"I point out that the often voiced claim that in the general theory of relativity (GR) geometry and gravity are ‘associated’ with each other can be understood in three different ways. The geometric interpretation asserts that gravity can be reduced to spacetime geometry, the field interpretation claims that the geometry of spacetime can be reduced to the behaviour of gravitational fields, and the egalitarian interpretation affirms that gravity and spacetime geometry are conceptually identified."
"I point out that the often voiced claim that in the general theory of relativity (GR) geometry and gravity are ‘associated’ with each other can be understood in three different ways. The geometric interpretation asserts that gravity can be reduced to spacetime geometry, the field interpretation claims that the geometry of spacetime can be reduced to the behaviour of gravitational fields, and the egalitarian interpretation affirms that gravity and spacetime geometry are conceptually identified."
https://www.sciencedirect.com/science/article/abs/pii/S18711....