Energy-momentum currents in Finsler/Kawaguchi Lagrangian formulation
Year: 2014
Type: preprint
Abstract: We reformulate the standard Lagrangian formalism to a reparameterisation invariant Lagrangian formalism by means of Finsler and Kawaguchi geometry. In our formalism, various types of symmetries that appears in theories of physics are expressed geometrically by symmetries of Finsler (Kawaguchi) metric, and the conservation law of energy-momentum is a part of Euler-Lagrange equations. The application to scalar field, Dirac field, electromagnetic field and general relativity are discussed. By this formalism, we try to propose an alternative definition of energy-momentum current of gravity.
Source: arXiv (Cornell University)
Institutions: Ochanomizu University, Meisei University, Kagoshima University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2140766510