Exact Piecewise Flat Gravitational Waves
Maarten van de Meent
TL;DR
This paper develops an exact piecewise flat model for gravitational waves in 3+1 dimensions, enabling explicit construction of impulsive plane wavefronts and more general plane waves.
Contribution
It extends previous linear models to exact configurations, providing a method to construct explicit piecewise flat spacetimes for gravitational waves.
Findings
Constructed explicit piecewise flat impulsive plane wavefronts.
Extended linear models to exact solutions for gravitational waves.
Demonstrated how to generate more general plane waves from wavefronts.
Abstract
We generalize our previous linear result [1] in obtaining gravitational waves from our piecewise flat model for gravity in 3+1 dimensions to exact piecewise flat configurations describing exact planar gravitational waves. We show explicitly how to construct a piecewise flat spacetime that describes an impulsive plane wavefront. From these wavefronts more general plane waves may be constructed.
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