Holographic Renormalization in Teleparallel Gravity

TL;DR

This paper addresses IR divergences in teleparallel gravity's action in asymptotically Minkowski spacetimes, proposing a holographic renormalization approach by adding surface terms, and clarifies the variational procedure involving the spin connection.

Contribution

It introduces a teleparallel analogue of holographic renormalization and clarifies the variational principle with respect to the spin connection.

Findings

IR divergences caused by inertial effects are removable by surface terms

A renormalized action free of divergences is constructed

The variational problem with respect to the spin connection is clarified

Abstract

We consider the problem of IR divergences of the action in the covariant formulation of teleparallel gravity in asymptotically Minkowski spacetimes. We show that divergences are caused by inertial effects and can be removed by adding an appropriate surface term, leading to the renormalized action. This process can be viewed as a teleparallel analogue of holographic renormalization. Moreover, we explore the variational problem in teleparallel gravity and explain how the variation with respect to the spin connection should be performed.