牛顿虫洞
Newtonian wormholes
摘要：
本文提出了一种在牛顿引力作用下，通过Ricci标量与质量密度之间的关系方程得到的虫洞解。虫洞位于一个球对称的弯曲空间，有一个喉道和两个渐近平坦的区域。在这种几何中的粒子动力学进行了研究，和三个不同的动力学半径，即测地线，圆周和曲率半径，自然出现在圆周运动的研究。并对一般运动进行了分析。一个极限的例子，虽然不确定，暗示了在有限（非零）大小的区域中存在牛顿黑洞的可能性。
英文摘要：
A wormhole solution in Newtonian gravitation, enhanced through an equation relating the Ricci scalar to the mass density, is presented. The wormhole inhabits a spherically symmetric curved space, with one throat and two asymptotically flat regions. Particle dynamics in this geometry is studied, and the three distinct dynamical radii, namely, the geodesic, circumferential, and curvature radii, appear naturally in the study of circular motion. Generic motion is also analysed. A limiting case, although inconclusive, suggests the possibility of having a Newtonian black hole in a region of finite (nonzero) size.
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