Recently, Harko et al. [Phys. Rev. D 88, 044032 (2013)] have derived an exact solution of the spherically symmetric field equations in EiBI gravity, describing a compact star with decreasing pressure but increasing energy density. We have explored some features of this solution by restricting the range of the parameter [Formula: see text] which satisfies four energy conditions for 10 equation of states (EOSs). Viability and deviations of these features in the light of updated observed properties of neutron stars (NS) have been explored completely. A comparison of those features with recent observations may uncover the future implication of this paper. Analysis of our results indicates that this solution may be used as an alternative EOS.

中文翻译：

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Eddington 中解析解的特征启发了 Born-Infeld (EiBI) 重力

最近，Harko 等人。[物理。Rev. D 88, 044032 (2013)] 推导出了 EiBI 重力球对称场方程的精确解，描述了一颗压力降低但能量密度增加的致密恒星。我们通过限制满足 10 个状态方程 (EOS) 的四个能量条件的参数 [公式：参见文本] 的范围，探索了该解决方案的一些特征。鉴于中子星 (NS) 的最新观测特性，这些特征的可行性和偏差已被完全探索。将这些特征与最近的观察结果进行比较可能会揭示本文的未来含义。对我们结果的分析表明，该解决方案可以用作替代 EOS。