Black Holes without Mass and Entropy in Lovelock Gravity

Understand

We present a class of new black hole solutions in $D$-dimensional Lovelock gravity theory.

• The solutions have a form of direct product $\mathcal{M}^m \times \mathcal{H}^{n}$, where $D=m+n$, $\mathcal{H}^n$ is a negative constant curvature space, and are characterized by two integration constants.
• When $m=3$ and 4, these solutions reduce to the exact black hole solutions recently found by Maeda and Dadhich in Gauss-Bonnet gravity theory.
• We study thermodynamics of these black hole solutions.