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arXiv · 2404.01528

Hyperbolic times in Minkowski space

Anıl Zenginoğlu
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Abstract

Time functions with asymptotically hyperbolic geometry play an increasingly important role in many areas of relativity, from computing black-hole perturbations to analyzing wave equations. Despite their significance, many of their properties remain underexplored. In this expository article, I discuss hyperbolic time functions by considering the hyperbola as the relativistic analog of a circle in two-dimensional Minkowski space and argue that suitably defined hyperboloidal coordinates are as natural in Lorentzian manifolds as spherical coordinates are in Riemannian manifolds.

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Anıl Zenginoğlu. 2024-04-01. Hyperbolic times in Minkowski space. https://doi.org/10.1119/5.0214271

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