标题： 爱丁顿启发的Born-Infeld引力：来自广义部分子分布（GPDs）的限制 显示英文标题

标题： Eddington-inspired Born-Infeld gravity: Constraints from the generalized parton distributions (GPDs)

摘要： 受爱丁顿启发的Born-Infeld（EiBI）引力理论在高密度区域修改了广义相对论。 它提供了一个替代框架，避免了宇宙学奇点，并重新构建了致密天体内的引力动力学。 EiBI引力的一个重要特征是其额外的参数$\kappa$，该参数控制着与标准引力行为的偏差。 在这项研究中，我们利用从广义部分子分布（GPDs）的QCD分析获得的引力形式因子（GFF）$ D(t) $得到的质子内部压力分布来约束$\kappa$。 通过比较基于依赖偏度的GPDs提取的压力剖面与之前基于深度虚时康普顿散射（DVCS）数据确定的结果，我们更新了$\kappa$的界限。 我们的结果显示，质子压力模型的选择对约束条件有显著影响，其中最强的限制为$|\kappa| \leq 0.10\text{--}0.3\, \text{m}^5\, \text{kg}^{-1}\, \text{s}^{-2}$。 我们进一步证明，基于压力分布的一阶和二阶矩得到的约束与那些基于峰值压力或仅基于一阶矩得到的约束具有竞争力。 这些发现强调了精确实验和理论确定质子力学性质的重要性，以测试引力的替代理论。 本研究激发了未来在GPD重建方面的改进，以对EiBI引力及相关修正施加更强的约束。 显示英文摘要

摘要： The Eddington-inspired Born-Infeld (EiBI) theory of gravity modifies general relativity in high-density regimes. It offers an alternative framework that avoids cosmological singularities and remodels gravitational dynamics within compact objects. An important feature of EiBI gravity is its additional parameter, $\kappa$, which governs deviations from standard gravitational behavior. In this study, we investigate constraints on $\kappa$ using the internal pressure distribution of the proton, derived from gravitational form factor (GFF) $ D(t) $ obtained through a QCD analysis of generalized parton distributions (GPDs). By comparing pressure profiles extracted from skewness-dependent GPDs with previous determinations based on deeply virtual Compton scattering (DVCS) data, we establish updated bounds on $\kappa$. Our results show that the choice of proton pressure model significantly impacts the constraints, with the strongest limits ($|\kappa| \leq 0.10\text{--}0.3\, \text{m}^5\, \text{kg}^{-1}\, \text{s}^{-2}$). We further demonstrate that constraints obtained based on the first and second moments of the pressure distribution yield competitive bounds compared to those derived from peak pressures or those derived from just the first moment. These findings highlight the importance of precise experimental and theoretical determinations of the proton's mechanical properties in testing alternative theories of gravity. The present study motivates future improvements in GPD reconstructions for stronger constraints on EiBI gravity and related modifications.