Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes

TL;DR

This paper explores how Horava-Lifshitz gravity, a ghost-free quantum field theory, naturally resolves black hole singularities, predicts a homogeneous early universe without inflation, and favors regular black hole solutions, with implications for wormholes.

Contribution

It demonstrates that finite action in Horava-Lifshitz gravity addresses black hole singularities and supports a homogeneous early universe without inflation, extending the understanding of quantum gravity effects.

Findings

Black hole singularities are resolved by destructive interference in the path integral.

The early universe is shown to be homogeneous and isotropic without inflation.

The theory favors regular black hole spacetimes and discusses traversable wormholes.

Abstract

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.