التفاصيل البيبلوغرافية
| العنوان: |
The shear-free condition and constant-mean-curvature hyperboloidal initial data. |
| المؤلفون: |
Paul T Allen, James Isenberg, John M Lee, Iva Stavrov Allen |
| المصدر: |
Classical & Quantum Gravity; 6/9/2016, Vol. 33 Issue 11, p1-1, 1p |
| مصطلحات موضوعية: |
HYPERBOLOID structures, CURVATURE, TORTUOSITY, DATA analysis, COMMON data elements (Metadata) |
| مستخلص: |
We consider the Einstein–Maxwell-fluid constraint equations, and make use of the conformal method to construct and parametrize constant-mean-curvature hyperboloidal initial data sets that satisfy the shear-free condition. This condition is known to be necessary in order that a spacetime development admit a regular conformal boundary at future null infinity; see (Andersson and Chruściel 1994 Commun. Math. Phys.161 533–68). We work with initial data sets in a variety of regularity classes, primarily considering those data sets whose geometries are weakly asymptotically hyperbolic, as defined in (Allen et al 2015 arXiv:1506.03399). These metrics are C1,1 conformally compact, but not necessarily C2 conformally compact. In order to ensure that the data sets we construct are indeed shear-free, we make use of the conformally covariant traceless Hessian introduced in (Allen et al 2015 arXiv:1506.03399). We furthermore construct a class of initial data sets with weakly asymptotically hyerbolic metrics that may be only C0,1 conformally compact; these data sets are insufficiently regular to make sense of the shear-free condition. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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