Dark energy evolution: non-interacting and interacting cases

Document Type : Research Paper

Authors

Department of Physics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran

Abstract

 In this paper, we study dark energy from two different perspectives, challenging a two-field scenario in two forms: non-interacting and interacting. We investigate the evolution of dark energy in a Friedmann-Robertson-Walker space-time that is spatially homogeneous and isotropic and filled with two components: dark energy and a barotropic fluid. We examine this evolution from two different perspectives: noninteracting and interacting; and we did it by selecting a suitable ansatz for the scale factor that reflects the transition of the universe from the early decelerating phase to the late accelerated stage. We calculate parameters and quantities such as pressure p, energy density ρ, equation of state (EoS), deceleration parameter q, etc., and compare the results of these two cases with the latest observational data as well as other works in the literature. We discuss the stability of these two different scenarios by calculating the sound speed. We also show whether different energy conditions are satisfied or violated. Then, we explore the evolutionary paths and the dynamical analysis of the model with the help of important tools such as the statefinder diagnostic (r, s) and discuss the results in detail. Finally, we reconstruct the scalar field’s potential and test some conjectures using the equation of the state of dark energy and the relation between energy density and pressure with the scalar field and potential. Then, we discuss the results in detail. An important issue that we found in this calculation is the dissatisfaction of the swampland conjectures with this model in non-interacting cases but in the face of swampland conjectures, some acceptable range for t < 2 is seen for all universes in interacting cases.

Keywords


[1] Frusciante, N. & Perenon, L. 2020, Phys. Rep., 857, 1. [2] Oks, E. 2021, New A, 93, 101632.
[3] Dark Energy Survey Collaboration, & et al. 2016, MNRAS, 460.2, 1270.
[4] Amendola, L.
& Shinji, T. 2010, Cambridge University Press.
[5] Peebles, P. James, E. & Bharat, R. 2003, Reviews of modern physics, 75.2, 559.
[6] Wang, S. Yi W.
& Miao, L. 2017, Phys. Rep., 696, 1.
[7] Doran, M. & Georg, R. 2006, J. Cosmology Astropart. Phys., 2006.06, 026.
[8] Comelli, D. Pietroni, M.
& Riotto, A. 2003, Physics Letters B, 571.3-4, 115.
[9] Farrar, G. R. James, P. Peebles, E. 2004, ApJ, 604.1, 1.
[10] Durrer, R. & Roy, M. 2008, General Relativity and Gravitation, 40, 301.
[11] Sahni, V.
& Yuri, S. 2003, J. Cosmology Astropart. Phys., 2003.11, 014.
[12] Alam, U. Varun, S. & Starobinsky, A. A. 2004, J. Cosmology Astropart. Phys., 2004.06, 008.
[13] Tawfik, A. N. & Eiman, A. E. D. 2019, Gravitation and Cosmology, 25, 103.
[14] Xu, Y.-Y., & Xin, Zh. 2016, EPJC, 76.11, 588.
[15] Mhamdi, D. & et al., 2023, General Relativity and Gravitation, 55.1, 11.
[16] Dubey, V. Ch. & et al., 2023, International Journal of Geometric Methods in Modern Physics, 20.02, 2350036.
[17] Myrzakulov, N. Koussour, M. & Dhruba. J. G. 2023, EPJC, 83.7, 594.
[18] Sadeghi, J. Noori Gashti, S. & Azizi, T. 2023, Modern Physics Letters A, 38.14n15, 2350076.
[19] Sadeghi, J. Noori Gashti, S. & Azizi, T. 2023, Communications in Theoretical Physics, 75.2, 025402.
[20] Di Valentino, E. Nils, A. N. & Park, M. 2023, MNRAS, 519.4, 5043.
[21] Gupta, S. Archana, D. & Anirudh, P. 2023, International Journal of Geometric Methods in Modern Physics, 20.02, 2350021.
[22] Harada, J. 2023, Phys. Rev. D, 108.10, 104037.
[23] Saklany, Sh. Neeraj, P. & Brajesh, P. 2023, Physics of the Dark Universe, 39, 101166.
[24] Pradhan, A. & et al., arXiv:2310.02267 (2023).
[25] Manoharan, M. T. Shaji, N. & Titus, K. M. 2023, EPJC, 83.1, 19.
[26] Díaz, J. J. T. & et al., 2023, J. Cosmology Astropart. Phys., 2023.10, 031.
