In 1994 Alcubierre developed the first warp drive work using the original 3+1 ADM-MTW formalism.Seven years later in 2001 the same original 3+1 ADM-MTW formalism appeared in the first part of the second warp drive work developed by Natario. But in 1997 the concept of the Relativistic Geometrical Horizon RGH was introduced by Hiscock in his work about the Alcubierre warp drive. According to Hiscock if the time component of a given spacetimemetric tensor becomes null g_(00)=0 a Horizon similar to the Event Horizon of the Schwarzschild black hole appears. The Alcubierre warp drive suffers from this pathology because in a given point of the Alcubierre warped regionthe g_(00)=0 appears generating the Alcubierre Horizon equivalent to the Event Horizon of the Schwarzschild black hole.The Natario warp drive was formulated in polar coordinates in a2+1 spacetime.A dimensional reduction of the Natario warp drive from a 2+1 to a 1+1 spacetimes in a given point of the Natariowarped region the g_(00)=0 appears generating the Natario Horizon in a 1+1 spacetime.But in the original Natario warp drive in polar coordinates in a 2+1 spacetime the g_(00)=0 never appears.Due to the presence of a second spatial dimension the g_(00)=0 can be avoided.