Newtonian gravity predicts the existence of white dwarfs with masses far exceeding the Chandrasekhar limit when the equation of state of the degenerate electron gas incorporates the effect of quantum spacetime fluctuations (via a modified dispersion relation) even when the strength of the fluctuations is taken to be very small. In this paper, we show that this Newtonian “super-stability” does not hold true when the gravity is treated in the general relativistic framework. Employing dynamical instability analysis, we find that the Chandrasekhar limit can be reassured even for a range of high strengths of quantum spacetime fluctuations with the onset density for gravitational collapse practically remaining unaffected.

中文翻译：

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钱德拉塞卡极限对修正色散关系的展望

当简并电子气的状态方程包含量子时空涨落的影响（通过修正的色散关系）时，牛顿引力预测存在质量远远超过钱德拉塞卡极限的白矮星，即使涨落的强度被认为是很小。在本文中，我们表明，当在一般相对论框架中处理引力时，这种牛顿的“超稳定性”并不成立。采用动态不稳定性分析，我们发现即使对于一系列高强度的量子时空波动，钱德拉塞卡极限也可以放心，而引力坍缩的起始密度实际上不受影响。