标题： 自相似Wyman时空 显示英文标题

标题： Homothetic Wyman Spacetimes

摘要： 统一场论中具有时间依赖性且球对称的Wyman部分被证明等价于一个自引力标量场，该标量场具有正定的排斥自相互作用势。在基本张量上施加了相似对称性，并得到了数值积分的自治系统。在临界点（塌缩时空与非塌缩时空之间）附近，系统显示出在塌缩和弥散时期之间的近似周期交替现象。 显示英文摘要

摘要： The time-dependent, spherically symmetric, Wyman sector of the Unified Field Theory is shown to be equivalent to a self-gravitating scalar field with a positive-definite, repulsive self-interaction potential. A homothetic symmetry is imposed on the fundamental tensor, and the resulting autonomous system is numerically integrated. Near the critical point (between the collapsing and non-collapsing spacetimes) the system displays an approximately periodic alternation between collapsing and dispersive epochs.