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Static Charged Black Holes in $(2+1)$ Dimensional Dilaton Gravity

K. C. K. Chan·R. B. Mann
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Abstract

A one parameter family of static charged black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton $ϕ\propto ln({r\overβ})$ with a potential term $e^{bϕ}Λ$ is obtained. Their causal strutures are investigated, and thermodynamical temperature and entropy are computed. One particular black hole in the family has the same thermodynamical properties as the Schwarzschild black hole in $3+1$ dimensions. Solutions with cosmological horizons are also discussed. Finally, a class of black holes arising from the dilaton with a negative kinetic term (tachyon) is briefly discussed.

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K. C. K. Chan, R. B. Mann. 1994-04-25. Static Charged Black Holes in $(2+1)$ Dimensional Dilaton Gravity. https://doi.org/10.1103/physrevd.50.6385%2010.1103%2Fphysrevd.52.2600

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