Abstract
In this paper we present geometry which has been designed to fit a layperson's description of a 'time machine'. It is a box which allows those within it to travel backwards and forwards through time and space, as interpreted by an external observer. Timelike observers travel within the interior of a 'bubble' of geometry which moves along a circular, acausal trajectory through spacetime. If certain timelike observers inside the bubble maintain a persistent acceleration, their worldlines will close.
Our analysis includes a description of the causal structure of our spacetime, as well as a discussion of its physicality. The inclusion of such a bubble in a spacetime will render the background spacetime non-orientable, generating additional consistency constraints for formulations of the initial value problem. The spacetime geometry is geodesically incomplete, contains naked singularities, and requires exotic matter.
Our analysis includes a description of the causal structure of our spacetime, as well as a discussion of its physicality. The inclusion of such a bubble in a spacetime will render the background spacetime non-orientable, generating additional consistency constraints for formulations of the initial value problem. The spacetime geometry is geodesically incomplete, contains naked singularities, and requires exotic matter.
| Original language | English |
|---|---|
| Article number | 095006 |
| Journal | Classical Quantum Gravity |
| Volume | 34 |
| Issue number | 9 |
| Early online date | 8 Mar 2017 |
| DOIs | |
| Publication status | Published - 31 Mar 2017 |