## The Analysis of Harold White Applied to the Natario Warp Drive Spacetime. from $10$ Times the Mass of the Universe to the Mass of the Mount Everest

**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 as stated by both
Alcubierre and Natario themselves the warp drive violates all the
known energy conditions because the stress energy momentum tensor
is negative implying in a negative energy density. While from a
classical point of view the negative energy is forbidden the
Quantum Field Theory allows the existence of very small amounts of
it being the Casimir effect a good example as stated by Alcubierre
himself.The major drawback concerning negative energies for the
warp drive is the huge amount of negative energy able to sustain
the warp bubble.Ford and Pfenning computed the amount of negative
energy needed to maintain an Alcubierre warp drive and they
arrived at the result of $10$ times the mass of the entire
Universe for a stable warp drive configuration rendering the warp
drive impossible.However Harold White manipulating the parameter
$@$ in the original shape function that defines the Alcubierre
spacetime demonstrated that it is possible to low these energy
density requirements.We repeat here the Harold White analysis for
the Natario spacetime and we arrive at similar conclusions.From
$10$ times the mass of the Universe we also manipulated the
parameter $@$ in the original shape function that defines the
Natario spacetime and we arrived at a result of $10$ billion tons
of negative mass to maintain a warp drive moving with a speed
$200$ times faster than light.Our result is still a huge number
about the weight of the Everest Mountain but at least it is better
than the original Ford-Pfenning result of $10$ times the mass of
the Universe.The main reason of this work is to demonstrate that
Harold White point of view is entirely correct.

**Comments:** 14 pages.This will be submitted to appreciation by NASA scientists

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### Submission history

[v1] 2012-09-30 15:49:59

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