AdS-Maxwell Bf Theory As A Model Of Gravity And Bi-Gravity

TL;DR

This paper develops an extended gravity model by gauging the AdS-Maxwell algebra, resulting in a bi-gravity framework with two independent connections and Einstein equations.

Contribution

It introduces a novel gravity model based on the AdS-Maxwell algebra, incorporating additional fields and algebraic extensions to produce a bi-gravity theory.

Findings

The model features two independent spin connections.

It results in a pair of Einstein equations.

The algebraic extension leads to new gravitational dynamics.

Abstract

This article presents an extended model of gravity obtained by gauging the AdS-Mawell algebra. It involves additional fields that shift the spin connection, leading effectively to theory of two independent connections. Extension of algebraic structure by another tetrad gives rise to the model described by a pair of Einstein equations.