There exist evidence that space time fabric can be curved arround massive objects?
i mean how?
can any one explain?
We have observed the light from distant stars being curved around the sun during eclipses.
"Curved" is based on Euclidean Geometry. Space-time does not follow Euclidean geometry, it follow Riemann geometry and objects naturally follow Riemann straight lines, called geodesics, in space-time. From the reference point of Euclidean geometry, these straight lines appear curved although in their own frame, they are straight lines.
As an analogy, think of a straight line on the surface of the Earth. This forms a curve (specifically a circle).
Gravity causes things to follow geodesics so when light goes close to a massive object such as a star or a galaxy, it follows a geodesic, which in Euclidean terms appears curved.
All tidal effects are evidence of spacetime curvature, including the fact that satellites in free fall can accelerate relative to each other.
Experimenta confirm GR to a high degree of precisiom, and GR describes gravity as spacetime curvature. But that is not 'evidence that spacetime is curved', only that it offers a good description. Newtonian gravity can also be described as spacetime curvature, and GR as a massless spin-2 theory.
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