The Hole Argument. Physical Events and the Superspace

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dc.creatorIftime, Mihaela D.
dc.date2006-10-21
dc.date2008-12-16
dc.date.accessioned2026-07-07T12:12:58Z
dc.date.available2026-07-07T12:12:58Z
dc.descriptionThe 'hole argument'(the English translation of German 'Lochbetrachtung') was formulated by Albert Einstein in 1913 in his search for a relativistic theory of gravitation. The hole argument was deemed to be based on a trivial error of Einstein, until 1980 when John Stachel (Talk on Einsteins Search for General Covariance, 1912-1915 at the GRG meeting in Jena 1980) recognized its highly non-trivial character. Since then the argument has been intensively discussed by many physicists and philosophers of science. (See e.g., Earman & Norton (1987), Gaul & Rovelli (1999), Stachel & Iftime(2005}, and Iftime & Stachel(2006).) I shall provide here a coordinate-free formulation of the argument using the language of categories and bundles, and generalize the argument for arbitrary covariant and permutable theories (see Iftime & Stachel(2006). In conclusion I shall point out a way of avoiding the hole argument, by looking at the structure of the space of solutions of Einstein's equations on a space-time manifold. This superspace Q(M) is defined as the orbit space of space-time solutions on M under the action of the diffeomorphisms of M, and it plays an important role in the study of the gravitational field and attempts to find a theory of quantum gravity (QG).
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0610105
dc.identifierhttp://arxiv.org/abs/gr-qc/0610105
dc.identifierSyst. Integrables et Theorie des Champs Quant., eds J. Kouneiher et all, Hermann's Editeurs, pp. 241-254, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210720
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Hole Argument. Physical Events and the Superspace
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