We present a new class of black hole solutions in Einstein-Maxwell-dilaton gravity in n ≥ 4 dimensions. These solutions have regular horizons and a singularity only at the origin. Their asymptotic behavior is neither asymptotically flat nor (anti-) de Sitter.Similar solutions exist for certain Liouville-type potentials for the dilaton.
We analyze the relationship between quasilocal masses calculated for solutions of conformally related theories. We show that the adm mass of a static, spherically symmetric solution is conformally invariant (up to a constant factor) only if the background action functional is conformally invariant. Thus, the requirement of conformal invariance places restrictions on the choice of reference spacetimes. We calculate the mass of the black hole solutions obtained by Garfinkle, Horowitz, and Strominger (ghs) for both the string and the Einstein metrics. In addition, the quasilocal thermodynamic quantities in the string metrics are computed and discussed.
A sign error in the discussion in the paragraph following Eq. (32) renders Figs. 1 and 4 of our paper incorrect. The corrected figures appear below. Figures 2 and 3 are correct, provided the direction of increasing time is left to right. FIG. 1. Penrose diagram of the N = 615 and 413 uncharged black holes. The double line indicates the curvature singularity.
We present a new class of spinning black hole solutions in (2 + 1)-dimensional general relativity minimally coupled to a dilaton with potential e bφ Λ. When b = 4, the corresponding spinning black hole is a solution of low energy (2 + 1)-dimensional string gravity. Apart from the limiting case of the BT Z black hole, these spinning black holes have no inner horizon and a curvature singularity only at the origin. We compute the mass and angular momentum parameters of the solutions at spatial infinity, as well as their temperature and entropy.
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