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New construction of a charged dipole black ring by Harrison transformation

Published 12 Feb 2024 in hep-th and gr-qc | (2402.07589v3)

Abstract: We present an exact solution for a non-BPS charged rotating black ring endowed with a dipole charge in the bosonic sector of five-dimensional minimal supergravity. Utilizing the electric Harrison transformation, we derive this solution by converting a five-dimensional vacuum solution into a charged solution within the realm of five-dimensional minimal supergravity. As the seed solution for the Harrison transformation, we use a vacuum solution of a rotating black ring possessing a Dirac-Misner string singularity. The resulting solution exhibits regularity, indicating the absence of curvature singularities, conical singularities, orbifold singularities, Dirac-Misner string singularities, and closed timelike curves both on and outside the horizon. This obtained solution carries mass, two angular momenta, an electric charge, and a dipole charge, with only three of these quantities being independent, similar to the charged rotating dipole black ring found previously by Elvang, Emparan and Figueras. However, aside from the vacuum case, these two solutions do not coincide. We discuss the difference between them in the phase space.

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References (65)
  1. R. Emparan and H. S. Reall, “Black Holes in Higher Dimensions,” Living Rev. Rel. 11, 6 (2008) [arXiv:0801.3471 [hep-th]].
  2. R. Emparan and H. S. Reall, “Black Rings,” Class. Quant. Grav. 23, R169 (2006) [arXiv:hep-th/0608012 [hep-th]].
  3. S. Mizoguchi and N. Ohta, “More on the similarity between D = 5 simple supergravity and M theory,” Phys. Lett. B 441, 123-132 (1998) [arXiv:hep-th/9807111 [hep-th]].
  4. S. Mizoguchi and G. Schroder, “On discrete U duality in M theory,” Class. Quant. Grav. 17, 835-870 (2000) [arXiv:hep-th/9909150 [hep-th]].
  5. E. Cremmer, B. Julia, H. Lu and C. N. Pope, “Dualization of dualities. 1.,” Nucl. Phys. B 523, 73-144 (1998) [arXiv:hep-th/9710119 [hep-th]].
  6. E. Cremmer, B. Julia, H. Lu and C. N. Pope, “Dualization of dualities. 2. Twisted self-duality of doubled fields, and superdualities,” Nucl. Phys. B 535, 242-292 (1998) [arXiv:hep-th/9806106 [hep-th]].
  7. J. Ford, S. Giusto, A. Peet and A. Saxena, “Reduction without reduction: Adding KK-monopoles to five dimensional stationary axisymmetric solutions,” Class. Quant. Grav. 25, 075014 (2008) [arXiv:0708.3823 [hep-th]].
  8. D. V. Gal’tsov and N. G. Scherbluk, “Hidden symmetries in 5D supergravities and black rings,” PoS BHGRS, 016 (2008) [arXiv:0912.2770 [hep-th]].
  9. D. V. Gal’tsov and N. G. Scherbluk, “Generating technique for U(1)**3 5D supergravity,” Phys. Rev. D 78, 064033 (2008) [arXiv:0805.3924 [hep-th]].
  10. D. V. Gal’tsov and N. G. Scherbluk, “Improved generating technique for D=5 supergravities and squashed Kaluza-Klein Black Holes,” Phys. Rev. D 79, 064020 (2009) [arXiv:0812.2336 [hep-th]].
  11. G. Compere, S. de Buyl, E. Jamsin and A. Virmani, “G2 Dualities in D=5 Supergravity and Black Strings,” Class. Quant. Grav. 26, 125016 (2009) [arXiv:0903.1645 [hep-th]].
  12. P. Figueras, E. Jamsin, J. V. Rocha and A. Virmani, “Integrability of Five Dimensional Minimal Supergravity and Charged Rotating Black Holes,” Class. Quant. Grav. 27, 135011 (2010) [arXiv:0912.3199 [hep-th]].
  13. S. Mizoguchi and S. Tomizawa, “New approach to solution generation using SL(2,R)-duality of a dimensionally reduced space in five-dimensional minimal supergravity and new black holes,” Phys. Rev. D 84, 104009 (2011) [arXiv:1106.3165 [hep-th]].
  14. A. Bouchareb, G. Clement, C. M. Chen, D. V. Gal’tsov, N. G. Scherbluk and T. Wolf, “G(2) generating technique for minimal D=5 supergravity and black rings,” Phys. Rev. D 76, 104032 (2007) [erratum: Phys. Rev. D 78, 029901 (2008)] [arXiv:0708.2361 [hep-th]].
  15. S. Tomizawa, Y. Yasui and A. Ishibashi, “Uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity,” Phys. Rev. D 79, 124023 (2009) [arXiv:0901.4724 [hep-th]].
  16. S. Tomizawa, Y. Yasui and A. Ishibashi, “Uniqueness theorem for charged dipole rings in five-dimensional minimal supergravity,” Phys. Rev. D 81, 084037 (2010) [arXiv:0911.4309 [hep-th]].
