Higher Dimensional Dilaton Black Holes with Cosmological Constant
Chang Jun Gao, Shuang Nan Zhang
TL;DR
This paper constructs a metric for higher-dimensional dilaton black holes incorporating a cosmological constant, revealing a complex coupling between the dilaton field and the cosmological constant through a potential with three Liouville-type terms.
Contribution
It introduces a new solution for higher-dimensional dilaton black holes with a cosmological constant, highlighting a non-trivial coupling and a specific form of the dilaton potential.
Findings
The cosmological constant couples to the dilaton non-trivially.
The dilaton potential comprises three Liouville-type potentials.
The metric for these black holes is explicitly constructed.
Abstract
The metric of a higher-dimensional dilaton black hole in the presence of a cosmological constant is constructed. It is found that the cosmological constant is coupled to the dilaton in a non-trivial way. The dilaton potential with respect to the cosmological constant consists of three Liouville-type potentials.
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