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RE:More gravity...
Your sudden collapse would have a wavefront of approximately spherical shape. Every point outside this sphere would feel the gravity field as if the star were still there, every point inside would simply feel no gravity pull. There is no extra pull. If you fix something in that point of space with a nail, while it is in the outside region it feels the normal gravitational pull of the star, and when the wave front reach it and pass it, it will simply feel released from this pull.
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