[27] Riess, A. G. & et al., 1998, AJ, 116.3, 1009.
[28] Perlmutter, S. & et al., 1999, ApJ, 517.2, 565.
[29] Solheim, J-E. & Ovenden, M. W. 1966, MNRAS, 133.3, 321.
[30] Özer, M. & Taha, M. O. 1987, Nucl. Phys. B, 287, 776.
[31] Perlmutter, S. 1999, ApJ, 517.2, 565.
[32] Perlmutter, S. 2003, Physics today, 56.4, 53-60.
[33] Riess, A. G. & et al., 2004, ApJ, 607.2, 665.
[34] Caldwell, R. R. & Michael, D. 2004, Phys. Rev. D, 69.10, 103517.
[35] Huang, Z.-Yi & et al., 2006, J. Cosmology Astropart. Phys., 2006.05, 013.
[36] Seljak, U. & et al., 2005, Phys. Rev. D, 71.10, 103515.
[37] Tegmark, M. & et al., 2004, Phys. Rev. D, 69.10, 103501.
[38] Eisenstein, D. J. & et al., 2005, AJ, 633, 560.
[39] Jain, B. & and Andy, T. 2003, Phys. Rev. Lett., 91.14, 141302.
[40] Astier, P. & Reynald, P. 2012, Comptes Rendus Physique, 13.6-7, 521.
[41] Liddle, A. R. & and Arturo, U.-L. 2006, Phys. Rev. Lett., 97.16, 161301.
[42] Copeland, E. J. Sami, M. & Tsujikawa, Sh. 2006, International Journal of Modern Physics D, 15.11, 1753.
[43] Nojiri, Sh. & Odintsov, S. D. 2010, AIP Conference Proceedings. Vol. 1241. No. 1. American Institute of Physics.
[44] Odintsov, S. D. & Oikonomou, V. K. 2019, Phys. Rev. D, 99.10, 104070.
[45] Oikonomou, V. K. 2021, Phys. Rev. D, 103.4, 044036.
[46] Caldwell, R. R. & Marc, K. 2009, Annual Review of Nuclear and Particle Science, 59, 397.
[47] Silvestri, A. & Trodden, M. 2009, Reports on Progress in Physics, 72.9, 096901.
[48] Brax, Ph. Jerome, M. & Alain, R. 2001, Phys. Rev. D, 64.8, 083505.
[49] Sahni, V. & Starobinsky, A. A. 2000, International Journal of Modern Physics D, 9.04, 373.
[50] Caldwell, R. R. 2002, Physics Letters B, 545.1-2, 23.
[51] Armendariz-Picon, Ch. Mukhanov, V. & Steinhardt, P. 2000, Phys. Rev. Lett., 85.21, 4438.
[52] Armendariz-Picon, Ch. Mukhanov, V. & Steinhardt, P. 2001, Phys. Rev. D, 63.10, 103510.
[53] Sen, A. 2002, JHEP, 2002.04, 048.
[54] Feng, B. Xiulian, W. & Xinmin, Zh. 2005, Physics Letters B, 607.1-2, 35.
[55] Bento, M. C. Orfeu, B. & Anjan, A. S. 2002, Phys. Rev. D, 66.4, 043507.
[56] Kamenshchik, A. Ugo, M. & Vincent, P. 2001, Physics Letters B, 511.2-4, 265.
[57] Wang, B. Yungui, G. & Elcio, A. 2005, Physics Letters B, 624.3-4, 141.
[58] Setare, M. R. 2006, Physics Letters B, 642.5-6, 421.
[59] Setare, M. R. 2007, Physics Letters B, 644.2-3, 99.
[60] Deffayet, C. Gia, D. & Gregory, G. 2002, Phys. Rev. D, 65.4, 044023.
[61] Li, Miao. 2004, Physics Letters B, 603.1-2, 1-5.
[62] Astier, P. & et al., 2006, A&A, 447.1, 31.
[63] MacTavish, C. J. & et al., 2006, ApJ, 647.2, 799.
[64] Komatsu, E. & et al., 2009, ApJS, 180.2, 330.
[65] Spergel, D. N. & et al., 2007, ApJS, 170.2, 377.
[66] Campanelli, L. Cea, P. & Tedesco, L. 2006, Phys. Rev. Lett., 97.13, 131302.
[67] Campanelli, L. Cea, P.
& Tedesco, L. 2007, Phys. Rev. D, 76.6, 063007.
