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arXiv 2011.08701gr-qc
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四维Einstein-Gauss-Bonnet引力中的各向同性致密星

Isotropic compact stars in 4D Einstein-Gauss-Bonnet gravity

Sudan Hansraj, Ayan Banerjee, Lushen Moodly, M. K. Jasim

摘要:

最近有人提出,洛夫洛克引力的高斯-邦纳耦合参数可以适当地重新调整,以承认物理上可行的天体现象模型,使更高的曲率效应在标准四维中是活跃的,而不是通常的高维。我们调查的后果,这种修改的背景下,恒星建模。理想流体分布的演化受压力各向同性条件支配,通过规定一个度量势,从主微分方程的解中产生完整的模型。新的类的精确解,这种方法已被报道。一个特定的模型进行了详细的分析,并表明符合现实的紧凑型恒星的基本物理要求,这表明修改后的理论与观测并不矛盾。

英文摘要:

Recently it has been proposed that the Gauss-Bonnet coupling parameter of Lovelock gravity may suitably be rescaled in order to admit physically viable models of celestial phenomena such that higher curvature effects are active in standard four dimensions as opposed to the usual higher dimensions. We investigate the consequences of this modification in the context of stellar modelling. The evolution of perfect fluid distributions is governed by the pressure isotropy condition and through stipulation of one of the metric potentials complete models emerge from solutions of the master differential equation. New classes of exact solution with this approach have been reported. One particular model is analysed in detail and shown to comport with elementary physical requirements demanded of realistic compact stars suggesting that the modified theory is not inconsistent with observations.

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