Flow equations for non-BPS extremal black holes

By A. Ceresole, G. Dall’Agata. 2007

239 citations recorded by the source corpus.

We exploit some common features of black hole and domain wall solutions of (super)gravity theories coupled to scalar fields and construct a class of stable extremal black holes that are non-BPS, but still can be described by first-order differential equations. These are driven by a ``superpotential'', which replaces the central charge in the usual black hole potential. We provide a general procedure for finding this class and deriving the associated ``superpotential''. We also identify some other cases which do not belong to this class, but show a similar behaviour.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/64e0cd4a8cb69d10f87107657e451450161a9ee0

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. Eran Palti
2. Ashoke Sen
3. M. Schnabl
4. S. Trivedi
5. B. Zwiebach
6. L. Rastelli
7. A. Dabholkar
8. Rajesh Kumar Gupta

In Nuclear and High Energy Physics

1. Eran Palti
2. Ashoke Sen
3. M. Schnabl
4. S. Trivedi
5. B. Zwiebach
6. L. Rastelli
7. A. Dabholkar
8. Yuji Tachikawa

Citations in the corpus

• Black hole entropy function, attractors and precision counting of microstates (2007, background): “Various other recent references on entropy function and attractor mechanism can be found in [177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213, 214,215,216,217,218,219,220,221,222,223,224,”
• The Swampland: Introduction and Review (2019, background): “patially varying prole, we should specify that (3.43) holds at innity. Indeed, on the extremal black hole horizon the scalar elds are xed to their attractor values such that they solve @ jM ADM = 0 [98]. The equation (3.43) is analogous to (3.38), suggesting a connection to discharge of black holes.”
• The weak gravity conjecture and scalar fields (2017, background): “17) where W is a real function, termed the ‘fake superpotential’, then the ADM mass is given by MADM = W|∞ and on the horizon the fields solve ∂iW = 0 [37,38].”