The BTZ spacetime as an algebraic embedding - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: A simple algebraic global isometric embedding is presented for thenonrotating BTZ black hole and its counterpart of Euclidean signature. Theimage of the embedding, in Minkowski space of two extra dimensions, is theinterection of two quadric hypersurfaces. Furthermore an embedding into $AdS 4$or $H 4$ is also obtained, showing that the spacetime is of embedding class onewith respect to maximally symmetric space of negative curvature. The rotatingsolution of Euclidean signature is also shown to admit a quadratic algebraicembedding, but seemingly requires more than two extra dimensions.



Author: Steven Willison

Source: https://arxiv.org/







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