Chapter

Particle Motion in Curved Spacetime

Valeri P. Frolov and Andrei Zelnikov

in Introduction to Black Hole Physics

Published in print September 2011 | ISBN: 9780199692293
Published online January 2012 | e-ISBN: 9780191731860 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199692293.003.0004
Particle Motion in Curved Spacetime

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Particle motion in a curved spacetime is considered. The Lagrangian and Hamiltonian form of the equation of motion of a relativistic particle are described. We discuss here also the Hamilton‐Jacobi equation, kinetic theory in a curved spacetime, and the Liouville theory of complete integrability.

Keywords: geodesic equations; Lagrangian; Hamiltonian; invariants; integrability; phase space

Chapter.  7877 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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