Buch, Englisch, Band 700, Format (B × H): 155 mm x 235 mm
A Covariant Hamiltonian Formalism
Buch, Englisch, Band 700, Format (B × H): 155 mm x 235 mm
Reihe: Progress in Mathematical Physics
ISBN: 978-0-8176-4328-7
Verlag: Birkhäuser
The Hamiltonian of dynamic geometry as it is applied to gravitational energy is examined in this modern but classical approach to the subject. It is a comprehensive development of the variational principle for general dynamic fields, which is applied in particular to dynamic geometry, and results in an improved description of gravitational energy. Indeed, using differential forms and a first-order Lagrangian, a covariant Hamiltonian formalism is presented here in complete form for the first time.
A broad audience of advanced undergraduate and graduate students, as well as researchers, in mathematics and physics who are interested in the theoretical principles and mathematical formulation of fundamental physical interactions, including gravity as a manifestation of dynamic spacetime geometry, variational principles and symplectic structure, the canonical Hamiltonian analysis and gravitational energy will find this a stimulating text, full of challenging ideas at the frontier of present-day research.
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
- Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
