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Unpublished Paper
Sum Rule for the ADM Mass and Tensions in Planar AdS Spacetimes
  • Basem M. El-Menoufi, University of Massachusetts - Amherst
  • Benjamin Ett, University of Massachusetts - Amherst
  • David Kastor, University of Massachusetts - Amherst
  • Jennie Traschen, University of Massachusetts - Amherst

An asymptotically planar AdS spacetimes is characterized by its ADM mass and tensions. We define an additional ADM charge Q associated with the scaling Killing vector of AdS, show that Q is given by a certain sum over the ADM mass and tensions and that Q vanishes on solutions to the Einstein equation with negative cosmological constant. The sum rule for the mass and tensions thus established corresponds in an AdS/CFT context to the vanishing of the trace of the boundary stress tensor. We also show that an analogous sum rule holds for local planar sources of stress-energy sources in AdS. In a simple model consisting of a static, plane symmetric source we find that the perturbative stress-energy tensor must be tracefree.

Publication Date
September 19, 2013
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Citation Information
Basem M. El-Menoufi, Benjamin Ett, David Kastor and Jennie Traschen. "Sum Rule for the ADM Mass and Tensions in Planar AdS Spacetimes" CLASSICAL AND QUANTUM GRAVITY (2013)
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