[68] Pacif, S. K. J. 2020, The European Physical Journal Plus, 135.10, 1.
[69] Pacif, Sh. K. J. Myrzakulov, R. & Shynaray, M. 2017, International Journal of Geometric Methods in Modern Physics, 14.07, 1750111.
[70] Pacif, S. K. J. Arora, S. & Sahoo, P. K. 2021, Physics of the Dark Universe, 32, 100804.
[71] Nagpal, R. & et al., 2018, EPJC, 78, 1.
[72] Shahalam, M.
& et al., EPJC, 77, 1.
[73] Campanelli, L. 2009, Phys. Rev. D, 80.6, 063006.
[74] Gruppuso, A. 2007, Phys. Rev. D, 76.8, 083010.
[75] Mishra, B. Sahoo, P. K. & Tripathy, S. K. 2015, Ap&SS, 356, 163.
[76] Pacif, S. K. J.
& Mishra, B. 2015, Ap&SS, 360.2, 48.
[77] Mishra, B., & Tripathy, S. K. 2015, Modern Physics Letters A, 30.36, 1550175.
[78] Aghanim, N.
& et al., 2020, A&A, 641, A6.
[79] Amirhashchi, H. Anirudh, P. & Bijan, S. 2011, Chinese Physics Letters, 28.3 039801.
[80] Akarsu, Ö.
& Can, Ba. K. 2010, General Relativity and Gravitation, 42, 119.
[81] Akarsu, Ö. & Can, Ba. K. 2010, General Relativity and Gravitation 42.4 763.
[82] Amirhashchi, H. Anirudh, P.
& Bijan. S. 2011, Ap&SS, 333, 295.
[83] Kumar, S. & Anil, K. Y. 2011, Modern Physics Letters A, 26.09, 647.
[84] Kumar, S. & Singh, C. P. 2011, General Relativity and Gravitation, 43, 1427.
[85] Amendola, L. 2003, MNRAS, 342.1, 221.
[86] Padmanabhan, T. 2003, Phys. Rep., 380.5-6, 235.
[87] Riess, A. G.
& et al., 2001, ApJ, 560.1, 49.
[88] Chiba, T. & Takashi, N. 1998, Progress of theoretical physics, 100.5, 1077.
[89] Sahni, V. 2002, arXiv preprint astro-ph/0211084
[90] Blandford, R. D. & et al., 2004, arXiv preprint astro-ph/0408279
[91] Visser, M. 2004, Classical and Quantum Gravity, 21.11, 2603.
[92] Visser, M. 2005, General Relativity and Gravitation, 37, 1541.
[93] Amendola, L. Gabriela, C. C. & Rogerio, R. 2007, Phys. Rev. D, 75.8, 083506.
[94] Pavón, D
& Bin, W. 2009, General Relativity and Gravitation, 41, 1.
[95] Guo, Z.-K., Nobuyoshi, O. & Shinji, T. 2007, Phys. Rev. D, 76.2, 023508.
[96] Lucca, M. & Deanna, C. H. 2020, Phys. Rev. D, 102.12, 123502.
[97] Sharma, U. K. Vipin. Ch. D. & Anirudh, P. 2020, International Journal of Geometric Methods in Modern Physics, 17.02, 2050032.
[98] Barrow, J. D. 1990, Physics Letters B, 235.1-2, 40.
[99] Barrow, J. D. & Paul, S. 1990, Physics Letters B, 249.3-4, 406.
[100] Rapetti, D. & et al., 2007, MNRAS, 375.4, 1510.
[101] Steigman, G. Santos, R. C. & Lima, J. A. 2009, J. Cosmology Astropart. Phys., 2009.06, 033.
[102] He, J.-H. & Bin, W. 2008, J. Cosmology Astropart. Phys., 2008.06, 010.
[103] Riess, A. G. & et al., 2019, ApJ, 876.1, 85.
[104] Scolnic, D. M. & et al., 2018, ApJ, 859.2, 101.
[105] Mandal, S. & et al., 2020, Physics of the Dark Universe, 28, 100551.
[106] Riess, A. G. Filippenko, A. & Challis, P. 1998, Astron. J, 116, 1009.
[107] Astier, P. & et al., 2006, A&A447.1, 31-48.
[108] Rapetti, D. & et al., MNRAS, 375.4, 1510.
[109] Pan, S. Ankan, M. & Narayan, B. 2018, MNRAS, 477.1, 1189.
