A Note on Einstein's Lambda Force

J.D. Barrow explains in his 'The Book of Nothing' some facts and history of Einstein's development of the Lambda force in the context of developing the general theory of relativity (on page 180). He had already explained that {geometry} = {distribution of mass and energy} in the universe as regards the shape of space as a fundamentally theory before upgrades. Because Einstein wanted to make his theory fit nicely with Newton's gravitational theory he tested it with Newton's values and found that with Newton's inverse square law plugged in his simple universal model couldn't form an unchanging universe. So he invented a new force with an effect opposite to Gravity that he named Lambda to balance out the values of the equation so the universe could have a steady state (he didn't know the Universe is expanding).

Barrow writes that the Lambda force was postulated to increase with distance. I haven't read that anyplace else as simple said and find it remarkable. I had thought that the force increased with time accelerating the expansion of the Universe because of the reduction of the masking effect of gravity when mass was more broadly distributed in smaller bits of mass.

What kind of force increases with distance and why? What logic might be found in that?

The best thing I can think of immediately is that Lambda and gravity together comprise a field like that of the two poles of magnetism. The force might exist in extra dimensions.

Another possibility is that space time is displaced by gravitational contraction of mass in some way and accelerates space in other directions in compensation. Lambda however is generally regarded by physicists as some kind of force that is yet undetected. It would be a nice power particle-wave for space ships I would think, given enough time. Yet what direction or dimensions space-time(if really unified) is apt to travel in when accelerated by Lambda is hard to say I'd guess. Maybe it accelerates the expansion of smaller dimensions as well?

Another note I want to make on Barrow's book is the description of the man who first predicted the Universe is expanding based on his own mathematical interpretation of Einstein's General Theory. Alexander Friedmann made the theory and was credited before dying at age 35. Friedmann made a high altitude scientific balloon trip that damaged his health. That seems like a remarkable incident itself as it was at the edge of mankind's access to the horizon of being.