Subttractors

Article

Abstract

We consider extremal limits of the recently constructed “subtracted geometry”. We show that extremality makes the horizon attractive against scalar perturbations, but radial evolution of such perturbations changes the asymptotics: from a conical-box to flat Minkowski. Thus these are black holes that retain their near-horizon geometry under perturbations that drastically change their asymptotics. We also show that this extremal subtracted solution (“subttractor”) can arise as a boundary of the basin of attraction for flat space attractors. We demonstrate this by using a fairly minimal action (that has connections with STU model) where the equations of motion are integrable and we are able to find analytic solutions that capture the flow from the horizon to the asymptotic region. The subttractor is a boundary between two qualitatively different flows. We expect that these results have generalizations for other theories with charged dilatonic black holes.

Keywords

Black Holes in String Theory Supergravity Models 

References

  1. [1]
    A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  2. [2]
    S. Ferrara, R. Kallosh and A. Strominger, N=2 extremal black holes, Phys. Rev. D 52 (1995) 5412 [hep-th/9508072] [INSPIRE].MathSciNetADSGoogle Scholar
  3. [3]
    A. Sen, Black Hole Entropy Function, Attractors and Precision Counting of Microstates, Gen. Rel. Grav. 40 (2008) 2249 [arXiv:0708.1270] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  4. [4]
    N. Banerjee, I. Mandal and A. Sen, Black Hole Hair Removal, JHEP 07 (2009) 091 [arXiv:0901.0359] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  5. [5]
    J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].MathSciNetADSMATHGoogle Scholar
  6. [6]
    G. ’t Hooft, Dimensional reduction in quantum gravity, gr-qc/9310026 [INSPIRE].
  7. [7]
    L. Susskind, The World as a hologram, J. Math. Phys. 36 (1995) 6377 [hep-th/9409089] [INSPIRE].MathSciNetADSCrossRefMATHGoogle Scholar
  8. [8]
    A. Dabholkar, A. Sen and S.P. Trivedi, Black hole microstates and attractor without supersymmetry, JHEP 01 (2007) 096 [hep-th/0611143] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  9. [9]
    K. Goldstein, N. Iizuka, R.P. Jena and S.P. Trivedi, Non-supersymmetric attractors, Phys. Rev. D 72 (2005) 124021 [hep-th/0507096] [INSPIRE].MathSciNetADSGoogle Scholar
  10. [10]
    M. Cvetič and F. Larsen, General rotating black holes in string theory: grey body factors and event horizons, Phys. Rev. D 56 (1997) 4994 [hep-th/9705192] [INSPIRE].ADSGoogle Scholar
  11. [11]
    M. Guica, T. Hartman, W. Song and A. Strominger, The Kerr/CFT Correspondence, Phys. Rev. D 80 (2009) 124008 [arXiv:0809.4266] [INSPIRE].MathSciNetADSGoogle Scholar
  12. [12]
    H. Lü, J. Mei and C. Pope, Kerr/CFT Correspondence in Diverse Dimensions, JHEP 04 (2009) 054 [arXiv:0811.2225] [INSPIRE].CrossRefGoogle Scholar
  13. [13]
    T. Hartman, K. Murata, T. Nishioka and A. Strominger, CFT Duals for Extreme Black Holes, JHEP 04 (2009) 019 [arXiv:0811.4393] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  14. [14]
    C. Krishnan and S. Kuperstein, A Comment on Kerr-CFT and Wald Entropy, Phys. Lett. B 677 (2009) 326 [arXiv:0903.2169] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  15. [15]
    G. Compere, The Kerr/CFT correspondence and its extensions: a comprehensive review, Living Rev. Rel. 15 (2012) 11 [arXiv:1203.3561] [INSPIRE].Google Scholar
  16. [16]
    A. Castro, A. Maloney and A. Strominger, Hidden Conformal Symmetry of the Kerr Black Hole, Phys. Rev. D 82 (2010) 024008 [arXiv:1004.0996] [INSPIRE].MathSciNetADSGoogle Scholar
  17. [17]
    C. Krishnan, Hidden Conformal Symmetries of Five-Dimensional Black Holes, JHEP 07 (2010) 039 [arXiv:1004.3537] [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    M. Cvetič and F. Larsen, Conformal Symmetry for General Black Holes, JHEP 02 (2012) 122 [arXiv:1106.3341] [INSPIRE].ADSCrossRefGoogle Scholar
  19. [19]
    M. Cvetič and F. Larsen, Conformal Symmetry for Black Holes in Four Dimensions, JHEP 09 (2012) 076 [arXiv:1112.4846] [INSPIRE].ADSCrossRefGoogle Scholar
  20. [20]
    M. Cvetič and G. Gibbons, Conformal Symmetry of a Black Hole as a Scaling Limit: A Black Hole in an Asymptotically Conical Box, JHEP 07 (2012) 014 [arXiv:1201.0601] [INSPIRE].ADSCrossRefGoogle Scholar
  21. [21]
    A. Virmani, Subtracted Geometry From Harrison Transformations, JHEP 07 (2012) 086 [arXiv:1203.5088] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  22. [22]
    G. Gibbons and K.-i. Maeda, Black Holes and Membranes in Higher Dimensional Theories with Dilaton Fields, Nucl. Phys. B 298 (1988) 741 [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  23. [23]
    H. Lü and C. Pope, SL(N+1,R) Toda solitons in supergravities, Int. J. Mod. Phys. A 12 (1997) 2061 [hep-th/9607027] [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    A. Chakraborty and C. Krishnan, Generalized Subtracted Geometries and the Phases of Attraction, to appear.Google Scholar
  25. [25]
    M. Cvetič and D. Youm, General rotating five-dimensional black holes of toroidally compactified heterotic string, Nucl. Phys. B 476 (1996) 118 [hep-th/9603100] [INSPIRE].ADSCrossRefGoogle Scholar
  26. [26]
    A. Chakraborty, C. Krishnan and A. Raju, Attraction, Subtraction and Toda Solutions: STU model and Beyond, to appear.Google Scholar
  27. [27]
    Z.-W. Chong, M. Cvetič, H. Lü and C. Pope, Charged rotating black holes in four-dimensional gauged and ungauged supergravities, Nucl. Phys. B 717 (2005) 246 [hep-th/0411045] [INSPIRE].ADSCrossRefGoogle Scholar
  28. [28]
    M. Baggio, J. de Boer, J.I. Jottar and D.R. Mayerson, Conformal Symmetry for Black Holes in Four Dimensions and Irrelevant Deformations, JHEP 04 (2013) 084 [arXiv:1210.7695] [INSPIRE].ADSCrossRefGoogle Scholar
  29. [29]
    C. Krishnan, Quantum Field Theory, Black Holes and Holography, arXiv:1011.5875 [INSPIRE].
  30. [30]
    S. Jana and C. Krishnan, work in progress.Google Scholar
  31. [31]
    A. Chakraborty and C. Krishnan, Attraction, with Boundaries, arXiv:1212.6919 [INSPIRE].
  32. [32]
    S. Jana and C. Krishnan, A Kaluza-Klein Subttractor, arXiv:1303.3097 [INSPIRE].

Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Center for High Energy PhysicsIndian Institute of ScienceBangaloreIndia

Personalised recommendations