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arXiv 2407.04791gr-qcastro-ph.HEastro-ph.SR
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变色龙机制对白矮星结构的影响

Structural Implications of the Chameleon Mechanism on White Dwarfs

Joan Bachs-Esteban, Ilídio Lopes, Javier Rubio

AI总结:

本文研究变色龙机制对白矮星结构的影响,通过打靶法求解平衡方程,发现该机制减小恒星半径和质量、加速冷却,并首次提出相似性关系。

摘要:

我们研究了变色龙机制对白矮星结构的影响。使用我们设计的打靶法,我们求解了钱德拉塞卡状态方程对应的标量-张量平衡方程,探索了变色龙场与物质耦合的各种能量尺度和耦合常数。对于所考虑的参数范围,我们发现变色龙场处于厚壳层构型,并在文献中首次识别出该理论中径向归一化标量场梯度的相似性关系。我们的分析表明,变色龙机制改变了白矮星的内部压力,导致恒星半径和质量减小,使质量-半径曲线低于牛顿引力预测的曲线。这也降低了白矮星的比热,加速了它们的冷却过程。最后,我们从结果中推导出参数化表达式,以加速未来对标量-张量理论中白矮星的分析。

英文摘要:

We study the impact of the chameleon mechanism on the structure of white dwarfs. Using a shooting method of our design, we solve the corresponding scalar-tensor equilibrium equations for a Chandrasekhar equation of state, exploring various energy scales and couplings of the chameleon field to matter. For the considered parameter ranges, we find the chameleon field to be in a thick-shell configuration, identifying for the first time in the literature a similarity relation of the theory for the radially normalised scalar field gradient. Our analysis reveals that the chameleon mechanism alters the internal pressure of white dwarfs, leading to a reduction in the stellar radii and masses and shifting the mass-radius curves below those predicted by Newtonian gravity. This lowers also the specific heat of white dwarfs, accelerating their cooling process. Finally, we derive parametric expressions from our results to expedite future analyses of white dwarfs in scalar-tensor theories.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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