[110] Dąbrowski, M. P. 2005, Physics Letters B, 625.3-4, 184.
[111] Zhai, Z.-X. & et al., 2013, Physics Letters B, 727.1-3, 8-20.
[112] Al Mamon, A. & Bamba, K. 2018, EPJC, 78.10 862.
[113] Sami, M. & et al., Phys. Rev. D, 86.10, 103532.
[114] Agarwal, A. & et al., 2019, International Journal of Modern Physics D, 28.06, 1950083.
[115] Vijaya S. M. & et al., 2023, Indian Journal of Physics, 97.5, 1641.
[116] Odintsov, S. D. & Oikonomou, V. O. 2020, Physics Letters B, 805, 135437.
[117] Sadeghi, J. Noori Gashti, S. & Naghd Mezerji, E. 2020, Physics of the Dark Universe, 30, 100626.
[118] Noori Gashti, S. & Sadeghi, J. 2022, International Journal of Modern Physics A, 37.04, 2250006.
[119] Sadeghi, J. & Noori Gashti, S. 2021, Pramana, 95, 1.
[120] Sadeghi, J. & et al., Phys. Scr, 96.12, 125317.
[121] Gashti, S. N. Sadeghi, J. & Pourhassan, B. 2022, Astroparticle Physics, 139, 102703.
[122] Liu, Y. 2021, EPJC, 81.12, 1122.
[123] Andriot, D. & Christoph, R. 2019, Fortschritte der Physik, 67.1-2, 1800105.
[124] Kolb, E. W. Andrew, J. & Evan, M. 2021, Phys. Rev. Lett., 127.13, 131603.
[125] Ooguri, H. & Vafa, C. 2007, Nucl. Phys. B, 766.1-3, 21.
[126] Sadeghi, J. & et al., 2022, General Relativity and Gravitation, 54.10, 129.
[127] Liu, Y. 2021, EPJC, 81.12, 1122.
[128] Gashti, S. N. & et al., 2025, Chinese Physics C, 49.2, 025108-025108.
[129] Arkani-Hamed N. & et al., 2007, JHEP, 2007.06, 060.
[130] Gashti, S. N. & Sadeghi, J. 2022, The European Physical Journal Plus 137.6 1-13.
[131] Alipour, M. R. Sadeghi, J. & Shokri, M. 2023, EPJC, 83.7, 1.
[132] Alipour, M. R. Sadeghi, J. & Shokri, J. 2023, Nucl. Phys. B, 990, 116184.
[133] Sadeghi, J. Alipour, M. R. & Gashti, S. N. 2023, Modern Physics Letters A, 38.26n27, 2350122.
[134] Schöneberg, N. & et al., 2023, J. Cosmology Astropart. Phys., 2023.10 039.
[135] Kadota, K. & et al., 2020, J. Cosmology Astropart. Phys., 2020.01, 008.
[136] Oikonomou, V. K. 2021, Phys. Rev. D, 103.12, 124028.
[137] Sadeghi, J. & et al., 2023, EPJC, 83, (635).
[138] Sadeghi, J. & et al., 2022, Universe, 8.12, 621.
[139] Capozziello, S. & et al., 2011 Phys. Rev. D, 83.6, 064004.
[140] Gashti, S. N. & et al., Communications in Theoretical Physics, 74.8, 085402.
[141] Das, S. 2020, Physics of the Dark Universe, 27, 100432.
[142] Yuennan, J, & Phongpichit, Ch. 2022, Fortschritte der Physik, 70.6, 2200024.
[143] Bedroya, A. & Vafa, C. 2020, JHEP, 2020.9, 1-34.
[144] Sadeghi, J. & et al., arXiv:2305.12545.
[145] Mohammadi, A. Golanbari, T. & Enayati, J. 2021, Phys. Rev. D, 104.12, 123515.
[146] Sadeghi, J. & al., 2022, Universe, 8.12, 621.
[147] Kallosh, R. & et al., 2019, JHEP, 2019.3, 1-18.
[148] Guleryuz, O. 2021, J. Cosmology Astropart. Phys., 2021.11, 043.
[149] Osses, C. Nelson, V. & Grigoris, P. 2021, EPJC, 81, 1.
[150] Sadeghi, J. Gashti, S. N. & Alipour, M. R. 2022, Chinese Journal of Physics, 79, 490.
[151] Brahma, S. 2020, Phys. Rev. D, 101.2, 023526.
[152] Brandenberger, R. 2021, arXiv:2102.09641.
