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Anti-de Sitter boundary in Poincaré coordinates

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Abstract

We build up a detailed description of the space-time boundary of a Poincaré patch of anti-de Sitter (AdS) space. We map the Poincaré AdS boundary to the global coordinate chart and show why this boundary is not equivalent to the global AdS boundary. The Poincaré AdS boundary is shown to contain points of the bulk of the entire AdS space. The Euclidean AdS space is also discussed. In this case one can define a semi-global chart that divides the AdS space in the same way as the corresponding Euclidean Poincaré chart.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, 21941-972, Brazil

    C. A. Ballón Bayona & Nelson R. F. Braga

Authors
  1. C. A. Ballón Bayona
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  2. Nelson R. F. Braga
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Correspondence to Nelson R. F. Braga.

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Bayona, C.A.B., Braga, N.R.F. Anti-de Sitter boundary in Poincaré coordinates. Gen Relativ Gravit 39, 1367–1379 (2007). https://doi.org/10.1007/s10714-007-0446-y

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  • DOI: https://doi.org/10.1007/s10714-007-0446-y

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