General Poincar\'e Gauge Theory Cosmology

TL;DR

This paper explores FLRW cosmologies within quadratic Poincaré gauge theory of gravity, allowing all parity terms and deriving dynamical equations, with numerical simulations illustrating generic solution behaviors.

Contribution

It provides a comprehensive analysis of isotropic FLRW cosmologies in quadratic Poincaré gauge gravity, including all parity terms without restrictions, and derives both second-order and first-order dynamical equations.

Findings

Numerical simulations illustrate the generic behavior of solutions.

The analysis includes all even and odd parity terms in the quadratic PG.

Effective Lagrangian approach yields second order dynamical equations.

Abstract

For the quadratic Poincar\'e gauge theory of gravity (PG) we consider the FLRW cosmologies using an isotropic Bianchi representation. Here the considered cosmologies are for the general case: all the even and odd parity terms of the quadratic PG with their respective scalar and pseudoscalar parameters are allowed with no \emph{a priori} restrictions on their values. With the aid of a manifestly homogeneous and isotropic representation, an effective Lagrangian gives the second order dynamical equations for the gauge potentials. An equivalent set of first order equations for the observables is presented. The generic behavior of physical solutions is discussed and illustrated using numerical simulations.