双曲隧穿的可能性
Possibility of hyperbolic tunneling
摘要：
可穿越的虫洞主要用作“实验”和理论家对广义相对论基础的探索。在这项工作中，我们分析了在双曲时空中存在隧道的可能性。我们通过将奇异物质加入到称为A类简并解的真空解中，得到了静态和伪球对称时空隧道的精确解。这些有趣的解决方案的物理性质和特点进行了探讨，并通过数学嵌入它表明，特定的约束被放置在形状函数，显着不同的莫里斯-索恩虫洞。特别是，它表明，能量密度总是负的，径向压力是积极的，在喉部，相反的莫里斯-索恩对应。具体的解决方案也提出了考虑几个状态方程，并通过施加限制的选择的形状函数或红移函数。
英文摘要：
Traversable wormhole are primarily useful as "gedanken-experiments" and as a theoretician's probe of the foundations of general relativity. In this work, we analyse the possibility of having tunnels in a hyperbolic spacetime. We obtain exact solutions of static and pseudo-spherically symmetric spacetime tunnels by adding exotic matter to a vacuum solution referred to as a degenerate solution of class A. The physical properties and characteristics of these intriguing solutions are explored, and through the mathematics of embedding it is shown that particular constraints are placed on the shape function, that differ significantly from the Morris-Thorne wormhole. In particular, it is shown that the energy density is always negative and the radial pressure is positive, at the throat, contrary to the Morris-Thorne counterpart. Specific solutions are also presented by considering several equations of state, and by imposing restricted choices for the shape function or the redshift function.
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