Non-extremal black hole solutions from the c-map

A bstract 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 actuall...

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Bibliographic Details
Published in:The journal of high energy physics 2015-05, Vol.2015 (5), p.1, Article 52
Main Authors: Errington, D., Mohaupt, T., Vaughan, O.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2015)052