On the use of the Kodama vector field in evolutionary problems

Rácz, István (2006) On the use of the Kodama vector field in evolutionary problems. CLASSICAL AND QUANTUM GRAVITY, 23 (1). pp. 115-123. ISSN 0264-9381

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It is shown that by making use of the Kodama vector field, as a prefer-red time evolution vector field, in spherically symmetric dynamical systems unexpected simplifications arise. In particular, the evolution equations relevant for the case of a massless scalar field minimally coupled to gravity are investigated. The simplest form of these equations in the 'canonical gauge' is known to possess the character of a mixed first-order elliptic-hyperbolic system. The advantages related to the use of the Kodama vector field are twofold although they show up simultaneously. First, it is found that the true degrees of freedom separate. Second, a subset of the field equations possessing the form of a first-order symmetric hyperbolic system for these preferred degrees of freedom is singled out. It is also demonstrated, in the appendix, that the above results generalize straightforwardly to the case of a generic self-interacting scalar field.

Item Type: Article
Subjects: Q Science / természettudomány > QB Astronomy, Astrophysics / csillagászat, asztrofizika
Q Science / természettudomány > QC Physics / fizika
Depositing User: MTMT SWORD
Date Deposited: 02 Jul 2014 09:03
Last Modified: 15 Dec 2015 13:01

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