Scalar field equation with torsion induced non linearity: aspects of solutions in RW and Minkowski space-time

A. Zecca
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引用次数: 0

Abstract

A massive scalar field equation with non linear torsion induced term, is studied in a form slightly different from the one previously considered. The object is of both discussing solutions of the equation and suggesting physical interpretation. In the Robertson-Walker metric a variable separation method is applied in analogy of what done for non linear spin 1/2 and 1 field equation in RW metric. The angular separated equation is suitably integrated and the time and radial dependence further discussed. In the Minkowski space time, solutions that are small perturbations of plane waves solutions are discussed. In the given approximation, the perturbation produces a modification of both the velocity of propagation and, more sensibly, of the amplitude of the unperturbed solution.
具有扭转诱导非线性的标量场方程:RW和Minkowski时空解的方面
本文研究了一类具有非线性扭转诱导项的大规模标量场方程,其形式与先前考虑的形式略有不同。目的是讨论方程的解和提出物理解释。在Robertson-Walker度规中,采用了一种变量分离方法,类比了RW度规中非线性自旋1/2和1场方程的分离方法。对角分离方程进行了适当的积分,并进一步讨论了时间和径向的相关性。在闵可夫斯基时空中,讨论了平面波解的小扰动解。在给定的近似中,扰动产生了传播速度的修正,更确切地说,产生了未扰动解的振幅的修正。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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