  17. R. Emparan, “Rotating circular strings, and infinite nonuniqueness of black rings,” JHEP 03, 064 (2004) [arXiv:hep-th/0402149 [hep-th]].
  18. H. Elvang, R. Emparan and P. Figueras, “Non-supersymmetric black rings as thermally excited supertubes,” JHEP 02, 031 (2005) [arXiv:hep-th/0412130 [hep-th]].
  19. A. Feldman and A. A. Pomeransky, “General triple charged black ring solution in supergravity,” JHEP 08, 059 (2014) [arXiv:1406.4617 [hep-th]].
  20. A. H. Chamseddine and H. Nicolai, “Coupling the SO(2) Supergravity Through Dimensional Reduction,” Phys. Lett. B 96, 89-93 (1980) [erratum: Phys. Lett. B 785, 631-632 (2018)] [arXiv:1808.08955 [hep-th]].
  21. E. Cremmer and B. Julia, “The SO(8) Supergravity,” Nucl. Phys. B 159, 141-212 (1979)
  22. S. Mizoguchi and S. Tomizawa, “Flipped S⁢L⁢(2,R)𝑆𝐿2𝑅SL(2,R)italic_S italic_L ( 2 , italic_R ) duality in five-dimensional supergravity,” Phys. Rev. D 86, 024022 (2012) [arXiv:1201.3063 [hep-th]].
  23. S. Tomizawa and S. Mizoguchi, “General Kaluza-Klein black holes with all six independent charges in five-dimensional minimal supergravity,” Phys. Rev. D 87, no.2, 024027 (2013) [arXiv:1210.6723 [hep-th]].
  24. R. C. Myers and M. J. Perry, “Black Holes in Higher Dimensional Space-Times,” Annals Phys. 172, 304 (1986)
  25. M. Cvetic and D. Youm, “General rotating five-dimensional black holes of toroidally compactified heterotic string,” Nucl. Phys. B 476, 118-132 (1996) [arXiv:hep-th/9603100 [hep-th]].
  26. A. A. Pomeransky and R. A. Sen’kov, “Black ring with two angular momenta,” [arXiv:hep-th/0612005 [hep-th]].
  27. V. A. Belinsky and V. E. Sakharov, “Stationary Gravitational Solitons with Axial Symmetry,” Sov. Phys. JETP 50, 1 (1979).
  28. A. A. Pomeransky, “Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes,” Phys. Rev. D 73 (2006) 044004 [hep-th/0507250].
  29. H. Iguchi and T. Mishima, “Solitonic generation of five-dimensional black ring solution,” Phys. Rev. D 73, 121501 (2006) [arXiv:hep-th/0604050 [hep-th]].
  30. S. Tomizawa and M. Nozawa, “Vacuum solutions of five-dimensional Einstein equations generated by inverse scattering method. II. Production of black ring solution,” Phys. Rev. D 73, 124034 (2006) [arXiv:hep-th/0604067 [hep-th]].
  31. T. Mishima and H. Iguchi, “New axisymmetric stationary solutions of five-dimensional vacuum Einstein equations with asymptotic flatness,” Phys. Rev. D 73, 044030 (2006) [arXiv:hep-th/0504018 [hep-th]].
  32. S. Tomizawa, Y. Morisawa and Y. Yasui, “Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method,” Phys. Rev. D 73, 064009 (2006) [arXiv:hep-th/0512252 [hep-th]].
  33. S. Tomizawa, H. Iguchi and T. Mishima, “Relationship between solitonic solutions of five-dimensional Einstein equations,” Phys. Rev. D 74, 104004 (2006) [arXiv:hep-th/0608169 [hep-th]].
  34. H. Elvang and P. Figueras, “Black Saturn,” JHEP 05, 050 (2007) [arXiv:hep-th/0701035 [hep-th]].
  35. K. Izumi, “Orthogonal black di-ring solution,” Prog. Theor. Phys. 119, 757-774 (2008) [arXiv:0712.0902 [hep-th]].
  36. H. Elvang and M. J. Rodriguez, “Bicycling Black Rings,” JHEP 04, 045 (2008) [arXiv:0712.2425 [hep-th]].
  37. H. Iguchi and T. Mishima, “Black di-ring and infinite nonuniqueness,” Phys. Rev. D 75, 064018 (2007) [erratum: Phys. Rev. D 78, 069903 (2008)] [arXiv:hep-th/0701043 [hep-th]].
  38. J. Evslin and C. Krishnan, “The Black Di-Ring: An Inverse Scattering Construction,” Class. Quant. Grav. 26, 125018 (2009) [arXiv:0706.1231 [hep-th]].
  39. S. Tomizawa, H. Iguchi and T. Mishima, “Rotating Black Holes on Kaluza-Klein Bubbles,” Phys. Rev. D 78, 084001 (2008) [arXiv:hep-th/0702207 [hep-th]].
  40. H. Iguchi, T. Mishima and S. Tomizawa, “Boosted black holes on Kaluza-Klein bubbles,” Phys. Rev. D 76, 124019 (2007) [erratum: Phys. Rev. D 78, 109903 (2008)] [arXiv:0705.2520 [hep-th]].
