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Conformal regularization of Einstein's field equations
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0002-0906-8808
2005 (English)In: Class. Quantum Grav. 22 (2005) 3775-3787Article in journal (Refereed)
Abstract [en]

To study asymptotic structures, we regularize Einstein's field equations by means of conformal transformations. The conformal factor is chosen so that it carries a dimensional scale that captures crucial asymptotic features. By choosing a conformal orthonormal frame we obtain a coupled system of differential equations for a set of dimensionless variables, associated with the conformal dimensionless metric, where the variables describe ratios with respect to the chosen asymptotic scale structure. As examples, we describe some explicit choices of conformal factors and coordinates appropriate for the situation of a timelike congruence approaching a singularity. One choice is shown to just slightly modify the so-called Hubble-normalized approach, and one leads to dimensionless first order symmetric hyperbolic equations. We also discuss differences and similarities with other conformal approaches in the literature, as regards, e.g., isotropic singularities

Place, publisher, year, edition, pages
2005.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-17818OAI: oai:DiVA.org:kau-17818DiVA, id: diva2:591433
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2017-12-06

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Uggla, Claes

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