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

Abstract

A one parameter family of static charged black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton $\varphi \propto ln(\frac{r}{\beta })$ with a potential term $e^{b\varphi }\Lambda$ 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.

17 pgs., 4 figures (appended as postscript files), WATPHYS-TH94/01 (one reference added)

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