2014/08/31 by David Errington, D. Errington, Thomas Mohaupt +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Class (philosophy) #Computer science #Cosmology and Gravitation Theories #Focus (optics) #Geometry #Heterotic string theory #Homogeneous #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Reduction (mathematics) #Statistical physics #Supergravity #Supersymmetry #Theoretical physics #Tree (set theory) #Type (biology) #hep-th
paper · pdf · doi:10.1007/jhep05(2015)052
57 pages. Minor changes to the introduction, typos corrected and references added. Accepted for publication in JHEP
openalex publication_date 2015/05/01 · arxiv created 2015/05/19 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct new static, spherically symmetric non-extremal black hole solutions of four-dimensional N=2 supergravity, using a systematic technique based on dimensional reduction over time (the c-map) and the real formulation of special geometry. For a certain class of models we actually obtain the general solution to the full second order equations of motion, whilst for other classes of models, such as those obtainable by dimensional reduction from five dimensions, heterotic tree-level models, and type-II Calabi-Yau compactifications in the large volume limit a partial set of solutions are found. When considering specifically non-extremal black hole solutions we find that regularity conditions reduce the number of integration constants by one half. Such solutions satisfy a unique set of first order equations, which we identify. Several models are investigated in detail, including examples of non-homogeneous spaces such as the quantum deformed STU model. Though we focus on static, spherically symmetric solutions of ungauged supergravity, the method is adaptable to other types of solutions and to gauged supergravity.