Braneworld setup and embedding in teleparallel gravity

TL;DR

This paper develops a five-dimensional braneworld model within teleparallel gravity, analyzing different brane configurations, their effective four-dimensional actions, and the impact on cosmological evolution and inflationary parameters.

Contribution

It introduces a novel braneworld setup in teleparallel gravity, exploring its effects on 4D cosmology and inflation, which differ from general relativity due to unique junction conditions.

Findings

4D local Lorentz invariance is recovered in both brane cases.

The cosmological evolution equations differ from GR due to junction conditions.

Inflationary parameters are modified compared to the GR case.

Abstract

We construct the setup of a five-dimensional braneworld scenario in teleparallel gravity. Both cases of Minkowski and Friedmann-Robertson-Walker branes embedded in Anti de Sitter bulk are studied and the effective 4-D action were studied. 4-dimensional local Lorentz invariance is found to be recovered in both cases. However, due to different junction conditions, the equations governing the 4-D cosmological evolution differ from general relativistic case. Using the results of Ref. [13], we consider a simple inflationary scenario in this setup. The inflation parameters are found to be modified compared to general relativistic case.