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arXiv · 1307.2305

SL(n,R)-Toda Black Holes

H. Lu·Wei Yang
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Abstract

We consider D-dimensional Einstein gravity coupled to (n-1) U(1) vector fields and (n-2) dilatonic scalars. We find that for some appropriate exponential dilaton couplings of the field strengths, the equations of motion for the static charged ansatz can be reduced to a set of one-dimensional SL(n,R) Toda equations. This allows us to obtain a general class of explicit black holes with mass and (n-1) independent charges. The near-horizon geometry in the extremal limit is AdS_2 x S^{D-2}. The n=2 case gives the Reissner-Nordstrom solution, and the n=3 example includes the Kaluza-Klein dyon. We study the global structure and the black hole thermodynamics and obtain the universal entropy product formula. We also discuss the characteristics of extremal multi-charge black holes that have positive, zero or negative binding energies.

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H. Lu, Wei Yang. 2013-07-08. SL(n,R)-Toda Black Holes. https://doi.org/10.1088/0264-9381%2F30%2F23%2F235021

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