Attraction, with Boundaries

Preprint English OPEN
Chakraborty, Avik ; Krishnan, Chethan (2012)
  • Subject: High Energy Physics - Theory

We study the basin of attraction of static extremal black holes, in the concrete setting of the STU model. By finding a connection to a decoupled Toda-like system and solving it exactly, we find a simple way to characterize the attraction basin via competing behaviors of certain parameters. The boundaries of attraction arise in the various limits where these parameters degenerate to zero. We find that these boundaries are generalizations of the recently introduced (extremal) subtracted geometry: the warp factors still exhibit asymptotic integer power law behaviors, but the powers can be different from one. As we cross over one of these boundaries ("generalized subttractors"), the solutions turn unstable and start blowing up at finite radius and lose their asymptotic region. Our results are fully analytic, but we also solve a simpler theory where the attraction basin is lower dimensional and easy to visualize, and present a simple picture that illustrates many of the basic ideas.
  • References (32)
    32 references, page 1 of 4

    [1] K. Goldstein, N. Iizuka, R. P. Jena and S. P. Trivedi, \Non-supersymmetric attractors," Phys. Rev. D 72, 124021 (2005) [hep-th/0507096].

    [2] S. Ferrara, R. Kallosh and A. Strominger, \N=2 extremal black holes," Phys. Rev. D 52, 5412 (1995) [hep-th/9508072].

    [3] A. Sen, \Black Hole Entropy Function, Attractors and Precision Counting of Microstates," Gen. Rel. Grav. 40, 2249 (2008) [arXiv:0708.1270 [hep-th]].

    [4] A. Dabholkar, A. Sen and S. P. Trivedi, \Black hole microstates and attractor without supersymmetry," JHEP 0701, 096 (2007) [hep-th/0611143].

    [5] A. Chakraborty and C. Krishnan, \Subttractors," arXiv:1212.1875 [hep-th].

    [6] M. Cvetic and F. Larsen, \Conformal Symmetry for General Black Holes," JHEP 1202, 122 (2012) [arXiv:1106.3341 [hep-th]].

    [7] M. Cvetic and F. Larsen, \Conformal Symmetry for Black Holes in Four Dimensions," JHEP 1209, 076 (2012) [arXiv:1112.4846 [hep-th]].

    [8] M. Cvetic and G. W. Gibbons, \Conformal Symmetry of a Black Hole as a Scaling Limit: A Black Hole in an Asymptotically Conical Box," JHEP 1207, 014 (2012) [arXiv:1201.0601 [hep-th]].

    [9] M. Cvetic and F. Larsen, \General rotating black holes in string theory: Grey body factors and event horizons," Phys. Rev. D 56, 4994 (1997) [hep-th/9705192].

    [10] C. Krishnan, \Quantum Field Theory, Black Holes and Holography," arXiv:1011.5875 [hep-th].

  • Metrics
    No metrics available
Share - Bookmark