Constructing black hole solutions in supergravity theories

Abstract

We perform a detailed analysis of black hole solutions in supergravity models. After a general introduction on black holes in general relativity and supersymmetric theories, we provide a detailed description of ungauged extended supergravities and their dualities. Therefore, we analyze the general form of black hole configurations for these models, their near-horizon behavior and characteristic of the solution. An explicit construction of a black hole solution with its physical implications is given for the STU-model. The second part of this review is dedicated to gauged supergravity theories. We describe a step-by-step gauging procedure involving the embedding tensor formalism, to be used to obtain a gauged model starting from an ungauged one. Finally, we analyze general black hole solutions in gauged models, providing an explicit example for the $\mathcal{N}=2$, $D=4$ case. A brief review on special geometry is also provided, with explicit results and relations for supersymmetric black hole solutions.

87 pages

References in corpus (14)

• Near-horizon symmetries of extremal black holes
• The maximal D=4 supergravities
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Charge Orbits of Symmetric Special Geometries and Attractors
• Universal BPS structure of stationary supergravity solutions
• Charting the landscape of N=4 flux compactifications
• First Order Description of Black Holes in Moduli Space
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Almost BPS black holes
• Towards a Novel no-hair Theorem for Black Holes
• Multi-Center non-BPS Black Holes - the Solution
• Mass of asymptotically anti-de Sitter hairy spacetimes
• On the non-BPS first order flow in N=2 U(1)-gauged Supergravity
• Introductory Lectures on Extended Supergravities and Gaugings

Cited by in corpus (10)

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• Phase transitions of neutral planar hairy AdS black holes
• Exact holographic RG flows in extended SUGRA
• Spontaneous scalarization in (A)dS gravity at zero temperature
• Bianchi IX geometry and the Einstein-Maxwell theory
• Study of tunneling radiation and thermal fluctuations of a gauge super gravity like black hole
• Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula
• Instability of supersymmetric black holes via quantum phase transitions