论文标题
$ f（q）$重力中的嵌入过程和虫洞解决方案
Embedding procedure and wormhole solutions in $f(Q)$ gravity
论文作者
论文摘要
出现在一般相对论（GR）但尚未观察到到目前为止的有趣解决方案是虫洞。这个异国情调的解决方案描述了一个拓扑桥，该拓扑桥连接了两个不同的宇宙或两个不同的宇宙中的两个不同点。众所周知，可穿越的虫洞溶液违反了GR中的所有能量条件，从而导致其不稳定。在这项工作中，我们将针对$ f（q）$重力推出新的虫洞解决方案，其中$ q $是非金属标量，这是负责重力互动的。使用嵌入过程得出了限制这些虫洞溶液的能量条件。该过程包括重写解决方案的密度和压力，如一般相对论所呈现的那样。然后，来自新的重力理论的非平凡贡献被嵌入到有效的密度和压力方程中。除了我们的方法外，我们还仔细分析了$ f（q）$型号的两个家族，并使用了两个不同的形状功能来为每种$ f（q）$型号构建虫洞解决方案。我们将提出新的情况，并有可能在存在异国情调的情况下满足SEC或DEC能量条件的可遍历虫洞。
An intriguing solution that appears in General Relativity (GR) but has not been observed so far is the wormhole. This exotic solution describes a topological bridge connecting two distinct universes or two different points in the same universe. It is known that the traversable wormhole solutions violate all the energy conditions in GR, resulting in their instability. In this work, we are going to unveil new wormhole solutions for $f(Q)$ gravity where $Q$ is the non-metricity scalar, which is responsible for the gravitational interaction. The energy conditions to constraint these wormhole solutions were derived using the embedding procedure. This procedure consists of rewriting the density and the pressures of the solutions as those presented by General Relativity. Then, the nontrivial contributions coming from new theories of gravity are embedded into the effective equations for density and pressures. Along with our approach, we carefully analyze two families of $f(Q)$ models and we used two different shape functions to build the wormholes solutions for each of these $f(Q)$ models. We are going to present new scenarios with the possibility of traversable wormholes satisfying SEC or DEC energy conditions in the presence of exotic matter.
