Why "-1 + 0j" is critical point on Nyquist plot?
According to the Barkausen oscillation criterion, the loop gain LG must be unity (magnitude unity and zero phase) at a certain (desired) oscillation frequency.
Hence, this condition (unity loop gain, LG=+1) is the stability limit.

On the other hand, the DC operational point of the active device requires NEGATIVE feedback for DC (factor "-1"). That means: If the circuit (open feedback loop) reaches the stability limit, the frequency-determining part of the whole loop must exhibit an aditional phase shift of -180deg.

It is common practice to create a Nyquist plot for this part of the loop gain only (without the minus sign at the summing node for negative feedback). 

Hence, the stability limit in the Nyquist plot for this part of the loop (without the minus sign) is at unity magnitude(1) and -180deg (on the negative real axis of the s-plane): 

Critical point in the s-plane: "-1".

Comment: In analogsystemsrf`s answer the product GH is identical to product of the transfer functions of the whole loop - WITHOUT the negative sign (-1) at the summing junction. Hence, the complete loop gain of the whole loop is LG=-G*H.