Warp Drives and Martel-Poisson charts

TL;DR

This paper generalizes warp drive spacetimes using Martel-Poisson charts, revealing new properties like conical singularities and NEC violations, with implications for spacetime expansion, horizons, and light cone tilting.

Contribution

It introduces an infinite class of warp drive solutions with non-flat spatial metrics using Martel-Poisson charts, expanding the theoretical landscape of warp drive models.

Findings

Identified conical singularities in higher-dimensional warp drives.

Analyzed NEC violations and their scalings due to conical defects.

Discussed properties like light cone tilting and horizons in these spacetimes.

Abstract

We extend the construction of Alcubierre-Nat\'{a}rio class of warp drives to an infinite class of spacetimes with similar properties. This is achieved by utilising the Martel-Poisson charts which closely resembles the Weak Painlev\'{e}-Gullstrand form for various background metrics (Mink, AdS, dS). The highlight of this construction is the non-flat intrinsic metric which in three dimensional spacetimes introduce conical singularities at the origin and in higher dimensions generates non-zero Ricci scalar for the spatial hypersurfaces away from the origin. We analyse the expansion/contraction of space and the (NEC) violations associated with these warp drives and find interesting scalings due to the global imprints of the conical defects. Other properties like tilting of light cones, event horizons and several generalisations are also discussed.