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

Fernando Loup (1)

1 REU - Residencia De Estudantes Universitas

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.

Domaines: Physique mathématique [math-ph]

Fernando Loup. 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. 2012. ⟨hal-00736930⟩