Constant Velocity Physical Warp Drive Solution

TL;DR

This paper presents a novel constant-velocity warp drive solution that satisfies all energy conditions by combining a stable matter shell with a specific shift vector, advancing theoretical feasibility of warp drives.

Contribution

It introduces a warp drive model with a matter shell that meets energy conditions, unlike previous solutions that violated them.

Findings

The solution satisfies all classical energy conditions.

The spacetime metric was generated numerically.

The shift vector cannot be simplified to a coordinate transformation.

Abstract

Warp drives are exotic solutions of general relativity that offer novel means of transportation. In this study, we present a solution for a constant-velocity subluminal warp drive that satisfies all of the energy conditions. The solution involves combining a stable matter shell with a shift vector distribution that closely matches well-known warp drive solutions such as the Alcubierre metric. We generate the spacetime metric numerically, evaluate the energy conditions, and confirm that the shift vector distribution cannot be reduced to a coordinate transformation. This study demonstrates that classic warp drive spacetimes can be made to satisfy the energy conditions by adding a regular matter shell with a positive ADM mass.