Gravastar models have recently been proposed as an alternative to black holes, mainly to avoid the problematic issues associated with event horizons and singularities. Recently, in [D. J. Cirilo-Lombardo and C. D. Vigh, Int. J. Mod. Phys. D 28 (2019) 1950108], a regular variety of gravastar models within the context of Einstein–Born–Infeld (EBI) nonlinear electrodynamics were built. These original models are truly regular in the sense that both the metric and its derivatives are continuous throughout spacetime, contrary to other cases in the literature where matching conditions are necessary in the interior and exterior regions of the event horizon. In this work, in the same theoretical context from [D. J. Cirilo-Lombardo and C. D. Vigh, Int. J. Mod. Phys. D 28 (2019) 1950108], we study some optical phenomena, such as the weak gravitational lens for the case of the magnetized plasma and the influence of working with a nonlinear field of BI in observables such as the Einstein ring or the total delay time. These important issues allow us to compare the results obtained in the context of these new static Born–Infeld gravastars with the standard linear ones (e.g. Reissner–Nordström).

中文翻译：

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Einstein-Born-Infeld gravastar 模型在等离子体中的光学特性

Gravastar 模型最近被提出作为黑洞的替代方案，主要是为了避免与事件视界和奇点相关的问题。最近，在 [DJ Cirilo-Lombardo 和 CD Vigh, Int. J.国防部。物理。D 28 (2019) 1950108]，在 Einstein-Born-Infeld (EBI) 非线性电动力学的背景下建立了各种常规的 Gravastar 模型。这些原始模型是真正有规律的，因为度量及其导数在整个时空中都是连续的，这与文献中在事件视界的内部和外部区域需要匹配条件的其他情况相反。在这项工作中，在来自 [DJ Cirilo-Lombardo 和 CD Vigh, Int. 的相同理论背景下。J.国防部。物理。D 28 (2019) 1950108]，我们研究一些光学现象，例如磁化等离子体情况下的弱引力透镜，以及在诸如爱因斯坦环或总延迟时间等可观测量中使用 BI 的非线性场的影响。这些重要的问题使我们能够将在这些新的静态 Born-Infeld gravastars 与标准线性的（例如 Reissner-Nordström）背景下获得的结果进行比较。