The Euclidean-hyperboloidal foliation method: application to f(R) modified gravity

LeFloch, Philippe G.; Ma, Yue

doi:10.1007/s10714-024-03250-8

Gen Relativ Gravit

2024

DOI: 10.1007/s10714-024-03250-8

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The Euclidean-hyperboloidal foliation method: application to f(R) modified gravity

Philippe G. LeFloch,

Yue Ma

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2024

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Hyperbolic times in Minkowski space

Zenginoğlu

2024

American Journal of Physics

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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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Hyperbolic times in Minkowski space

Zenginoğlu

2024

American Journal of Physics

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The Euclidean-hyperboloidal foliation method: application to f(R) modified gravity

Cited by 1 publication

References 59 publications

Hyperbolic times in Minkowski space

Hyperbolic times in Minkowski space

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