| Abstract: |
We study gravitational wave propagation in Lovelock theories of gravity, which are extensions of Einstein's theory by higher-curvature corrections, to examine if it has good properties such as causality and hyperbolicity. We study the propagation on various background solutions, and find that the propagation on plane wave solutions obey the causality, while that on spherically-symmetric solutions may violate hyperbolicity. In the latter case, time evolution is not well-posed and the theories start to show pathological behaviors. We discuss implications of this phenomenon. |
