# Piecewise flat gravitational waves

@article{Meent2011PiecewiseFG, title={Piecewise flat gravitational waves}, author={Maarten van de Meent}, journal={Classical and Quantum Gravity}, year={2011}, volume={28}, pages={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… Expand

#### 3 Citations

Exact piecewise flat gravitational waves

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We generalize our previous linear result (van de Meent 2011 Class. Quantum Grav 28 075005) in obtaining gravitational waves from our piecewise flat model for gravity in 3+1 dimensions to exact… Expand

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We study a model for gravity in 3+1 dimensions, inspired in general relativity in 2+1 dimensions. In contrast regular general relativity in 3+1 dimensions, the model postulates that space in absence… Expand

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We construct in this article a new realization of quantum geometry, which is obtained by quantizing the recently-introduced flux formulation of loop quantum gravity. In this framework, the vacuum is… Expand

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