Abstract
Application of Shoshany-Snodgrass Analysis to the Natario Warp Drive Space time with Zero Expansion
Author(s): Fernando Loup*Alcubierre and Natario developed their warp drives space times using the Arnowitt Arnowitt-DresnerDresner-Misner ADM formalism considering the lapse function α always equal to 1. Recently Barak Shoshany and Ben Snodgrass considered the possibility of warp drive space times in which the lapse function α is different than 1 in very spe cial geometric cases and we arrive at very interesting results: In order to travel to a ”nearby” star at 20 light light-years at superluminal speeds in a reasonable amount of time in months not in years a ship must attain a speed of about 200 times faster than l ight. However, the negative energy density at such a speed is directly proportional to the factor 1048 which is 1.000.000.000.000.000.000.000.000 times bigger in magnitude than the mass of the planet Earth which is” only” proportional to the factor 1024 . The lapse function allows more effectively the negative energy density requirements when a ship travels with a speed of 200 times faster than light using the Shoshany Shoshany-Snodgrass analysis. We reproduce here the Shoshany Shoshany-Snodgrass analysis to the Natario warp drive spacetime with zero expansion.
