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Is the cosmological constant an eigenvalue?
General Relativity and Gravitation ( IF 2.8 ) Pub Date : 2021-03-11 , DOI: 10.1007/s10714-021-02800-8
Giovanni Manfredi

We propose to reinterpret Einstein’s field equations as a nonlinear eigenvalue problem, where the cosmological constant \(\Lambda \) plays the role of the (smallest) eigenvalue. This interpretation is fully worked out for a simple model of scalar gravity. The essential ingredient for the feasibility of this approach is that the classical field equations be nonlinear, i.e., that the gravitational field is itself a source of gravity. The cosmological consequences and implications of this approach are developed and discussed.



中文翻译:

宇宙常数是特征值吗?

我们建议将爱因斯坦的场方程重新解释为非线性特征值问题,其中宇宙常数\(\ Lambda \)扮演(最小)特征值的角色。对于简单的标量重力模型,可以完全理解该解释。这种方法的可行性的基本要素是经典场方程是非线性的,即引力场本身就是引力的来源。开发并讨论了这种方法的宇宙学后果和含义。

更新日期:2021-03-11
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