Quick search Find article
Quick search
Find article

Towards the quasi-localization of canonical general relativity*

László B Szabados

Show affiliations


A general framework for a systematic quasi-localization of canonical general relativity and a new ingredient, the requirement of the gauge invariance of the boundary terms appearing in the calculation of Poisson brackets, are given. As a consequence of this it is shown, in particular, that the generator vector fields (built from the lapse and shift) of the quasi-local quantities must be divergence free with respect to a Sen-type connection, and the volume form induced from the spatial metric on the boundary surface must be fixed.


Footnote
*  Talk given at the Conference on Recent Results in Mathematical Relativity, The Erwin Schrödinger Institute, Vienna, 20–21 August 2008, and dedicated to Bobby Beig on the occasion of his 60th birthday.
PACS

04.20.Fy Canonical formalism, Lagrangians, and variational principles

04.20.Jb Exact solutions

MSC

17B63 Poisson algebras

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Gravitation and cosmology

Dates

Issue 12 (21 June 2009)

Received 18 February 2009, in final form 29 April 2009

Published 2 June 2009



  1. Towards the quasi-localization of canonical general relativity

    László B Szabados 2009 Class. Quantum Grav. 26 125013

  2. Selective separation of proteins with pH-dependent magnetic nanoadsorbents

    Xiaoxiao He et al 2007 Nanotechnology 18 365604

  3. Bioimaging of M1 cells using ceramic nanophosphors: Synthesis and toxicity assay of Y2O3 nanoparticles

    N Venkatachalam et al 2009 J. Phys.: Conf. Ser. 191 012002

  4. Gamma-ray burst overview

    Neil Gehrels (on behalf of the Swift Team) 2008 Class. Quantum Grav. 25 184005

  5. High-Efficiency High-Power Nd: YAG Laser under 885 nm Laser Diode Pumping

    Li Fang-Qin et al 2009 Chinese Phys. Lett. 26 114206

  6. Synthesizing Metastable Rocksalt-Type MgTe Based on High-Pressure Solid-State Phase Transition: A First-Principles Study

    Cai Ying-Xiang and Xu Rui 2009 Chinese Phys. Lett. 26 113101

  7. Field emission of metal nanowires studied by first-principles methods

    Choong-Ki Lee et al 2007 Nanotechnology 18 475706

  8. Oxidation state variation under β-irradiation in an iron-bearing soda lime glass system

    S Rossano et al 2009 J. Phys.: Conf. Ser. 190 012194

  9. Comparison of EXAFS foil spectra from around the world

    S D Kelly et al 2009 J. Phys.: Conf. Ser. 190 012032

  10. Thermodynamics and transport properties of thermal plasmas: the role of electronic excitation

    M Capitelli et al 2009 J. Phys. D: Appl. Phys. 42 194005

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.