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Solutions without singularities in gauge theory of gravitation

机译:重力规理论中没有奇点的解

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A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying space-time is not affected by physical events. The field equations are written and their solutions without singularities are obtained by imposing some constraints on the invariants of the model. An example of such a solution is given and its dependence on the cosmological constant is studied. A comparison with results obtained in General Relativity theory is also presented.
机译:利用球形对称Minkowski时空作为基础流形,建立了引力场的De-Sitter规范理论。重力场由标尺势来描述,而基础时空的数学结构不受物理事件的影响。通过对模型的不变量施加一些约束,编写了场方程,并获得了不具有奇点的解。给出了这种解决方案的一个例子,并研究了其对宇宙常数的依赖性。还提出了与广义相对论中获得的结果的比较。

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