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 10 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 10 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.
