Conformally covariant systems of wave equations and their equivalence to Einstein's field equations

Autor(en)

Tim-Torben Paetz

Abstrakt

We derive, in 3 + 1 spacetime dimensions, two alternative systems of quasi-linear wave equations, based on Friedrich’s conformal field equations. We analyse their equivalence to Einstein’s vacuum field equations when appropriate constraint equations are satisfied by the initial data. As an application, the characteristic initial value problem for the Einstein equations with data on past null infinity is reduced to a characteristic initial value problem for wave equations with data on an ordinary light-cone.

Organisation(en)

Gravitationsphysik

Journal

Annales Henri Poincare

Band

16

Seiten

2059-2129

Anzahl der Seiten

71

ISSN

1424-0637

DOI

https://doi.org/10.1007/s00023-014-0359-8

Publikationsdatum

09-2014

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics, Statistical and Nonlinear Physics, Mathematical Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/6191cfb7-26c3-442a-bd7f-c32e31a18f26