## Abstract The macroscopic entropy and the attractor equations for extremal black hole solutions follow from a variational principle based on an entropy function. We review this variational principle for static extremal black holes in four space‐time dimensions and we discuss an example in the con
Extremal black holes, attractor equations, and harmonic functions
✍ Scribed by T. Mohaupt; K. Waite
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 122 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0015-8208
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We review the construction of multi‐centered black hole solutions through dimensional reduction over time. This method does not rely on Killing spinor equations or gradient flow equations, but on solving the second order field equations in terms of harmonic functions. The black hole attractor equations are obtained directly from the field equations.
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