Generalized plane-fronted gravitational waves in any dimension

Abstract

We study the gravitational waves in spacetimes of arbitrary dimension. They generalize the pp-waves and the Kundt waves, obtained earlier in four dimensions. Explicit solutions of the Einstein and Einstein-Maxwell equations are derived for an arbitrary cosmological constant.

Revtex, 18 pages, no figures

References in corpus (5)

• Black holes in Godel universes and pp-waves
• Black strings in asymptotically plane wave geometries
• Generalizations of pp-wave spacetimes in higher dimensions
• Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes
• Generalised Kundt waves and their physical interpretation

Cited by in corpus (27)

• On Spacetimes with Constant Scalar Invariants
• Algebraic classification of higher dimensional spacetimes based on null alignment
• PP-waves with torsion and metric-affine gravity
• Gravitational waves in Poincaré gauge gravity theory
• Generalized plane waves in Poincaré gauge theory of gravity
• Plane waves in metric-affine gravity
• Linear connections with propagating spin-3 field in gravity
• Type III and N Einstein spacetimes in higher dimensions: general properties
• Exact Foldy-Wouthuysen transformation for gravitational waves and magnetic field background
• Electromagnetic fields with vanishing scalar invariants
• Generalized pp waves in Poincaré gauge theory
• On the energy transported by exact plane gravitational-wave solutions
• Higher dimensional spacetimes with a geodesic, shearfree, twistfree and expanding null congruence
• Plane fronted gravitational waves in Lovelock-Yang-Mills theory
• Gravitational waves in metric-affine gravity theory
• Type III Einstein-Yang-Mills solutions
• PP-waves with Torsion - a Metric-affine Model for the Massless Neutrino
• Siklos waves with torsion in 3D
• Can be gravitational waves markers for an extra-dimension?
• Gravitational waves with torsion in 3D
• Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation
• Memory effect of the pp waves with torsion
• The curvature homogeneity bound for Lorentzian four-manifolds
• All non-expanding gravitational waves in $D$-dimensional (anti-)de Sitter space
• Elliptically Polarized Plane Gravitational Waves
• Electrovac $pp$-waves
• Torsion Wave Solutions in Yang-Mielke Theory of Gravity