Non-extremal black hole solutions from the <i>c</i>-map

Errington, D, Mohaupt, T ORCID: 0000-0002-6864-4086 and Vaughan, O (2015) Non-extremal black hole solutions from the <i>c</i>-map. JOURNAL OF HIGH ENERGY PHYSICS, 2015 (5). 52-.

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Abstract

We construct new static, spherically symmetric non-extremal black hole solutions of four-dimensional ${\cal N}=2$ 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.

Item Type:	Article
Additional Information:	57 pages. Minor changes to the introduction, typos corrected and references added. Accepted for publication in JHEP
Uncontrolled Keywords:	Black Holes in String Theory, Black Holes, Supergravity Models
Subjects:	?? QA ?? ?? QC ??
Depositing User:	Symplectic Admin
Date Deposited:	25 Nov 2015 17:14
Last Modified:	15 Mar 2024 06:16
DOI:	10.1007/JHEP05(2015)052
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2038944