As the Friedman’s method of general relativity equation solution for Universe ; there is no relation considered between space and time at it’s metric . It means that the Universe

expands only at space (individual from time) . If Universe expanding is time- spatial , as expected , then related time-space metric and the complex mass background will be necessary . I'm not a mathematician an not a physicist so I can’t calculate the equations .

Would you please tell me is the Imaginative part of mentioned mass with high desorption is the same dark energy force for additional expanding of Universe ?

thanks