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General Relativity and the Einstein Equations$
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Yvonne Choquet-Bruhat

Print publication date: 2008

Print ISBN-13: 9780199230723

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780199230723.001.0001

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Relativistic Kinetic Theory

Relativistic Kinetic Theory

(p.301) X Relativistic Kinetic Theory
General Relativity and the Einstein Equations

Yvonne Choquet-Bruhat

Oxford University Press

This chapter presents the basic equations of the relativistic kinetic theory; it proves local existence theorems for Einstein equations coupled with kinetic matter. It then provides thermodynamic properties linked with the Boltzmann equation, proves the H-theorem, and indicates how perturbation around a Maxwell–Jütner equilibrium distribution gives possible equations for dissipative fluids. Finally, the chapter indicates how the theory of extended thermodynamics circumvents the difficulty of generalizing to Relativity the dissipative fluids equations.

Keywords:   Einstein equations, thermodynamics, Boltzmann equation, Maxwell–Jütner equilibrium distribution

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