论文标题
无异国物质的非交换几何虫洞
Noncommutative-geometry wormholes without exotic matter
论文作者
论文摘要
莫里斯·托恩（Morris-Thorne）虫洞的基本特性是所谓的爆发条件，在经典的一般相对论中会自动导致违反无效的能量条件（NEC）。相比之下，在$ f（r）$修饰的重力中，虫洞的材料穿线实际上可能满足NEC，而与经过修改的理论产生的有效应力能量张量违反了NEC，从而违反了NEC，从而维持了虫洞。本文中表明，非交换性几何形状（弦理论的分支）可以看作是$ f（r）$重力的一种特殊情况，因此可以在不使用异国情调的情况下维持一个虫洞。它还为在修改后的重力理论中选择$ f（r）$的选择提供了动力。
A fundamental property of Morris-Thorne wormholes is the so-called flare-out condition that automatically results in a violation of the null energy condition (NEC) in classical general relativity. By contrast, in $f(R)$ modified gravity, the material threading the wormhole may actually satisfy the NEC, while, at the same time, the effective stress-energy tensor arising from the modified theory violates the NEC, thereby sustaining the wormhole. It is shown in this paper that noncommutative geometry, an offshoot of string theory, can be viewed as a special case of $f(R)$ gravity and can therefore sustain a wormhole without the use of exotic matter. It also provides a motivation for the choice of $f(R)$ in the modified gravitational theory.
