2,982 research outputs found
AdS spacetimes and isometric embeddings
An algebraic global isometric embedding of the nonrotating BTZ black hole is
presented. The ambient spacetime is , the 3+2 dimensional
flat spacetime. We also present the analogous embedding for the Euclidean BTZ
spacetime and by performing a kind of double analytic continuation construct a
1-parameter family of embeddings of cosmological AdS spacetime into
which coincide asymptotically with the embedded BTZ manifold
of the appropriate mass. Finally we note that the family of embeddings of
cosmological AdS into generalises to higher
dimensions.Comment: To appear in the proceedings of the conference: "Relativity and
Gravitation, 100 Years after Einstein in Prague." We give a brief review of
the results obtained in [arXiv:1011.3883[gr-qc]]. Lemma 2.2, is a new resul
Inaugural Session, Institute of English Studies Seminar in the History of Libraries
Text of the inaugural session of the Institute of English Studies seminar in the History of Libraries held on 27/2/08
Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe
Assuming an Einstein-Gauss-Bonnet theory of gravitation in a ()-dimensional spacetime with boundary, we consider the problem of the
boundary dynamics given the matter Lagrangian on it. The resulting equation is
applied in particular on the derivation of the Friedmann eq. of a 3-brane,
understood as the non-orientable boundary of a 5d spacetime. We briefly discuss
the contradictory conclusions of the literature.Comment: 8 pages, published versio
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