I would like to gain an understanding of the nature of the characteristics of space, as described in Einstein's theories. I appreciate that an answer using the language of mathematics is probably most applicable, but would not aid my comprehension in view of my deficit in this area. It would, therefore, be appreciated if responders could take this into account.
For example, when, spacetime is described as being bent/warped/curved by a gravitational field created by a massive object, what is undergoing this deformation? Is it only a mathematical construction that is being warped or is there something tangible that is undergoing this process of curvature?
Professor Brian Greene, in a YouTube presentation, described 'empty space'i.e. what was left after removing all matter (the dark matter was not discussed) as being cable of undergoing 'rippling', 'bending'' 'twisting'. So my curiosity was naturally fuelled by his description.
Grateful for clarification, if this is possible.