On source coupling and the teleparallel equivalent to GR TeX Export

@article{citeulike:5002650, abstract = {Alternatives to the usual general relativity (GR) Riemannian framework include Riemann-Cartan and teleparallel geometry. The ``teleparallel equivalent of GR" (TEGR, aka GR\${}\_{||}\$) has certain virtues, however there have been allegations of serious source coupling limitations. Now it is quite straightforward to show that the coupled dynamical field equations of Einstein's GR with any source can be accurately represented in terms of any other connection, in particular teleparallel geometry. Using an argument similar to one used long ago to show the "effective equivalence" between GR and the Einstein-Cartan theory, we construct the teleparallel action which is equivalent to a given Riemanian one; thereby finding the ``effectively equivalent" coupling principle for all sources, including spinors. No auxiliary field is required. Can one decide which is the real "physical" geometry? Invoking the minimal coupling principle may give a unique answer.}, archivePrefix = {arXiv}, author = {{So}, {loi L.} and {nester}, J. M.}, citeulike-article-id = {5002650}, citeulike-linkout-0 = {http://arxiv.org/abs/gr-qc/0612062}, citeulike-linkout-1 = {http://arxiv.org/pdf/gr-qc/0612062}, citeulike-linkout-2 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2006gr.qc....12062L}, eprint = {gr-qc/0612062}, journal = {ArXiv General Relativity and Quantum Cosmology e-prints}, keywords = {gr, gravitational-theories, teleparallel}, month = {December}, posted-at = {2009-06-28 21:09:36}, priority = {2}, title = {{On source coupling and the teleparallel equivalent to GR}}, url = {http://arxiv.org/abs/gr-qc/0612062}, year = {2006} }

TY - JOUR ID - citeulike:5002650 L3 - citeulike-article-id:5002650 N2 - Alternatives to the usual general relativity (GR) Riemannian framework include Riemann-Cartan and teleparallel geometry. The ``teleparallel equivalent of GR" (TEGR, aka GR${}_{||}$) has certain virtues, however there have been allegations of serious source coupling limitations. Now it is quite straightforward to show that the coupled dynamical field equations of Einstein's GR with any source can be accurately represented in terms of any other connection, in particular teleparallel geometry. Using an argument similar to one used long ago to show the "effective equivalence" between GR and the Einstein-Cartan theory, we construct the teleparallel action which is equivalent to a given Riemanian one; thereby finding the ``effectively equivalent" coupling principle for all sources, including spinors. No auxiliary field is required. Can one decide which is the real "physical" geometry? Invoking the minimal coupling principle may give a unique answer. JF - ArXiv General Relativity and Quantum Cosmology e-prints TI - {On source coupling and the teleparallel equivalent to GR} KW - gr KW - gravitational-theories KW - teleparallel AU - So}, {loi AU - {nester}, JM PY - 2006/December// UR - http://arxiv.org/abs/gr-qc/0612062 ER -