Welcome to these Forums hotzelj!
Yes there is lots of evidence supporting this theory, it is called Einstein's Theory of General Relativity.
Rather than just being a conceptual model GR precisely calculates the '"dimple created in space-time fabric" by the presence of massive objects.
There are lots and lots of good websites explaining this concept (
such as here) and the observations that verify it, although you cannot finally prove such a theory, as one day a modification or alternative may be proposed that makes even more accurate predictions, just as GR made more accurate predictions than Newtonian gravity.
The basic predictions of GR that have been verified to high accuracy are:
The deflection of light by the Sun (first checked during a total eclipse in 1919)
The precession of the perihelion of Mercury, (known since the 19th century but only explained by GR.)
The time delay of a spacecraft 's radio signal that passes close to the Sun.
The radiation of gravitational wave energy away from the double pulsar PSR1913+16.
The gravitational red shift of light, verified by an experiment by Pound and Rebka in 1960. (But note there may be different ways of interpreting this.)
The Eotvos experiments verifying the equivalence principle, that different objects all "fall at the same rate."
These observations and experiments have verified GR predictions to within 1% accuracy or more. Any alternative theory of gravitation must be able to repeat or better these predictions.
Note that there is a further 'laboratory' experiment, which is being evaluated at present, it is the Gravity Probe B satellite which has measured the precession of four very accurate gyroscopes as they orbited the Earth for over a year. (You can search for GP-B on these Forums)
Garth
.