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arXiv 1802.02093gr-qcastro-ph.CO
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中子星的能量动量平方引力约束及其宇宙学意义

Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications

Ozgur Akarsu, John D. Barrow, Sercan Çıkıntoğlu, K. Yavuz Ekşi, Nihan Katirci

摘要:

由于能量-动量平方引力(EMSG)的影响,广义相对论的预测偏离在中子星的高密度核中将变得明显。我们推导了EMSG中的流体静力学平衡方程,并对它们进行数值求解,得到了四种不同状态方程下的中子星质量-半径关系。我们使用现有的观测测量的质量和半径的中子星来约束的自由参数,$α,$,表征物质和时空之间的耦合EMSG。我们表明,$-10^{-38}\,\mathrm{cm^{3}/erg}<α<+10^{-37}\,\mathrm{cm^{3}/erg}$。在此约束下,我们讨论了EMSG对中子星物理学的贡献,特别是它们与中子星中所谓的\textit{hyperon puzzle}的相关性。我们还讨论了EMSG如何改变标准宇宙学模型预测的早期宇宙的动力学。我们表明,EMSG离开标准宇宙学安全不变回到$t\sim 10^{-4}$秒,在宇宙的能量密度是$\sim 10^{34}\,\mathrm{erg\,cm^{-3}}$。

英文摘要:

Deviations from the predictions of general relativity due to energy-momentum squared gravity (EMSG) are expected to become pronounced in the high density cores of neutron stars. We derive the hydrostatic equilibrium equations in EMSG and solve them numerically to obtain the neutron star mass-radius relations for four different realistic equations of state. We use the existing observational measurements of the masses and radii of neutron stars to constrain the free parameter, $α,$ that characterizes the coupling between matter and spacetime in EMSG. We show that $-10^{-38}\,\mathrm{cm^{3}/erg}<α<+10^{-37}\,\mathrm{cm^{3}/erg}$. Under this constraint, we discuss what contributions EMSG can provide to the physics of neutron stars, in particular, their relevance to the so called \textit{hyperon puzzle} in neutron stars. We also discuss how EMSG alters the dynamics of the early universe from the predictions of the standard cosmological model. We show that EMSG leaves the standard cosmology safely unaltered back to $t\sim 10^{-4}$ seconds at which the energy density of the universe is $\sim 10^{34}\,\mathrm{erg\,cm^{-3}}$.

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