Nonextremal black holes in gauged supergravity and the real formulation of special geometry II

Abstract

In arXiv:1207.2679 a new prescription for finding nonextremal black hole solutions to N=2, D=4 Fayet-Iliopoulos gauged supergravity was presented, and explicit solutions of various models containing one vector multiplet were constructed. Here we use the same method to find new nonextremal black holes to more complicated models. We also provide a general recipe to construct non-BPS extremal solutions for an arbitrary prepotential, as long as an axion-free condition holds. These follow from a set of first-order conditions, and are related to the corresponding supersymmetric black holes by a multiplication of the charge vector with a constant field rotation matrix S. The fake superpotential driving this first-order flow is nothing else than Hamilton's characteristic function in a Hamilton-Jacobi formalism, and coincides in the supersymmetric case (when S is plus or minus the identity) with the superpotential proposed by Dall'Agata and Gnecchi in arXiv:1012.3756. For the nonextremal black holes that asymptote to (magnetic) AdS, we compute both the mass coming from holographic renormalization and the one appearing in the superalgebra. The latter correctly vanishes in the BPS case, but also for certain values of the parameters that do not correspond to any known supersymmetric solution of N=2 gauged supergravity. We finally show that the product of all horizon areas depends only on the charges and the asymptotic value of the cosmological constant.

34 pages, uses jhep3.cls

References in corpus (5)

• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• On five-dimensional non-extremal charged black holes and FRW cosmology

Cited by in corpus (27)

• Rotating black holes in 4d gauged supergravity
• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
• Gluing gravitational blocks for AdS black holes
• Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• Rotating attractors and BPS black holes in $Ad{S}_4$
• On the non-BPS first order flow in N=2 U(1)-gauged Supergravity
• Static BPS black holes in U(1) gauged supergravity
• N=2 Einstein-Yang-Mills' static two-center solutions
• Small Black Hole Explosions
• First order flow for non-extremal AdS black holes and mass from holographic renormalization
• Black string first order flow in N=2, d=5 abelian gauged supergravity
• Symplectically invariant flow equations for N=2, D=4 gauged supergravity with hypermultiplets
• Non-extremal black hole solutions from the c-map
• Black holes with halos
• On the correspondence between black holes, domain walls and fluxes
• Nernst branes from special geometry
• Nonlinear symmetries of black hole entropy in gauged supergravity
• Rotating black holes in the FI-gauged $N=2$, $D=4$ ${\overline{\mathbb{C}\text{P}}}^n$ model
• Supersymmetric black holes with spiky horizons
• Duality invariance in Fayet-Iliopoulos gauged supergravity
• First order flow equations for nonextremal black holes in AdS (super)gravity
• Gravitational Blocks: Symplectic Covariance Unveiled
• Super throats with non trivial scalars
• Lifshitz and Schrodinger Vacua, Superstar Resolution in Gauged Maximal Supergravities
• Supersymmetric Black Holes in AdS4 from Very Special Geometry