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On anharmonic stabilisation equations for black holes · Around

2012

On anharmonic stabilisation equations for black holes

Galli, Pietro, Goldstein, Kevin, Perz, Jan

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We investigate the stabilisation equations for sufficiently general, yet regular, extremal (supersymmetric and non-supersymmetric) and non-extremal black holes in four-dimensional N=2 supergravity using both the H-FGK approach and a generalisation of Denef's formalism.

By an explicit calculation we demonstrate that the equations necessarily contain an anharmonic part, even in the static, spherically symmetric and asymptotically flat case.

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W. Sabra, General static N = 2 N=2 black holes
1997
Earlier work this paper cites.
K. Behrndt, D. Lüst, and W. A. Sabra, Stationary solutions of N = 2 N=2 supergravity
1998
Earlier work this paper cites.
F. Denef, Supergravity flows and D-brane stability
2000
Earlier work this paper cites.
G. L. Cardoso, A. Ceresole, G. Dall’Agata, J. M. Oberreuter, and J. Perz, First-order flow equations for extremal black holes in very special geometry
Original
2007
Earlier work this paper cites.
J. Bellorín, P. Meessen, and T. Ortín, Supersymmetry, attractors and cosmic censorship
2007
Earlier work this paper cites.

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Then

P. Galli, T. Ortín, J. Perz, and C. S. Shahbazi, Non-extremal black holes of N = 2 N=2 , d = 4 d=4 supergravity
Original
2011
Later among the works it cites.
T. Mohaupt and O. Vaughan, The Hesse potential, the c-map and black hole solutions
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2012
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P. Meessen, T. Ortín, J. Perz, and C. S. Shahbazi, H-FGK formalism for black-hole solutions of N = 2 N=2 , d = 4 d=4 and d = 5 d=5 supergravity
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P. Meessen, T. Ortín, J. Perz, and C. S. Shahbazi, Black holes and black strings of N = 2 N=2 , d = 5 d=5 supergravity in the H-FGK formalism
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Closest in time.
G. Bossard and S. Katmadas, Duality covariant non-BPS first order systems

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