Free Hyperboloidal Evolution of the Einstein-Maxwell-Klein-Gordon System

Fuente: arXiv
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Auteurs principaux: Álvares, João D., Vaño-Viñuales, Alex
Format: Preprint
Publié: 2025
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author Álvares, João D.
Vaño-Viñuales, Alex
author_facet Álvares, João D.
Vaño-Viñuales, Alex
contents We present simulations of the Einstein-Maxwell-Klein-Gordon system on compactified hyperboloidal slices. To the best of our knowledge, this is the first time that this setup is evolved with a common formulation like BSSN/Z4. Hyperboloidal slices smoothly reach future null infinity, the only location in spacetime where radiation (such as gravitational waves) is unambiguously defined. We are thus able to reach null infinity and extract signals there. We showcase the capabilities of our implementation in spherical symmetry with the evolution of a charged scalar field perturbing a regular spacetime and near an electrically charged black hole. We also present the collapse of a charged scalar field into a Reissner-Nördstrom black hole.
format Preprint
id arxiv_https___arxiv_org_abs_2505_17176
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Free Hyperboloidal Evolution of the Einstein-Maxwell-Klein-Gordon System
Álvares, João D.
Vaño-Viñuales, Alex
General Relativity and Quantum Cosmology
We present simulations of the Einstein-Maxwell-Klein-Gordon system on compactified hyperboloidal slices. To the best of our knowledge, this is the first time that this setup is evolved with a common formulation like BSSN/Z4. Hyperboloidal slices smoothly reach future null infinity, the only location in spacetime where radiation (such as gravitational waves) is unambiguously defined. We are thus able to reach null infinity and extract signals there. We showcase the capabilities of our implementation in spherical symmetry with the evolution of a charged scalar field perturbing a regular spacetime and near an electrically charged black hole. We also present the collapse of a charged scalar field into a Reissner-Nördstrom black hole.
title Free Hyperboloidal Evolution of the Einstein-Maxwell-Klein-Gordon System
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2505.17176