Gravitational fields near space-like and null infinity |
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| Affiliation: | 1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259 Moscow, Russia;2. Bogoliubov Laboratory for Theoretical Physics, JINR, 141980 Dubna, Russia;3. North Carolina Central University, 1801 Fayetteville Street, Durham, NC 27707, USA;4. Institute for Computer Aided Design of RAS, 123056, Moscow, Russia;5. National Research Nuclear University (NRNU MEPHI), 115409, Moscow, Russia;6. Atomic Physics Laboratory (040), Vinča Institute of Nuclear Sciences, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia;7. Astronomical Observatory, Volgina 7, 11060 Belgrade, Serbia;1. INFN — Sezione di Padova, 35131 Padova, Italy;2. Departamento de Física de Partículas and IGFAE, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, Galicia, Spain;3. Physics Department, CERN, CH-1211 Genéve 23, Switzerland;4. EMMI and GSI Helmholtzzentrum fuer Schwerionenforschung GmbH, Darmstadt, Germany;5. Massachusetts Institute of Technology, Cambridge, MA 02139-4307, USA;6. Nikhef, National Institute for Subatomic Physics and Institute for Subatomic Physics of Utrecht University, Utrecht, Netherlands;1. Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland;2. Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Mühlenberg 1, D-14476 Potsdam, Germany;3. Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489 Berlin, Germany |
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| Abstract: | Near space-like infinity an initial value problem for the conformal Einstein equations is formulated such that: (i) the data and equations are regular, (ii) space-like and null infinity have a finite representation, with their structure and location known a priori, and (iii) the setting relies entirely on general properties of conformal structures.A first analysis of this problem shows that the solutions develop in general a certain type of logarithmic singularity at the set where null infinity touches space-like infinity. These singularities form an intrinsic part of the solutions' conformal structure. Conditions on the free initial data near space-like infinity are derived which ensure that for solutions developing from these data singularities of this type cannot occur. |
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