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Global Classical Solutions to the 3D Nordström-Vlasov System

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Abstract

The Nordström-Vlasov system describes the kinetic evolution of self-gravitating collisionless matter in the framework of a relativistic scalar theory of gravitation. We prove global existence and uniqueness of classical solutions for the corresponding initial value problem in three dimensions when the initial data for the scalar field are smooth and the initial particle density is smooth with compact support.

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Author notes

  1. Simone Calogero

    Present address: Departamento de Matemática para a Ciência e Tecnologia, Campus de Azurém da Universidade do Minho, 4800-058, Guimarães, Portugal

Authors and Affiliations

  1. Institutt for Matematiske Fag, NTNU Alfred Getz’ vei 1, N-7491, Trondheim, Norway

    Simone Calogero

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  1. Simone Calogero
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Correspondence to Simone Calogero.

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Communicated by P. Constantin

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Calogero, S. Global Classical Solutions to the 3D Nordström-Vlasov System. Commun. Math. Phys. 266, 343–353 (2006). https://doi.org/10.1007/s00220-006-0029-x

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  • DOI: https://doi.org/10.1007/s00220-006-0029-x

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