What does the curvature of spacetime around a massive object mean?

The curvature of spacetime around a massive object means that the object warps the fabric of space and time.

When a massive object is present, it creates a curvature in the fabric of spacetime. This curvature is caused by the object's mass and is proportional to its size. The greater the mass of the object, the greater the curvature it creates. This curvature affects the motion of other objects in the vicinity of the massive object, causing them to follow a curved path.

The curvature of spacetime is responsible for the phenomenon of gravity. Objects with mass are attracted to each other because they follow the curvature of spacetime created by each other's mass. This means that the more massive an object is, the stronger its gravitational pull will be.

The curvature of spacetime also affects the passage of time. Time passes more slowly in regions of strong gravitational fields, such as near massive objects. This effect is known as time dilation and has been observed in experiments involving atomic clocks.

In summary, the curvature of spacetime around a massive object means that the object warps the fabric of space and time, affecting the motion of other objects and causing the phenomenon of gravity. It also affects the passage of time, causing time dilation in regions of strong gravitational fields.