A GENERAL COVARIANT SYMPLECTIC STRUCTURE FROM CONSERVATION LAWS-Reference-Cited by-同舟云学术

A GENERAL COVARIANT SYMPLECTIC STRUCTURE FROM CONSERVATION LAWS

Published:2005-02-10 Issue:04 Volume:20 Page:251-262
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

BASINI GIUSEPPE¹,CAPOZZIELLO SALVATORE²

Affiliation:

1. Laboratori Nazionali di Frascati, INFN, Via E. Fermi C.P. 13, I-0044 Frascati, Italy

2. Dipartimento di Fisica "E.R. Caianiello", Universitá di Salerno and INFN Sez. di Napoli, Gruppo Collegato di Salerno, Via S. Allende, I-84081 Baronissi (Sa), Italy

Abstract

A covariant symplectic structure can be identified, in general, starting from conservation laws connected to generic Hamiltonian invariants constructed from covariant vectors, bivectors and tensors. This feature leads to both holonomic and anholonomic formulations of Hamilton equations and Poisson brackets and it seems a deep link common to all interactions including gravity. A key role in the approach is played by affine connections instead of metric.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732305016543

Reference13 articles.

1. General Relativity

2. Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton

3. Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A topological approach for emerging D-branes and its implications for gravity;International Journal of Geometric Methods in Modern Physics;2021-09-29

2. Gravitational Physics: From Quantum to Waves;Multiple Messengers and Challenges in Astroparticle Physics;2018

3. f(T) teleparallel gravity and cosmology;Reports on Progress in Physics;2016-09-07

4. Extended Theories of Gravity;Physics Reports;2011-12

5. Deriving the mass of particles from Extended Theories of Gravity in LHC era;The European Physical Journal C;2011-06