PhilSci Archive

Gauge-Invariant Localization of Infinitely Many Gravitational Energies from All Possible Auxiliary Structures

Pitts, J. Brian (2009) Gauge-Invariant Localization of Infinitely Many Gravitational Energies from All Possible Auxiliary Structures. [Preprint]

WarningThere is a more recent version of this item available.
[img]
Preview
PDF
Download (168Kb) | Preview

    Abstract

    The problem of finding a covariant expression for the distribution and conservation of gravitational energy-momentum dates to the 1910s. A suitably covariant infinite-component localization is displayed, reflecting Bergmann's realization that there are infinitely many gravitational energy-momenta. Initially use is made of a flat background metric (or rather, all of them) or connection, because the desired gauge invariance properties are obvious. Partial gauge-fixing then yields an appropriate covariant quantity without any background metric or connection; one version is the collection of pseudotensors of a given type, such as the Einstein pseudotensor, in _every_ coordinate system. This solution to the gauge covariance problem is easily adapted to any pseudotensorial expression (Landau-Lifshitz, Goldberg, Papapetrou or the like) or to any tensorial expression built with a background metric or connection. Thus the specific functional form can be chosen on technical grounds such as relating to Noether's theorem and yielding expected values of conserved quantities in certain contexts and then rendered covariant using the procedure described here. The application to angular momentum localization is straightforward. Traditional objections to pseudotensors are based largely on the false assumption that there is only one gravitational energy rather than infinitely many.


    Export/Citation:EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
    Social Networking:

    Item Type: Preprint
    Additional Information: slightly revised compared to first (arxiv) version: extra references, typos fixed
    Keywords: conservation laws, localization, gauge invariance, infinite-component, gravitational energy
    Subjects: General Issues > Science vs. Pseudoscience
    Specific Sciences > Physics > Cosmology
    Specific Sciences > Mathematics
    Specific Sciences > Physics > Symmetries/Invariances
    General Issues > Science and Religion
    Specific Sciences > Physics > Relativity Theory
    Specific Sciences > Physics > Fields and Particles
    Specific Sciences > Physics
    Depositing User: Dr. Dr. J. Brian Pitts
    Date Deposited: 05 May 2009
    Last Modified: 07 Oct 2010 11:17
    Item ID: 4602
    URI: http://philsci-archive.pitt.edu/id/eprint/4602

    Available Versions of this Item

    Actions (login required)

    View Item

    Document Downloads