非黎曼时空几何的广义相对论
General relativity extended to non-Riemannian space-time geometry
摘要：
本文将适用于黎曼时空几何的广义相对论的引力方程推广到任意（非黎曼）时空几何的情形。所得到的方程被写在世界函数的坐标形式。这些方程直接决定了世界函数（但不仅是度规张量）。因此，时空几何似乎是非黎曼的。所得方程的不变形式使人们可以排除坐标系对动力学方程解的影响。任何相信广义相对论的人，都会接受扩展的广义相对论，因为扩展的理论没有使用任何新的假设。它只是纠正了广义相对论传统概念的不合理性和限制。扩展的广义相对论预言了一种诱导的反引力，它排除了黑洞的存在。
英文摘要：
The gravitation equations of the general relativity, written for Riemannian space-time geometry, are extended to the case of arbitrary (non-Riemannian) space-time geometry. The obtained equations are written in terms of the world function in the coordinateless form. These equations determine directly the world function, (but not only the metric tensor). As a result the space-time geometry appears to be non-Rieamannian. Invariant form of the obtained equations admits one to exclude influence of the coordinate system on solutions of dynamic equations. Anybody, who trusts in the general relativity, is to accept the extended general relativity, because the extended theory does not use any new hypotheses. It corrects only inconsequences and restrictions of the conventional conception of general relativity. The extended general relativity predicts an induced antigravitation, which eliminates existence of black holes.
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