  41. Y. Morisawa, S. Tomizawa and Y. Yasui, “Boundary Value Problem for Black Rings,” Phys. Rev. D 77, 064019 (2008) [arXiv:0710.4600 [hep-th]].
  42. J. Evslin, “Geometric Engineering 5d Black Holes with Rod Diagrams,” JHEP 09, 004 (2008) [arXiv:0806.3389 [hep-th]].
  43. Y. Chen and E. Teo, “Black holes on gravitational instantons,” Nucl. Phys. B 850, 253-272 (2011) [arXiv:1011.6464 [hep-th]].
  44. Y. Chen and E. Teo, “A Rotating black lens solution in five dimensions”, Phys. Rev. D 78, 064062 (2008).
  45. Y. Chen, K. Hong and E. Teo, “Unbalanced Pomeransky-Sen’kov black ring,” Phys. Rev. D 84, 084030 (2011) [arXiv:1108.1849 [hep-th]].
  46. H. Iguchi, K. Izumi and T. Mishima, “Systematic solution-generation of five-dimensional black holes,” Prog. Theor. Phys. Suppl. 189, 93-125 (2011) [arXiv:1106.0387 [gr-qc]].
  47. J. V. Rocha, M. J. Rodriguez and A. Virmani, “Inverse Scattering Construction of a Dipole Black Ring,” JHEP 11, 008 (2011) [arXiv:1108.3527 [hep-th]].
  48. Y. Chen, K. Hong and E. Teo, “A Doubly rotating black ring with dipole charge,” JHEP 06, 148 (2012) [arXiv:1204.5785 [hep-th]].
  49. Y. Chen and E. Teo, “Rotating black rings on Taub-NUT,” JHEP 06, 068 (2012) [arXiv:1204.3116 [hep-th]].
  50. J. V. Rocha, M. J. Rodriguez and O. Varela, “An Electrically charged doubly spinning dipole black ring,” JHEP 12, 121 (2012) [arXiv:1205.0527 [hep-th]].
  51. A. Feldman and A. A. Pomeransky, “Charged black rings in supergravity with a single non-zero gauge field,” JHEP 07, 141 (2012) [arXiv:1206.1026 [hep-th]].
  52. Y. Chen, “Gravitational multisoliton solutions on flat space,” Phys. Rev. D 93, no.4, 044021 (2016) [arXiv:1512.00032 [gr-qc]].
  53. S. Tomizawa and T. Mishima, “Stationary and biaxisymmetric four-soliton solution in five dimensions,” Phys. Rev. D 99, no.10, 104053 (2019) [arXiv:1902.10544 [hep-th]].
  54. J. Lucietti and F. Tomlinson, “Moduli space of stationary vacuum black holes from integrability,” Adv. Theor. Math. Phys. 26, no.2, 371 (2022) [arXiv:2008.12761 [gr-qc]].
  55. J. Lucietti and F. Tomlinson, “On the nonexistence of a vacuum black lens,” JHEP 21, 005 (2020) [arXiv:2012.00381 [gr-qc]].
  56. S. Tomizawa and R. Suzuki, “Black lens in a bubble of nothing,” Phys. Rev. D 106, no.12, 124029 (2022) [arXiv:2209.11640 [hep-th]].
  57. R. Suzuki and S. Tomizawa, “A Capped Black Hole in Five Dimensions,” [arXiv:2311.11653 [hep-th]].
  58. T. Harmark, “Stationary and axisymmetric solutions of higher-dimensional general relativity,” Phys. Rev. D 70, 124002 (2004) [arXiv:hep-th/0408141 [hep-th]].
  59. R. Emparan and H. S. Reall, “Generalized Weyl solutions,” Phys. Rev. D 65, 084025 (2002) [arXiv:hep-th/0110258 [hep-th]].
  60. R. Emparan and H. S. Reall, “A Rotating black ring solution in five-dimensions,” Phys. Rev. Lett. 88, 101101 (2002) [arXiv:hep-th/0110260 [hep-th]].
  61. C. W. Misner, “The Flatter regions of Newman, Unti and Tamburino’s generalized Schwarzschild space,” J. Math. Phys. 4, 924-938 (1963)
  62. M. Durkee, “Geodesics and Symmetries of Doubly-Spinning Black Rings,” Class. Quant. Grav. 26, 085016 (2009) [arXiv:0812.0235 [gr-qc]].
  63. K. Copsey and G. T. Horowitz, “The Role of dipole charges in black hole thermodynamics,” Phys. Rev. D 73, 024015 (2006) [arXiv:hep-th/0505278 [hep-th]].
  64. H. K. Kunduri and J. Lucietti, “The first law of soliton and black hole mechanics in five dimensions,” Class. Quant. Grav. 31, no.3, 032001 (2014) [arXiv:1310.4810 [hep-th]].
  65. H. Elvang, R. Emparan and A. Virmani, “Dynamics and stability of black rings,” JHEP 12, 074 (2006) [arXiv:hep-th/0608076 [hep-th]].
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