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Almost-BPS solutions in multi-center Taub-NUT

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Abstract

Microstates of multiple collinear black holes embedded in a non-collinear two-center Taub- NUT space-time are sought in 4 dimensions. A set of coupled partial differential equations are obtained and solved for almost-BPSstates, where some supersymmetry is preserved in the context of N = 2supergravity in 4 dimensions. The regularity of solutions is carefully considered, and we ensure that no CTC (closed time-like curves) are present. The larger framework is that of 11-dimensional N = 2 supergravity, and the current theory is obtained by compactifying it down to 4 dimensions. This work is a generalization (to three non-collinear centers) of a previous paper by Bena et al.

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References

  1. I. Bena and N. Warner, Adv. Theor. Math. Phys. 9, 667 (2005); hep-th/0408106.

    Article  MathSciNet  Google Scholar 

  2. J. B. Gutowski and H. S. Reall, JHEP 0404, 048 (2004); hep-th/0401129.

    Article  ADS  Google Scholar 

  3. J. P. Gauntlett, J. B. Gutowski, C.M. Hull, S. Parkis, and H. S. Reall, Class. Quantum Grav. 20, 4587 (2003); hep-th/0209114.

    Article  ADS  Google Scholar 

  4. G. Giusti and S. D. Mathur, Nucl. Phys. B 729, 203 (2005); hep-th/0409067.

    Article  ADS  Google Scholar 

  5. I. Bena and N. P. Warner, Phys. Rev. D 74, 066001 (2006); hep-th/0505166.

    Article  ADS  MathSciNet  Google Scholar 

  6. P. Berglund, E. G. Gimon, and T. S. Levi, JHEP 007 (2006); hep-th/0505167.

  7. S. Giusto, S. D. Mathur, and A. Saxena, Nucl. Phys. B 701, 357 (2004); hep-th/0405017.

    Article  ADS  Google Scholar 

  8. I. Bena, N. Bobev, and N.P. Warner, JHEP0708, 004 (2007); arXiv: 0705.3641.

  9. G.W. Gibbons and S.W. Hawking, Phys. Lett. B 78, 430 (1978).

    Article  ADS  Google Scholar 

  10. G.W. Gibbons and J. P. Ruback, Comm. Math. Phys. 115, 267 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  11. I. Bena, P. Kraus, and N. P. Warner, Phys. Rev. D72, 084019 (2005).

    ADS  Google Scholar 

  12. J. P. Gauntlett and J. B. Gutowski, Phys. Rev. D 71, 045002 (2005); hep-th/0408122.

    Article  ADS  MathSciNet  Google Scholar 

  13. H. Elvang, R. Emparan, D. Mateos, and H. S. Reall, Phys. Rev. D 71, 024033 (2005); hep-th/0408120.

    Article  ADS  MathSciNet  Google Scholar 

  14. H. Elvang, R. Emparan, D. Mateos, and H. S. Reall, Phys. Rev. Lett. 93, 211302 (2004); hep-th/0407065.

    Article  ADS  MathSciNet  Google Scholar 

  15. I. Bena and N. P. Warner, Lect. Notes Phys. 755 (2008); hep-th/0701216.

  16. I. Bena, S. Giusto, C. Ruef, and N. P. Warner, JHEP 0911, 032 (2009); arXiv: 0908.2121.

    Article  ADS  Google Scholar 

  17. A. Ceresole and G. Dall-Agata, JHEP 0703, 110 (2007); hep-th/0702088.

    Article  ADS  Google Scholar 

  18. I. Bena, G. Dall-Agata, S. Giusto, C. Ruef, and N. P. Warner, JHEP 0906, 015 (2009); arXiv:0902.4526.

    Article  ADS  Google Scholar 

  19. G. Bossard, JHEP 120, 113 (2012); arXiv:1203.0530.

    Article  Google Scholar 

  20. G. Bossard and C. Ruef, Gen. Rel. Grav. 44, 21 (2012); arXiv:1106.5806.

    Article  ADS  Google Scholar 

  21. A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996); hep-th/9601029.

    Article  ADS  MathSciNet  Google Scholar 

  22. G. T. Horowitz and J. Polchinski, Phys. Rev. D 55, 6189 (1997); hep-th/9612146.

    Article  ADS  MathSciNet  Google Scholar 

  23. S. D. Mathur, Fortsch. Phys. 53, 793 (2005); hepth/0502050.

    Article  ADS  Google Scholar 

  24. D. Mateos and P. K. Townsend, Phys. Rev. Lett. 87, 011602 (2001); hep-th/0103030.

    Article  ADS  MathSciNet  Google Scholar 

  25. R. Emparan, D. Mateos, and P. K. Townsend, JHEP 0107, 011 (2001); hep-th/0106012.

    Article  ADS  Google Scholar 

  26. I. Bena, N. Bobev, C. Ruef, and N. P. Warner, JHEP 0907, 106 (2009); arXiv:0812.2942.

    Article  ADS  Google Scholar 

  27. T. K. Finch, JHEP 0903, 145 (2009); hepth/0612085.

    Article  ADS  Google Scholar 

  28. N. P. Warner, Prog. Theor. Phys. Suppl. 177, 228 (2009); arXiv: 0810.2596.

    Article  ADS  Google Scholar 

  29. I. Bena, N. Bobev, C. Ruef, and N. Warren, Phys.Rev. Lett. 105, 231301 (2010); arXiv: 0804.4487.

    Article  ADS  Google Scholar 

  30. C. Ruef, Nucl. Phys. Proc. Suppl. 192-193, 174 (2009); arXiv: 0901.3227.

    Article  ADS  MathSciNet  Google Scholar 

  31. K. Goldstein and S. Katmadas, JHEP 05, 08 (2009); arXiv: 0812.4183.

    Google Scholar 

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Authors and Affiliations

  1. Department of Theoretical Physics, IFIN-HH, Magurele, Romania

    C. Rugina

  2. Department of Physics, University of Bucharest, Bucharest, Romania

    C. Rugina

  3. Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, FL, USA

    A. Ludu

Authors
  1. C. Rugina
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  2. A. Ludu
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Correspondence to C. Rugina.

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Rugina, C., Ludu, A. Almost-BPS solutions in multi-center Taub-NUT. Gravit. Cosmol. 23, 320–328 (2017). https://doi.org/10.1134/S0202289317040181

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  • DOI: https://doi.org/10.1134/S0202289317040181

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