Singularity Theorems in the Effective Field Theory for Quantum Gravity at Second Order in Curvature
Singularity Theorems in the Effective Field Theory for Quantum Gravity at Second Order in Curvature
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DOI：
10.3390/universe6100171
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发表时间：
2019-11
期刊：
影响因子：
2.9
通讯作者：
F. Kuipers;X. Calmet
中科院分区：
文献类型：
--
作者：
F. Kuipers;X. Calmet
在本文中，我们使用有效场论方法讨论量子引力中的奇点定理。对于二阶曲率，有效场论包含两个新的自由度，这对这些定理的推导具有重要意义：一个巨大的自旋 2 场和一个巨大的自旋 0 场。使用该理论从乔丹坐标系到爱因斯坦坐标系的显式映射，我们证明了大质量自旋2场违反了零能量条件，而大质量自旋0场满足了零能量条件，但可能违反了强能量条件。由于这种违反，经典奇点定理不再适用，这表明如果考虑到主要的量子校正，则可以避免奇点。
In this paper, we discuss singularity theorems in quantum gravity using effective field theory methods. To second order in curvature, the effective field theory contains two new degrees of freedom which have important implications for the derivation of these theorems: a massive spin-2 field and a massive spin-0 field. Using an explicit mapping of this theory from the Jordan frame to the Einstein frame, we show that the massive spin-2 field violates the null energy condition, while the massive spin-0 field satisfies the null energy condition, but may violate the strong energy condition. Due to this violation, classical singularity theorems are no longer applicable, indicating that singularities can be avoided, if the leading quantum corrections are taken into account.