Inertia Manipulation through Metric Patching

TL;DR

This paper derives an exact stress-energy tensor solution for a spherical shell that allows manipulation of an object's inertial state by patching different metrics, avoiding energy condition violations.

Contribution

It provides a novel exact solution for metric patching that enables inertial manipulation without requiring infinite energy or violating energy conditions.

Findings

Exact stress-energy tensor solution for spherical shell

Inertial state manipulation without infinite energy

Avoidance of WEC violations

Abstract

This paper will present the exact solution for the stress-energy tensor of a spherical matter shell of finite thickness that will patch together different metrics at the boundaries of the shell. The choice of vacuum field solutions for the shell exterior and hollow interior that we make will allow us to manipulate the inertial state of an object within the shell. The choice will cause it to be in a state of acceleration with the shell relative to an external observer for an indefinite time. The stress-energy tensor's solution results in zero ship frame energy requirements, and only finite stress requirements, and we show how any WEC violation can be avoided.