Abstract Within the limits of the present cosmological observations in f ( R , T ) gravity theory, we have analyzed a spherically symmetric space-time in 5D setting. The field equations have been carefully studied considering reasonable cosmological assumptions to obtain exact solutions. We have obtained an isotropic model universe undergoing super-exponential expansion. It is predicted that the model universe behaves like a dark energy (vacuum energy) model. In the present scenario, the model evolves with a slow and uniform change of shape. It is observed that the universe is close to or nearly flat. The model is free from initial singularity and is predicted to approach the de-Sitter phase dominated by vacuum energy or cosmological constant in the finite-time future. A comprehensive discussion on the cosmological parameters obtained in view of the recent studies is presented in detail with graphs.

中文翻译：

---

f(R,T)重力模型表现为暗能量源

摘要 在目前 f ( R , T ) 引力理论的宇宙学观测范围内，我们分析了 5D 环境中的球对称时空。考虑到合理的宇宙学假设，已经仔细研究了场方程以获得精确解。我们已经获得了一个超指数膨胀的各向同性模型宇宙。据预测，模型宇宙的行为类似于暗能量（真空能量）模型。在目前的情况下，模型随着形状的缓慢而一致的变化而发展。据观察，宇宙接近或接近平坦。该模型没有初始奇点，预计在有限时间的未来将接近由真空能量或宇宙学常数主导的去西特阶段。