Wave propagation in the anti-deSitter optical metric

TL;DR

This paper investigates wave propagation in anti-deSitter spacetime using contact transformations, providing a new technique to analyze light kinematics in bi-metric media and exploring explicit examples in Minkowski and anti-deSitter geometries.

Contribution

It introduces a general method to find contact transformations for light kinematics in bi-metric spacetimes, with explicit applications to Minkowski and anti-deSitter geometries.

Findings

Developed a technique to identify contact transformations in bi-metric spacetimes.

Applied the method to Minkowski and anti-deSitter geometries.

Provided explicit examples illustrating wave propagation in these geometries.

Abstract

In this work, we use the fact that kinematics of light propagation in a non-dispersive medium associated with a bi-metric spacetime is expressed by means of a 1-parameter family of contact transformations. We present a general technique to find such transformations and explore some explicit examples for Minkowski and anti-deSitter spacetimes geometries.