Lovelock Branes

Understand

We study the problem of finding brane-like solutions to Lovelock gravity, adopting a general approach to establish conditions that a lower dimensional base metric must satisfy in order that a solution to a given Lovelock theory can be constructed in one higher dimension.

• We find that for Lovelock theories with generic values of the coupling constants, the Lovelock tensors (higher curvature generalizations of the Einstein tensor) of the base metric must all be proportional to the metric.
• Hence, allowed base metrics form a subclass of Einstein metrics.
• This subclass includes so-called `universal metrics', which have been previously investigated as solutions to quantum-corrected field equations.