Gyratonic pp-waves and their impulsive limit

Abstract

We investigate a class of gravitational pp-waves which represent the exterior vacuum field of spinning particles moving with the speed of light. Such exact spacetimes are described by the original Brinkmann form of the pp-wave metric including the often neglected off-diagonal terms. We put emphasis on a clear physical and geometrical interpretation of these off-diagonal metric components. We explicitly analyze several new properties of these spacetimes associated with the spinning character of the source, such as rotational dragging of frames, geodesic deviation, impulsive limits and the corresponding behavior of geodesics.

arXiv comment28 pages, 2 figures

References in corpus (20)

• All spacetimes with vanishing curvature invariants
• Metrics With Vanishing Quantum Corrections
• Gravitational field of a spinning radiation beam-pulse in higher dimensions
• Gravitational field of relativistic gyratons
• Relativistic gyratons in asymptotically AdS spacetime
• Interpreting spacetimes of any dimension using geodesic deviation
• Exact impulsive gravitational waves in spacetimes of constant curvature
• Gyratons on direct-product spacetimes
• Chaos in pp-wave spacetimes
• Boosted static multipole particles as sources of impulsive gravitational waves
• Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves
• Gravitational field of charged gyratons
• Higher-dimensional Kundt waves and gyratons
• Apparent horizon formation in the head-on collision of gyratons
• Non-expanding impulsive gravitational waves
• Supersymmetric gyratons in five dimensions
• String Gyratons in Supergravity
• Chaotic motion in pp-wave spacetimes
• Gyratons on Melvin spacetime
• On the completeness of impulsive gravitational wave space-times

Cited by in corpus (25)

• Berwald spacetimes and very special relativity
• Ultrarelativistic spinning objects in non-local ghost-free gravity
• Memory, Penrose Limits and the Geometry of Gravitational Shockwaves and Gyratons
• Kundt geometries and memory effects in the Brans-Dicke theory of gravity
• Randers pp-waves
• Exact Parallel Waves in General Relativity
• Kinetic Energy and Angular Momentum of Free Particles in the Gyratonic pp-Waves Space-times
• Gyratons in the Robinson-Trautman and Kundt classes
• Kundt spacetimes in the Einstein-Gauss-Bonnet theory
• Komar fluxes of circularly polarized light beams and cylindrical metrics
• Null shells: general matching across null boundaries and connection with cut-and-paste formalism
• Penrose junction conditions extended: impulsive waves with gyratons
• Kundt wave geometries in Eddington-inspired Born-Infeld gravity: New solutions and memory effects
• The type III stress-energy tensor: Ugly Duckling of the Hawking-Ellis classification
• Gravitomagnetism in the Lewis cylindrical metrics
• Completeness of general pp-wave spacetimes and their impulsive limit
• Non-linear Plane Gravitational Waves as Space-time Defects
• On the metrizability of $m$-Kropina spaces with closed null 1-form
• Energy-momentum and angular-momentum of a gyratonic pp-waves spacetime
• Exact gyratons in higher and infinite derivative gravity
• Solutions with pure radiation and gyratons in 3D massive gravity theories
• Analogy of space-time as an elastic medium -- Study of the perturbation tensor of the metric $h_{\mu \nu }$ through the prism of the analogy of the theory of elasticity -- Analysis and potential consequences
• Arising of trapped surfaces with non-trivial topology from colliding shock waves
• Analyzes of Algebraic Classification of Higher Dimensional Kundt Geometries with Large $D$ Method
• Exact pp-wave solutions in shift-symmetric higher-order scalar-tensor theories