In QFT, virtual particles can be produced from vacuum, say, (M,0,0,0) and (-M,0,0,0)

In Einstein's theory, if we consider the (-M,0,0,0) virtual particle, make it's energy-momentum tensor and solve the Einstein equation, and take the limit of weak field, we find the potential it produces for other real particles is positive, so it gives a exculsive force.

Is it right? if so, can the negative-energy particle fall into the blackhole? because if the negative energy particle has anti-gravity, it can never go into a place that have infinity high potential energy.

Thank you!