[
153] Sadeghi, J. Gashti, S. N. & Darabi, F. 2022, Physics of the Dark Universe, 101090
[154] Geng, H. Sebastian, G. & Andreas, K. 2019, JHEP, 2019.6 1.
[155] Gashti, S. N. Sadeghi, J. & Pourhassan, B. 2022, Astroparticle Physics, 139, 102703.
[156] Sadeghi, J. Naghd Mezerji, E. & Noori Gashti, S. 2021, Modern Physics Letters A, 36.05, 2150027.
[157] Sadeghi, J. & Noori Gashti, S. 2021, EPJC, 81, 1.
[158] Agrawal, P. & et al., 2018, Physics Letters B, 784, 271.
[159] Odintsov, S. D. & Oikonomou, V. 2020, Physics Letters B, 805, 135437.
[160] Mezerji, E. N. & Sadeghi, J. 2022, Nucl. Phys. B, 981, 115858.
[161] Sharma, U. K. 2021, International Journal of Geometric Methods in Modern Physics, 18.02, 2150031.
[162] Sadeghi, J. & et al., 2023, JHEP, 2023.2, 1.
[163] Odintsov, S. D. Oikonomou, V. & Sebastiani, L. 2017, Nucl. Phys. B, 923, 608.
[164] Sadeghi, J. & et al., 2023, EPJC, 83 (635).
[165] Shokri, M. Sadeghi, J. & Noori Gashti, S. 2022, Physics of the Dark Universe, 35, 100923.
[166] Mezerji, E. N. Sadeghi, J. & Pourhassan, B. 2022, The European Physical Journal Plus, 137.10, 1.
[167] Shokri, M. & et al., 2021, arXiv:2112.12309.
[168] Sadeghi, J. & et al., 2023, Phys. Scr, 98.2, 025305.
[169] Yuennan, J. & Phongpichit, Ch. 2023, Nucl. Phys. B, 986, 116033.
[170] Gashti, S. N. & Sadeghi, J. 2022, The European Physical Journal Plus, 137.6, 1.
[171] Kinney, W. H. 2019, Phys. Rev. Lett., 122.8, 081302.
[172] Kinney, W. H. 2021, arXiv:2103.16583.
[173] Yu, T.-Y. & Wen-Yu, W. 2018, Physics Letters B, 781, 713.
[174] Gashti, S. N. 2022, JHAP, 2 (1), 13.
[175] Vafa, C. 2005, arXiv preprint hep-th/0509212.
[176] Sadeghi, J. & et al., 2023, Chinese Physics C, 47.1, 015103.
[177] van B. M. & et al., 2022, Phys. Rep., 989, 1.
[178] Sadeghi, J. & et al., 2022, Annals of Physics, 447, 169168.
[
179] Kolb, E. W. Andrew, J. L. & Evan, M. 2021, Phys. Rev. Lett., 127.13, 131603.
[180] Yuennan, J. & Phongpichit, Ch. 2022, Fortschritte der Physik, 70.6, 2200024.
[181] Palti, E. 2019, Fortschritte der Physik, 67.6, 1900037.
[182] Noori Gashti, S. Sadeghi, J. & Alipour, M. R. 2023, International Journal of Modern Physics D, 32.03, 2350011.
[183] Sadeghi, J. & et al., Chinese Physics C, 47.1, 015103.
[184] Sadeghi, J. & et al., 2022, Universe, 8.12, 623.
[185] Noori Gashti, S. & et al., 2024 Chinese Physics C, 49 (2), 025108-025108-18.
[186] Anand, A. & et al., 2024 arXiv preprint arXiv:2411.04134.
[187] Gashti, S. N. Sakallı, I & Pourhassan, B. 2024, arXiv preprint arXiv:2410.14492.
[188] Alipour, M. R. & et al., 2024, arXiv preprint arXiv:2410.14352.
[189] Gashti, S. N. Alipour, M. R. & Afshar, M. A. S. 2024, arXiv preprint arXiv:2409.06488.
[190] Sadeghi, J. Gashti, S. N. Alipour, M. R. Afshar, M. A. S. 2024, Int J Theor Phys, 63, 307.
[191] Sadeghi, J. & Gashti, S. N. 2024, Nucl. Phys. B, 1006, 116657.
[192] Alipour, M. R. & et al., 2025, JHEP, 45, 160.
[193] Sadeghi, J. & Gashti, S. N. 2024, Physics Letters B, 853, 138651.