# Embeddings for general relativity

@article{Leon2015EmbeddingsFG,
title={Embeddings for general relativity},
author={Jaime Ponce de Leon},
journal={Classical and Quantum Gravity},
year={2015},
volume={32},
pages={195018}
}
• J. P. Leon
• Published 1 September 2015
• Mathematics, Physics
• Classical and Quantum Gravity
We present a systematic approach to embed n-dimensional vacuum general relativity in an (n+1)-dimensional pseudo-Riemannian spacetime whose source is either a (non)zero cosmological constant or a scalar field minimally coupled to Einstein gravity. Our approach allows us to generalize a number of results discussed in the literature. We construct all the possible (physically distinct) embeddings in Einstein spaces, including the Ricci-flat ones widely discussed in the literature. We examine in…
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