Metric-affine gravity and the Nester-Witten 2-form
Godina, Marco, Matteucci, Paolo and Vickers, James A. (2001) Metric-affine gravity and the Nester-Witten 2-form. Journal of Geometry and Physics, 39, (4), 265-275. (doi:10.1016/S0393-0440(01)00007-9).
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Description/Abstract
In this paper we redefine the well-known metric-affine Hilbert Lagrangian in terms of a spin connection and a spin-tetrad. On applying the Poincaré–Cartan method and using the geometry of gauge-natural bundles, a global gravitational superpotential is derived. On specializing to the case of the Kosmann lift, we recover the result originally found by Kijowski [Gen. Rel. Gravity 9 (1978) (10) 857] for the metric (natural) Hilbert Lagrangian. On choosing a different, suitable lift, we can also recover the Nester–Witten 2-form, which plays an important role in the energy positivity proof and in many quasi-local definitions of mass.
| Item Type: | Article |
|---|---|
| ISSNs: | 0393-0440 (print) |
| Related URLs: | |
| Keywords: | Hilbert–Einstein Lagrangian, spinors; gauge-natural, superpotential |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| Item ID: | 29334 |
| Date Deposited: | 10 May 2006 |
| Last Modified: | 01 Jun 2011 02:08 |
| Contributors: | Godina, Marco (Author) Matteucci, Paolo (Author) Vickers, James A. (Author) |
| Date: | 2001 |
| Status: | Published |
| Contact Email Address: | J.A.Vickers@maths.soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/29334 |
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