Universality of affine formulation in General Relativity theory

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dc.creatorKijowski, Jerzy
dc.creatorWerpachowski, Roman
dc.date2004-06-22
dc.date2007-01-29
dc.date.accessioned2026-07-07T10:48:15Z
dc.date.available2026-07-07T10:48:15Z
dc.descriptionAffine variational principle for General Relativity, proposed in 1978 by one of us (J.K.), is a good remedy for the non-universal properties of the standard, metric formulation, arising when the matter Lagrangian depends upon the metric derivatives. Affine version of the theory cures the standard drawback of the metric version, where the leading (second order) term of the field equations depends upon matter fields and its causal structure violates the light cone structure of the metric. Choosing the affine connection (and not the metric one) as the gravitational configuration, simplifies considerably the canonical structure of the theory and is more suitable for purposes of its quantization along the lines of Ashtekar and Lewandowski (see http://www.arxiv.org/gr-qc/0404018). We show how the affine formulation provides a simple method to handle boundary integrals in general relativity theory.
dc.description38 pages, no figures, LaTeX+BibTex, corrected (restructured contents, one example removed, no additional results, typos fixed) version
dc.identifierhttps://arxiv.org/abs/gr-qc/0406088
dc.identifierhttp://arxiv.org/abs/gr-qc/0406088
dc.identifierRept.Math.Phys.59:1,2007
dc.identifierdoi:10.1016/S0034-4877(07)80001-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183812
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleUniversality of affine formulation in General Relativity theory
dc.typetext

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