Relativity and Cosmology

   

The Analysis of Gianluca Perniciano Applied to the Natario Warp Drive Spacetime in Both the Original and Parallel $3+1$ $adm$ Formalisms:

Authors: Fernando Loup

Warp Drives are solutions of the Einstein Field Equations that allows superluminal travel within the framework of General Relativity. There are at the present moment two known solutions: The Alcubierre warp drive discovered in $1994$ and the Natario warp drive discovered in $2001$. However the major drawback concerning warp drives is the huge amount of negative energy density able to sustain the warp bubble.In order to perform an interstellar space travel to a "nearby" star at $20$ light-years away in a reasonable amount of time a ship must attain a speed of about $200$ times faster than light.However the negative energy density at such a speed is directly proportional to the factor $10^{48}$ which is $1.000.000.000.000.000.000.000.000$ times bigger in magnitude than the mass of the planet Earth!!. With the correct form of the shape function the Natario warp drive can overcome this obstacle at least in theory.Other drawbacks that affects the warp drive geometry are the collisions with hazardous interstellar matter(asteroids,comets,interstellar dust etc)that will unavoidably occurs when a ship travels at superluminal speeds and the problem of the Horizons(causally disconnected portions of spacetime).The geometrical features of the Natario warp drive are the required ones to overcome these obstacles also at least in theory.Recently Gianluca Perniciano a physicist from Italy appeared with a very interesting idea for the Alcubierre warp drive spacetime:he introduced in the Alcubierre equations a coefficient which is $1$ inside and outside the warp bubble but possesses large values in the Alcubierre warped region thereby reducing effectively the negative energy density requirements making the warp drive more "affordable" even at $200$ times light speed.In this work we reproduce the Perniciano analysis for the Natario warp drive spacetime in both the original and parallel $ADM$ formalisms.

Comments: 62 Pages.

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Submission history

[v1] 2015-08-06 02:34:45

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