The Relativistic Boltzmann Equation: Theory and Applications

1. Front Matter

   Pages i-x

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2. Special Relativity

   • Carlo Cercignani, Gilberto Medeiros Kremer

   Pages 1-30

3. Relativistic Boltzmann Equation

   • Carlo Cercignani, Gilberto Medeiros Kremer

   Pages 31-63

4. Fields in Equilibrium

   • Carlo Cercignani, Gilberto Medeiros Kremer

   Pages 65-98

5. Thermomechanics of Relativistic Fluids

   • Carlo Cercignani, Gilberto Medeiros Kremer

   Pages 99-110

6. Chapman-Enskog Method

   • Carlo Cercignani, Gilberto Medeiros Kremer

   Pages 111-147

7. Method of Moments

   • Carlo Cercignani, Gilberto Medeiros Kremer

   Pages 149-170

8. Chemically Reacting Gas Mixtures

   • Carlo Cercignani, Gilberto Medeiros Kremer

   Pages 171-190

9. Model Equations

   • Carlo Cercignani, Gilberto Medeiros Kremer

   Pages 191-231

10. Wave Phenomena in a Relativistic Gas

    • Carlo Cercignani, Gilberto Medeiros Kremer

    Pages 233-270

11. Tensor Calculus in General Coordinates

    • Carlo Cercignani, Gilberto Medeiros Kremer

    Pages 271-290

12. Riemann Spaces and General Relativity

    • Carlo Cercignani, Gilberto Medeiros Kremer

    Pages 291-325

13. Boltzmann Equation in Gravitational Fields

    • Carlo Cercignani, Gilberto Medeiros Kremer

    Pages 327-346

14. The Vlasov Equation and Related Systems

    • Carlo Cercignani, Gilberto Medeiros Kremer

    Pages 347-369

15. Back Matter

    Pages 371-386

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The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.

• EFE
• Four-velocity
• Gravity
• Lorentz transformation
• Minkowski space
• Relativity
• SR
• Special relativity
• Statistical mechanics
• general relativity
• linear optimization
• special and general relativity

• Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

  Carlo Cercignani

• Departamento de Física, Universidade Federal do Paraná, Curitiba, Brazil

  Gilberto Medeiros Kremer

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