Evans统一场论II的评价
An assessment of Evans' unified field theory II
摘要:
埃文斯在时空服从黎曼-嘉当几何的背景下发展了引力和电磁的经典统一场论。在第一篇论文中,我们分析了这个理论,并将其总结为九个方程。我们现在提出一个适用于Evans理论的变分原理,并证明它产生两个场方程。第二个场方程在挠率中是代数的,我们可以用挠率来解它。事实证明,对于所有的物理情况下,扭转消失,第一场方程,连同埃文斯的统一场论,崩溃到一个普通的爱因斯坦方程。
英文摘要:
Evans developed a classical unified field theory of gravitation and electromagnetism on the background of a spacetime obeying a Riemann-Cartan geometry. In an accompanying paper I, we analyzed this theory and summarized it in nine equations. We now propose a variational principle for Evans' theory and show that it yields two field equations. The second field equation is algebraic in the torsion and we can resolve it with respect to the torsion. It turns out that for all physical cases the torsion vanishes and the first field equation, together with Evans' unified field theory, collapses to an ordinary Einstein equation.
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