Plebański-Demiański solutions with dynamical torsion and nonmetricity fields

Abstract

We construct Plebański-Demiański stationary and axisymmetric solutions with two expanding and double principal null directions in the framework of Metric-Affine gauge theory of gravity. Starting from the new improved form of the metric with vanishing cosmological constant recently achieved by Podolský and Vrátný, we extend this form in the presence of a cosmological constant and derive the conditions under which the physical sources of the torsion and nonmetricity tensors provide dynamical contributions preserving it in Weyl-Cartan geometry. The resulting black hole configurations are characterised by the mass, orbital angular momentum, acceleration, NUT parameter, cosmological constant and electromagnetic charges of the Riemannian sector of the theory, as well as by the spin and dilation charges of the torsion and nonmetricity fields. The former is subject to a constraint representing a decoupling limit with the parameters responsible of axial symmetry, beyond which the geometry of the space-time is expected to be corrected.

18 pages, minor changes, references added. It matches the version published in JCAP

References in corpus (7)

• Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
• Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
• Generalized plane waves in Poincaré gauge theory of gravity
• Exact Solutions in Poincaré Gauge Gravity Theory
• Entropy in Poincaré gauge theory: Kerr-AdS solution