Finite Action Principle and Horava-Lifshitz Gravity: early universe,
  black holes and wormholes
  The destructive interference of the neighbouring field configurations with
infinite classical action in the gravitational path integral approach serves as
a dynamical mechanism resolving the black hole singularity problem. It also
provides an isotropic and homogeneous early universe without the need of
inflation. In this work, we elaborate on the finite action in the framework of
Horava-Lifshitz gravity -- a ghost-free QFT. Assuming the mixmaster chaotic
solutions in the projectable H-L theory, we show that the beginning of the
universe is homogeneous and isotropic. Furthermore, we show that the H-L
gravity action selects only the regular black-hole spacetimes. We also comment
on possibility of traversable wormholes in theories with higher curvature
invariants.
