Exact solutions for supersymmetric stationary black hole composites

By Brandon Bates, Frederik Denef. 2003

338 citations recorded by the source corpus.

A bstractFour dimensional $ \mathcal{N} = {2} $ supergravity has regular, stationary, asymptotically flat BPS solutions with intrinsic angular momentum, describing bound states of separate extremal black holes with mutually nonlocal charges. Though the existence and some properties of these solutions were established some time ago, fully explicit analytic solutions were lacking thus far. In this note, we fill this gap. We show in general that explicit solutions can be constructed whenever an explicit formula is known in the theory at hand for the Bekenstein-Hawking entropy of a single black hole as a function of its charges, and illustrate this with some simple examples. We also give an example of moduli-dependent black hole entropy.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/de000426f44fdf852443aa6329b36b7ee5ba38e6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Ashoke Sen
2. N. Warner
3. I. Bena
4. Frederik Denef
5. B. Pioline
6. S. El-Showk
7. J. Boer
8. G. Moore

In Nuclear and High Energy Physics

1. Ashoke Sen
2. N. Warner
3. I. Bena
4. B. Pioline
5. Frederik Denef
6. A. Dabholkar
7. G. Moore
8. S. El-Showk

In Statistical and Nonlinear Physics

1. Ashoke Sen
2. N. Warner
3. B. Pioline
4. I. Bena
5. A. Dabholkar
6. Frederik Denef
7. S. El-Showk
8. G. Moore

Citations in the corpus

• Global structure of five-dimensional fuzzballs (2013, background): “Indeed, it was in this context that scaling solutions were first discovered and investigated [27, 34, 35] but it was not until later that the significance of scaling solutions for five-dimensional microstate geometries was discovered [30–32].”
• The Non-BPS black hole attractor equation (2006, background): “Such solutions are discussed (with explicit examples) in [26].”
• Black hole entropy function, attractors and precision counting of microstates (2007, background): “these solutions exist only on one side of the marginal stability wall [140, 141, 142, 144, 145, 146].”
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms (2012, background): “m that one often encounters is that the macroscopic congurations are no longer localized at a point and include not only a single-centered black hole of interest but also several multi-centered ones [46, 47, 11, 48]. Moreover, the indexed degeneracy of the multi-centered congurations typically jumps”
• Four dimensional black hole microstates: from D-branes to spacetime foam (2006, neutral): “25) At this juncture, we see that the reduction of our M-theory solutions down to N = 8 supergravity in four dimensions yields a framework similar to the N = 2 setup in [27, 28, 29].”
• Wall crossing from Boltzmann black hole halos (2010, background): “Since the class of multi-centered solutions potentially unstable at a certain wall of marginal stability exists only on one side of the wall [6, 7, 8], the discontinuity ∆Ω(γ) in Ω(γ, t) is equal to the index of the multi-centered solutions with total charge γ, up to a sign depending whether one ent”
• Quantizing N = 2 multicenter solutions (2008, background): “Our starting point is the class of multicentered black holes solutions rst discussed in [28] [23] and later explicitly constructed in [ 24 ].”
• Supergravity microstates for BPS black holes and black rings (2005, methodology): “We will review the Bena-Warner ansatz in section 2 and then in section 3 we will offer a general form for a solution to these equations (a similar set of ansatz appears in [18, 19, 20, 21, 6, 22]) which are obviously smooth everywhere except at some orbifold points and possibly where the base space ”
• Dying dyons don't count (2007, methodology): “In this case the coordinate distance between the two centers |~xP − ~xQ| is fixed by the integrability condition [16], obtained by taking the divergence of the both sides of (4.”
• 5D black rings and 4D black holes (2005, background): “In a series of beautiful papers [5,6,7] Denef and collaborators have explicitly constructed multi-center 4D BPS black hole solutions which in general carry angular momenta.”
• Black hole bound states in AdS(3) x S**2 (2008, methodology): “[ 18 ] by noting that there the convention G4 = 1 was used.”
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence (2008, background): “On the other hand as we cross a wall of marginal stability new multi-centered solutions carrying the same total charge and mass appear, and dmicro(~q) in such a background should count the total degeneracies of single and multi-centered black holes [56,57,58,59,60,61,7,62,63,64].”
• The statistical mechanics of near-BPS black holes (2020, background): “Thus, it would be interesting to understand such corrections coming from multi-centered black hole solutions [46, 109–111].”
• Mergers and typical black hole microstates (2006, background): “3), and reduce the resulting smooth five-dimensional solution to a singular four-dimensional multi-black-hole solution of the type explored in [24,25].”