Generalized pp waves in Poincaré gauge theory

Abstract

Starting from the generalized pp waves that are exact vacuum solutions of general relativity with a cosmological constant, we construct a new family of exact vacuum solutions of Poincaré gauge theory, the generalized pp waves with torsion. The ansatz for torsion is chosen in accordance with the wave nature of the solutions. For a subfamily of these solutions, the metric is dynamically determined by the torsion.

LATEX 18 pages, 4 figures

References in corpus (4)

• PP-waves with torsion and metric-affine gravity
• Gravitational waves in Poincaré gauge gravity theory
• Siklos waves with torsion in 3D
• PP-waves with Torsion - a Metric-affine Model for the Massless Neutrino

Cited by in corpus (14)

• General Poincaré gauge theory: Hamiltonian structure and particle spectrum
• Extended Reissner-Nordström solutions sourced by dynamical torsion
• Generalized plane waves in Poincaré gauge theory of gravity
• New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity
• Plebański-Demiański solutions with dynamical torsion and nonmetricity fields
• Gravitational waves in metric-affine gravity theory
• New metric-affine generalizations of gravitational wave geometries
• Review of gravitational wave solutions in quadratic metric-affine gravity
• Algebraic classification of the gravitational field in Weyl-Cartan space-times
• Memory effect of the pp waves with torsion
• Sakharov's induced gravity and the Poincaré gauge theory
• Velocity memory effect without soft particles
• Algebraic classification of the gravitational field in general metric-affine geometries
• Gravitational waves in Cubic Metric-Affine Gravity