Title: Wormholes leading to extra dimensions Show Chinese title

Title: 通往额外维度的虫洞

Abstract: In 6D general relativity with a scalar field as a source of gravity, a new type of static wormhole solutions is presented: such wormholes connect our universe with a small 2D extra subspace with a universe where this extra subspace is large, and the whole space-time is effectively 6-dimensional. We consider manifolds with the structure M0 x M1 x M2 , where M0 is 2D Lorentzian space-time while each of M1 an M2 can be a 2-sphere or a 2-torus. After selecting possible asymptotic behaviors of the metric functions compatible with the field equations, we give two explicit examples of wormhole solutions with spherical symmetry in our space-time and toroidal extra dimensions. In one example, with a massless scalar field (it is a special case of a well-known more general solution), the extra dimensions have a large constant size at the "far end"; the other example contains a nonzero potential $V(\phi)$ which provides a 6D anti-de Sitter asymptotic, where all spatial dimensions are infinite. Show Chinese abstract

Abstract: 在具有标量场作为引力源的6维广义相对论中，提出了一种新型的静态虫洞解：这种虫洞将我们的宇宙与一个二维额外子空间连接起来，在这个子空间中宇宙很小，而在另一个宇宙中这个额外子空间很大，整个时空在本质上是6维的。 我们考虑具有结构 M0 x M1 x M2 的流形，其中 M0 是二维洛伦兹时空，而 M1 和 M2 每个都可以是二维球面或二维环面。 在选择与场方程相容的度规函数可能的渐进行为之后，我们在我们的时空和环面额外维度中给出了两个具有球对称性的虫洞解的显式例子。 在一个例子中，无质量标量场（它是众所周知的更一般解的一个特例），额外维度在“远端”具有大而恒定的尺寸；另一个例子包含一个非零势$V(\phi)$，它提供了一个6维反德西特渐进行为，其中所有空间维度都是无限的。