Rotating Kerr-Newman space-times in Metric-Affine Gravity
Sebastian Bahamonde, Jorge Gigante Valcarcel
TL;DR
This paper introduces new rotating vacuum solutions in Metric-Affine Gravity that incorporate torsion and nonmetricity, extending classical Kerr-Newman solutions to more general geometric frameworks.
Contribution
It presents the first rotating vacuum configurations with dynamical torsion and nonmetricity in Metric-Affine gauge theory, including Kerr-Newman and Kerr-Newman-de Sitter solutions.
Findings
Derived axisymmetric Kerr-Newman solutions with torsion and nonmetricity.
Extended solutions to include cosmological constant and electromagnetic fields.
Demonstrated compatibility with scalar-flat Weyl-Cartan geometries.
Abstract
We present new rotating vacuum configurations endowed with both dynamical torsion and nonmetricity fields in the framework of Metric-Affine gauge theory of gravity. For this task, we consider scalar-flat Weyl-Cartan geometries and obtain an axisymmetric Kerr-Newman solution in the decoupling limit between the orbital and the spin angular momentum. The corresponding Kerr-Newman-de Sitter solution is also compatible with a cosmological constant and additional electromagnetic fields.
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