Spherically symmetric Einstein–Maxwell theory and loop quantum gravity corrections
Spherically symmetric Einstein–Maxwell theory and loop quantum gravity corrections
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球对称爱因斯坦-麦克斯韦理论和圈量子引力修正
DOI：
10.1088/0264-9381/29/23/235012
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发表时间：
2012
影响因子：
3.5
通讯作者：
Rakesh Tibrewala
中科院分区：
文献类型：
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作者：
Rakesh Tibrewala
考虑了圈量子引力中发生的逆三分量修正和(点)完整修正对Reissner-Nordström黑洞性质的影响。用未修改的约束代数进行逆三分量校正的版本揭示了(在有限的质量范围内)发生三个视界的可能性，并且还显示了一个质量阈值，超过该阈值，内视界消失。对于具有修改的约束代数的版本，坐标变换不再是良好的对称性。利用相空间到时空映射的量子概念，恢复了时空的协方差性质。在这些修正的两个版本中产生的量子效应可以与质量、电荷或波函数的重整化相关联。在这两个版本中，牛顿常数都没有重新正规化。(点)全息修正被证明排除了约束代数的未变形版本也是静态解，尽管存在与时间无关的解。强调了难以为这些修正构建协变度量的一个可能原因。进一步证明了具有完整修正的形变代数蕴含着签名变化。
Effects of inverse triad corrections and (point) holonomy corrections, occurring in loop quantum gravity, are considered on the properties of Reissner–Nordström black holes. The version of inverse triad corrections with unmodified constraint algebra reveals the possibility of occurrence of three horizons (over a finite range of mass) and also shows a mass threshold beyond which the inner horizon disappears. For the version with modified constraint algebra, coordinate transformations are no longer a good symmetry. The covariance property of spacetime is regained by using a quantum notion of mapping from phase space to spacetime. The resulting quantum effects in both versions of these corrections can be associated with renormalization of either mass, charge or wavefunction. In neither of the versions, Newton’s constant is renormalized. (Point) Holonomy corrections are shown to preclude the undeformed version of constraint algebra as also a static solution, though time-independent solutions exist. A possible reason for difficulty in constructing a covariant metric for these corrections is highlighted. Furthermore, the deformed algebra with holonomy corrections is shown to imply signature change.