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arXiv · 1810.06753

The Buchdahl Stability Bound in Eddington-inspired Born-Infeld Gravity

Wei-Xiang Feng·Chao-Qiang Geng·Ling-Wei Luo
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Abstract

We give the Buchdahl stability bound in Eddington-inspired Born-Infeld (EiBI) gravity. We show that this bound depends on an energy condition controlled by the model parameter $κ$. From this bound, we can constrain $κ\lesssim 10^{8}\text{m}^2$ if a neutron star with a mass around $3M_{\odot}$ is observed in the future. In addition, to avoid the potential pathologies in EiBI, a \emph{Hagedorn-like} equation of state associated with $κ$ at the center of a compact star is inevitable, which is similar to the Hagedorn temperature in string theory.

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Wei-Xiang Feng, Chao-Qiang Geng, Ling-Wei Luo. 2019-07-19. The Buchdahl Stability Bound in Eddington-inspired Born-Infeld Gravity. https://doi.org/10.1088/1674-1137%2F43%2F8%2F083107

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