oliveros and Mario A. Acero, Phys. Dark Univ. 40 (2023) 101207, [arXiv:2302.07022 [gr-qc]]. [49] A. Oliveros, Int. J. Mod. Phys. D 32 (2023) no. 12, 2350086, [arXiv:2307.11896 [gr-qc]]. [50] S. Basilakos, S. Nesseris and L. Perivolaropoulos, Phys. Rev. D 87 (2013) no.12, 123529, [arXiv:1302.6051 [astro-ph.CO]]. [51] F. W. Hehl, J. D. McCrea, E. W. Mielke and Y. Ne’eman, Phys. Rept. 258 (1995) 1-171, [arXiv:gr-qc/9402012 [gr-qc]]. [52] T. Ortin, Gravity and Strings (Cambridge University Press, Cambridge, England, 2015). [53] S. Cao, T. J. Zhang, X. Wang and T. Zhang, Universe 7 (2021) no.3, 57, [arXiv:2103.03670 [astro-ph.CO]]. [54] G. Efstathiou, Mon. Not. Roy. Astron. Soc. 505 (2021) no.3, 3866-3872, [arXiv:2103.08723 [astro-ph.CO]]. [55] D. Foreman-Mackey, D. W. Hogg, D. Lang, et al., Pubs. Astro. Soc. Pacific 125 (2013) 306, [arXiv:1202.3665 [astro-ph.IM]]. [56] N. Aghanim et al. [Planck], Astron. Astrophys. 641 (2020) A6 [erratum: Astron. Astrophys. 652 (2021) C4], [arXiv:1807.06209 [astro-ph.CO]]. [57] A. G. Riess et al., Astrophys. J. Lett. 934 (2022) no. 1 L7, [arXiv:2112.04510 [astro-ph.CO]]. [58] A. G. Riess et al., Astrophys. J. 938 (2022) no. 1, 36, [arXiv:2208.01045 [astro-ph.CO]].

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