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Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes

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Abstract

We define the total energy-momenta for (4+1)-dimensional asymptotically anti-de Sitter spacetimes, which comes from the boundary terms at infinity in the integral form of the Weitzenböck formula. Then we prove the positive energy theorem for such spacetimes, following Witten’s original arguments for the positive energy theorem in asymptotically flat spacetimes.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    YaoHua Wang

  2. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Xu Xu

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  1. YaoHua Wang
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  2. Xu Xu
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Correspondence to Xu Xu.

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Wang, Y., Xu, X. Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes. Sci. China Math. 57, 389–396 (2014). https://doi.org/10.1007/s11425-013-4702-1

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  • DOI: https://doi.org/10.1007/s11425-013-4702-1

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