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The Einstein-Vlasov System/Kinetic Theory

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abstract

The main purpose of this article is to provide a guide to theorems on global properties of solutions to the Einstein--Vlasov system. This system couples Einstein's equations to a kinetic matter model. Kinetic theory has been an important field of research during several decades in which the main focus has been on non-relativistic and special relativistic physics, i.e., to model the dynamics of neutral gases, plasmas, and Newtonian self-gravitating systems. In 1990, Rendall and Rein initiated a mathematical study of the Einstein--Vlasov system. Since then many theorems on global properties of solutions to this system have been established.

fields

gr-qc 1

years

2026 1

verdicts

CONDITIONAL 1

representative citing papers

Steering a warp drive without exotic matter

gr-qc · 2026-06-21 · conditional · novelty 6.0 · 2 refs

An accelerating positive-energy warp drive is constructed by matching a flat cavity to a Kinnersley photon rocket, obeying the derived control law −ṁ ≥ 3m|a| and needing no exotic matter.

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  • Steering a warp drive without exotic matter gr-qc · 2026-06-21 · conditional · none · ref 59 · 2 links · internal anchor

    An accelerating positive-energy warp drive is constructed by matching a flat cavity to a Kinnersley photon rocket, obeying the derived control law −ṁ ≥ 3m|a| and needing no exotic matter.