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Stationary Einstein-Maxwell fields in arbitrary dimensions

Daisuke Ida and Yuki Uchida

  • Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

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Phys. Rev. D 68, 104014 – Published 17 November, 2003

DOI: https://doi.org/10.1103/PhysRevD.68.104014

Abstract

The Einstein-Maxwell equations in D dimensions admitting (D−3) commuting Killing vector fields have been investigated. The existence of the electric, magnetic, and twist potentials has been proved. The system is formulated as the harmonic map coupled to gravity on three-dimensional base space generalizing the Ernst system in the four-dimensional stationary Einstein-Maxwell theory. Some classes of the new exact solutions have been provided, which include the electromagnetic generalization of the Myers-Perry solution, which describes the rotating black hole immersed in a magnetic universe, and the static charged black ring solution.

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References (33)

  1. E.T. Newman, E. Couch, K. Chinnapared, K. Exton, and R. Torrence, J. Math. Phys. 6, 918 (1965).
  2. P.O. Mazur, J. Math. Phys. 15, 3178 (1982).
  3. G.L. Bunting, Ph.D. thesis, University of New England, 1983.
  4. R.C. Myers and M.J. Perry, Ann. Phys. (Leipzig) 172, 304 (1986).
  5. N. Arkani-Hamed, S. Dimopoulos, and G.R. Dvali, Phys. Lett. B 429, 263 (1998); ibid.I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G.R. Dvali, 436, 257 (1998).
  6. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999).
  7. T. Banks and W. Fischler, hep-th/9906038.
  8. S.B. Giddings and S. Thomas, Phys. Rev. D 65, 056010 (2002).
  9. S. Dimopoulos and G. Landsberg, Phys. Rev. Lett. 87, 161602 (2001).
  10. S. Hawng, Geom. Dedic. 71, 5 (1998); G.W. Gibbons, D. Ida, and T. Shiromizu, Prog. Theor. Phys. Suppl. 148, 284 (2003).
  11. G.W. Gibbons, D. Ida, and T. Shiromizu, Phys. Rev. D 66, 044010 (2002); ibid.M. Rogatko, 67, 084025 (2003).
  12. H.S. Reall, Phys. Rev. D 68, 024024 (2003).
  13. D. Ida, K. Oda, and S.C. Park, Phys. Rev. D 67, 064025 (2003).
  14. S.W. Hawking, Commun. Math. Phys. 43, 199 (1975).
  15. G. Horowitz and A. Sen, Phys. Rev. D 53, 808 (1996).
  16. B. Carter, in Gravitation in Astrophysics, edited by B. Carter and J. B. Hartle (Plenum, New York, 1987).
  17. S.D. Majumdar, Phys. Rev. 72, 390 (1947).
  18. A. Papapetrou, Proc. R. Ir. Acad., Sect. A 51, 191 (1947).
  19. J.P. Gauntlett, R.C. Myers, and P.K. Townsend, Class. Quantum Grav. 16, 1 (1999).
  20. F.J. Ernst, Phys. Rev. 167, 1175 (1968).
  21. D. Maison, Gen. Relativ. Gravit. 10, 717 (1979).
  22. A. Papapetrou, Ann. Phys. (Leipzig) 12, 309 (1953).
  23. P.O. Mazur and L. Bombelli, J. Math. Phys. 28, 406 (1987).
  24. R. Geroch, J. Math. Phys. 12, 918 (1971).
  25. A. Tomimatsu and H. Sato, Phys. Rev. Lett. 29, 1344 (1972).
  26. M.A. Melvin, Phys. Lett. 8, 65 (1964).
  27. M.l. Cai and G.J. Galloway, Class. Quantum Grav. 18, 2707 (2001).
  28. R. Emparan and H.S. Reall, Phys. Rev. Lett. 88, 101101 (2002).
  29. H. Elvang, Phys. Rev. D (to be published), hep-th/0305247.
  30. R. Emparan and H.S. Reall, Phys. Rev. D 65, 084025 (2002).
  31. B. Kol, hep-th/0208056.
  32. R. Emparan, private communication.
  33. R. Emparan, Nucl. Phys. B610, 169 (2001).

Outline

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Phys. Rev. D 68, 104014– Published 17 November, 2003
  • Received 24 July 2003

© 2003 American Physical Society

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