Hi AntonioLao and all,
You said above that Einstein's field equations of general relativity were "first as symmetric then later on his unfinished works on the non-symmetric tensors." As far as I know, Einstein first thought the universe to be static and in order to counter the gravitational force in his equations, he introduced a 'cosmological constant" . Later, mainly through the work of Edward Hubble, when the idea of an expanding universe, and the Hubble's constant became popular among scientists, Einstein regarded his introduction of the "Cosmological constant" as wrong" and seemed to have accepted the idea that the universe could be expanding.
Hubble showed that light coming from galaxies have a red shift and the further the galaxies were from us , the greater the red shift of the light coming from these galaxies. He speculated that the red shift of the light coming from distant galaxies were due to the Doppler effect and thus he concluded that the universe was expanding.
However, Einstein has shown that light passing through a gravitational field is also red shifted and this is known as a gravitational red shift. It is well known that in the universe there exists a universal gravitational constant acting throughout the universe. This would mean that light passing through the universe is constantly passing through a gravitational field which in turn would also affect the red shift of the light. The longer the light travels through the universe, the greater would be its red shift. This could mean that the galaxies are not possibly drawing faster and faster away from us, and also that the universe may not possibly be expanding.
This could mean that Einstein's first inspiration of a static universe could be right. He was distracted from his ideas because of Hubble's monumental work but may be with a false interpretation of the nature of red shift of the light coming from distant galaxies. Also, this could mean that Einstein speculation of his 'cosmological constant' was right and this could be the anti-gravity force operating in the universe that scientists love to speculate about today.
Yours Cosvis.


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