Piecewise Flat Gravitational Waves

Details Piecewise Flat Gravitational Waves Piecewise Flat Gravitational Waves

2010-12-09

arxiv.org/abs/1012.1991v2

Class.Quant.Grav.28:075005,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted for publication in Classical and Quantum gravity

Scientific paper

10.1088/0264-9381/28/7/075005

We examine the continuum limit of the piecewise flat locally finite gravity model introduced by 't Hooft. In the linear weak field limit we find the energy--momentum tensor and metric perturbation of an arbitrary configuration of defects. The energy--momentum turns out to be restricted to satisfy certain conditions. The metric perturbation is mostly fixed by the energy--momentum except for its lightlike modes which reproduce linear gravitational waves, despite no such waves being present at the microscopic level.

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