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Conformal mass in AdS gravity

Dileep P. Jatkar1,*, Georgios Kofinas2,†, Olivera Miskovic3,‡, and Rodrigo Olea4,§

  • 1Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, India
  • 2Research Group of Geometry, Dynamical Systems and Cosmology, Department of Information and Communication Systems Engineering, University of the Aegean, Karlovassi 83200, Samos, Greece
  • 3Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile
  • 4Departamento de Ciencias Físicas, Universidad Andres Bello, República 220, Santiago, Chile

  • *dileep@hri.res.in
  • †gkofinas@aegean.gr
  • ‡olivera.miskovic@ucv.cl
  • §rodrigo.olea@unab.cl
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Phys. Rev. D 89, 124010 – Published 11 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.124010

Abstract

We show that the Ashtekar-Magnon-Das mass and other conserved quantities are equivalent to the Kounterterm charges in the asymptotically anti-de Sitter space-times that satisfy the Einstein equations, if we assume the same asymptotic falloff behavior of the Weyl tensor as considered by Ashtekar, Magnon, and Das. This, therefore, implies that, in all dimensions, the conformal mass can be directly derived from the bulk action and the boundary terms, which are written in terms of the extrinsic curvature.

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References (20)

  1. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
  2. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
  3. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
  4. O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 183 (2000).
  5. A. Ashtekar and A. Magnon, Classical Quantum Gravity 1, L39 (1984).
  6. A. Ashtekar and S. Das, Classical Quantum Gravity 17, L17 (2000).
  7. S. Hollands, A. Ishibashi, and D. Marolf, Classical Quantum Gravity 22, 2881 (2005).
  8. I. Papadimitriou and K. Skenderis, J. High Energy Phys. 08 (2005) 004.
  9. R. M. Wald and A. Zoupas, Phys. Rev. D 61, 084027 (2000).
  10. L. F. Abbott and S. Deser, Nucl. Phys. B195, 76 (1982).
  11. M. Henneaux and C. Teitelboim, Commun. Math. Phys. 98, 391 (1985).
  12. M. Henningson and K. Skenderis, J. High Energy Phys. 07 (1998) 023.
  13. V. Balasubramanian and P. Kraus, Commun. Math. Phys. 208, 413 (1999).
  14. R. Penrose, Phys. Rev. Lett. 10, 66 (1963); Proc. R. Soc. A 284, 159 (1965).
  15. R. Olea, J. High Energy Phys. 04 (2007) 073.
  16. G. Kofinas and R. Olea, Phys. Rev. D 74, 084035 (2006).
  17. O. Misković and R. Olea, J. High Energy Phys. 10 (2007) 028.
  18. J. H. Traschen and D. Fox, Classical Quantum Gravity 21, 289 (2004).
  19. R. Olea, J. High Energy Phys. 06 (2005) 023.
  20. O. Miskovic and R. Olea, Phys. Rev. D 79, 124020 (2009).

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Phys. Rev. D 89, 124010– Published 11 June, 2014
  • Received 12 April 2014

© 2014 American Physical Society

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