Static spherically symmetric Einstein-Vlasov bifurcations of the\n Schwarzschild spacetime

2020/01/23 by Fatima Ezzahra Jabiri, Jabiri, Fatima Ezzahra · 3 citations
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #General Relativity and Quantum Cosmology (gr-qc)

paper · pdf · doi:10.48550/arxiv.2001.08645

openalex publication_date 2020/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We construct a one-parameter family of static and spherically symmetric\nsolutions to the Einstein-Vlasov system bifurcating from the Schwarzschild\nspacetime. The constructed solutions have the property that the spatial support\nof the matter is a finite, spherically symmetric shell located away from the\nblack hole. Our proof is mostly based on the analysis of the set of trapped\ntimelike geodesics and of the effective potential energy for static spacetimes\nclose to Schwarzschild. This provides an alternative approach to the\nconstruction of static solutions to the Einstein-Vlasov system in a\nneighbourhood of black hole vacuum spacetimes.\n

Citations

• Relativistic Kinetic Theory of a Simple Gas
• Strong cosmic censorship for T²-symmetric cosmological spacetimes with collisionless matter

Cited by

• Rotating Kinetic Gas Disk Morphology Surrounding a Schwarzschild Black Hole
• Accretion of a Vlasov gas by a Kerr black hole
• Charged black holes surrounded by shells of charged particles

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