标题： 利用DESI DR2 BAO和GRB测试非共线$f(Q)$-引力 显示英文标题

标题： Testing Non-Coincident $f(Q)$-gravity with DESI DR2 BAO and GRBs

摘要： 我们研究了用于描述暗能量的$f\left( Q\right) $-理论，在非重合规范下定义了一个非平凡联络。 由此产生的场方程构成了一个类似于五重态的双标量场引力模型。 对于幂律模型$f\left( Q\right) \simeq Q^{\frac{n}{n-1}}$，我们构建了暗能量动力学演化的解析表达式，该表达式依赖于参数$n$。 我们利用来自 DESI DR2 的重子声波振荡和伽马射线暴来限制这一暗能量模型。 宇宙学数据提供了$n\simeq0.33$。 $f\left( Q\right) $模型通过提供较小的$\chi_{\min}^{2}$值，挑战了$\Lambda$CDM 模型。 尽管赤池信息量准则表明这两个宇宙学模型以类似的方式拟合Pantheon+、宇宙年代学和重子声波振荡的数据，但当引入伽马射线暴时，有微弱的证据支持$f\left( Q\right) $-理论。 显示英文摘要

摘要： We consider the $f\left( Q\right) $-theory for the description of dark energy with a non-trivial connection defined in the non-coincident gauge. The resulting field equations form a two-scalar-field, quintom-like gravitational model. For the power-law model $f\left( Q\right) \simeq Q^{\frac{n}{n-1}}$, we construct an analytic expression for the dynamical evolution of dark energy, which depends on the parameter $n$. We constrain this dark energy model using the the baryon acoustic oscillations from DESI DR2, and gamma-ray bursts. The cosmological data provides $n\simeq0.33$. The $f\left( Q\right) $-model challenges the $\Lambda$CDM by providing a smaller value for $\chi_{\min}^{2}$. Although the Akaike Information Criterion indicates that the two cosmological models fit the data from the Pantheon+, the cosmic chronometers and the baryonic acoustic oscillators in a similar way, when the gamma-ray bursts are introduced there is weak evidence in favor of the $f\left( Q\right) $-theory.