The Geometrical Meaning of Time _ Some Cosmological Implications

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Yahalom, Asher^1

Ariel University, Ariel

40700, Israel^1

关键词: Empty space;    General Relativity;    Spatial coordinates;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012061/pdf
DOI  :  10.1088/1742-6596/574/1/012061

来源: IOP

【 摘 要 】

It is stated in many text books that the any metric appearing in general relativity should be locally Lorentzian i.e. of the type gμv diag(1, -1, -1, -1) this is usually presented as an independent axiom of the theory, which cannot be deduced from other assumptions. The meaning of this assertion is that a specific coordinate (the temporal coordinate) is given a unique significance with respect to the other spatial coordinates. It was shown that the above assertion is a consequence of requirement that the metric of empty space should be linearly stable and need not be assumed. Some cosmological implications of the above result will be suggested.