Abstract We investigate the behavior of the scalar field in f(R, T) gravity (Harko et al., Phys. Rev. D 84, 024020, 2011) inside the structure of a flat FRW cosmological model, where R and T have their usual meaning. The deterministic solution of FEs has been settled by considering the scale factor S ( t ) = t m e k t , where m and k are positive constant. Here we utilize three ongoing imperatives ( H 0 = 73.8 and q 0 = − 0.73 ) from SNe Ia Union observation (Cunha, Phys. Rev. D 79, 047301, 2009); ( H 0 = 73.8 and q 0 = − 0.55 ) from Type Ia Supernova (SNIa) observation in joined with (BAO) and (CMB) observation (Giostri et al., J. Cosmol. Astropart. Phys. 03, 027, 2012); and ( H 0 = 69.2 and q 0 = − 0.52 ) from (OHD+JLA) observation (Yu et al., Astrophys. J. 856, 3, 2018). We have measured and graphed several cosmological parameters and found that these findings are appropriate in comparison with the universe’s physical and kinematic properties and also compatible with ongoing observations. The correspondence between the scalar field models of tachyon, k-essence, and quintessence is investigated by us. Our model explains the potentials and the dynamics of the scalar fields in the FRW universe. The reconstructed potential is very sensible and has a scaling arrangement. Subsequently, our study supports recent observations.

中文翻译：

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f(R, T) 引力中快子、k 本质和精华的标量场模型之间的兼容性

摘要 我们研究了平面 FRW 宇宙学模型结构内的 f(R, T) 引力（Harko 等人，Phys. Rev. D 84, 024020, 2011）中标量场的行为，其中 R 和 T 有它们的通常的意思。有限元的确定性解已经通过考虑比例因子 S ( t ) = tmekt 得到解决，其中 m 和 k 是正常数。在这里，我们利用了来自 SNe Ia Union 观测（Cunha, Phys. Rev. D 79, 047301, 2009）的三个持续命令（H 0 = 73.8 和 q 0 = − 0.73 ）；( H 0 = 73.8 和 q 0 = − 0.55 ) 来自 Ia 型超新星 (SNIa) 观测并结合 (BAO) 和 (CMB) 观测（Giostri 等人，J. Cosmol. Astropart. Phys. 03, 027, 2012 ); 和 (H 0 = 69.2 和 q 0 = − 0.52 ) 来自 (OHD+JLA) 观察（Yu 等人，Astrophys. J. 856, 3, 2018）。我们测量并绘制了几个宇宙学参数，发现这些发现与宇宙的物理和运动学特性相比是合适的，并且与正在进行的观察相一致。我们研究了 tachyon、k-essence 和 quintessence 的标量场模型之间的对应关系。我们的模型解释了 FRW 宇宙中标量场的势能和动力学。重建的电位非常敏感，并具有缩放排列。随后，我们的研究支持了最近的观察。我们的模型解释了 FRW 宇宙中标量场的势能和动力学。重建的电位非常敏感，并具有缩放排列。随后，我们的研究支持了最近的观察。我们的模型解释了 FRW 宇宙中标量场的势能和动力学。重建的电位非常敏感，并具有缩放排列。随后，我们的研究支持了最近的观察。