论文标题
广告 - 梅尔文的几何形状
Geometry of AdS-Melvin Spacetimes
论文作者
论文摘要
我们研究了梅尔文空间的概括，描述了磁通量的重力管。我们发现，狭窄的Fluxtubes具有强磁场但几乎没有总通量，大约在$λ= 0 $ case的尺度上比广告尺度小的情况保持不变。但是，具有弱场的Fluxtubes（对于$λ= 0 $）可以任意地在半径上生长较大并携带无界磁通量，而半径限制了ADS尺度，并且像狭窄的Fluxtubes一样，仅带有较小的总通量。结果，有一个最大磁通量$φ_{max} =2π/\ sqrt {-λ} $，可以通过ADS中的静态Fluxtubes携带。对于Flux $φ__{tot} <φ__{max} $有两个解决方案分支，一个分支在半径上总是比另一个分支更窄。我们计算ADS-Melvin Fluxtube的ADM质量和张力，发现溶液的较宽半径始终具有较低的质量。在消失的通量的极限下，该分支减少到soliton。
We study asymptotically AdS generalizations of Melvin spacetimes, describing gravitationally bound tubes of magnetic flux. We find that narrow fluxtubes, carrying strong magnetic fields but little total flux, are approximately unchanged from the $Λ=0$ case at scales smaller than the AdS scale. However, fluxtubes with weak fields, which for $Λ=0$ can grow arbitrarily large in radius and carry unbounded magnetic flux, are limited in radius by the AdS scale and like the narrow fluxtubes carry only small total flux. As a consequence, there is a maximum magnetic flux $Φ_{max} = 2π/\sqrt{-Λ}$ that can be carried by static fluxtubes in AdS. For flux $Φ_{tot}<Φ_{max}$ there are two branches of solutions, with one branch always narrower in radius than the other. We compute the ADM mass and tensions for AdS-Melvin fluxtube, finding that the wider radius branch of solutions always has lower mass. In the limit of vanishing flux, this branch reduces to the AdS soliton.
