论文标题
在渐近安全重力中广义的Ellis-Bronnikov虫洞
Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity
论文作者
论文摘要
在本文中，我们研究了一类蠕虫溶液在渐近安全重力（ASG）的背景下，称为广义Ellis-Bronnikov虫洞。这些解决方案的特征是两个参数：偶数$ n $和虫洞喉咙半径$ r_t $。特定的情况$ n = 2 $恢复了通常的Ellis-Bronnikov时空，该时期已经解决了文献。我们使用ASG方法中的三个曲率标量量，即RICCI标量，平方Ricci和Kretschmann标量表，分析了这些具有$ n> 2 $的广义溶液中物质的性质。我们已经证明，ASG仅针对$ n = 4 $ case而在虫洞的喉咙上进行了更正。对于平方的Ricci和Kretschmann，我们发现始终需要异国情调的物质，如前所述，对于通常的Ellis-Bronnikov所示。但是，对于RICCI标量案例，我们发现喉咙允许普通物质。因此，广义的Ellis-Bronnikov虫洞提供了在渐近安全的重力下在喉咙上有普通物质的可能性。
In this paper we study a class of wormhole solutions called generalized Ellis-Bronnikov wormholes in the context of asymptotically safe gravity (ASG). These solutions are characterized by two parameters: an even number $n$ and the wormhole throat radius $r_t$. The particular case $n=2$ recovers the usual Ellis-Bronnikov spacetime, which has already been addressed in the literature. We analyzed the nature of matter in the wormhole's throat, and in nearby regions, of these generalized solutions with $n>2$, using three curvature scalars in the ASG approach, namely, the Ricci scalar, squared Ricci and the Kretschmann scalar. We have shown that the ASG leads to corrections in the matter at the wormhole's throat only for the $n=4$ case. For the squared Ricci and the Kretschmann we find that exotic matter is always necessary, as previously found for the usual Ellis-Bronnikov. However, for the Ricci scalar case, we found that ordinary matter is allowed at the throat. Therefore, the generalized Ellis-Bronnikov wormhole provides to the possibility of having ordinary matter at the throat in the context of asymptotically safe gravity.
