New models with independent dynamical torsion and nonmetricity fields

TL;DR

This paper introduces a novel gravitational model within Metric-Affine gauge theory that independently describes torsion and nonmetricity, presenting a new black hole solution with unique spin and dilation charges.

Contribution

It develops a new gravitational model with independent dynamical torsion and nonmetricity fields and derives the first known black hole solution exhibiting independent spin and dilation charges.

Findings

Derived a new exact black hole solution in the model

Extended the role of torsion in known solutions

First isolated gravitational system with independent spin and dilation charges

Abstract

We propose a gravitational model which allows the independent dynamical behaviour of the torsion and nonmetricity fields to be displayed in the framework of Metric-Affine gauge theory of gravity. For this task, we derive a new exact black hole solution referred to this model which extends the role of torsion of the main well-known exact solutions based on Weyl-Cartan geometry and constitutes the first known isolated gravitational system characterized by a metric tensor with independent spin and dilation charges.