Nonlinear gravitational waves and their polarization

Abstract

Vacuum gravitational fields invariant for a non Abelian Lie algebra generated by two Killing fields whose commutator is light-like are analyzed. It is shown that they represent nonlinear gravitational waves obeying to two nonlinear superposition laws. The energy and the polarization of this family of waves are explicitely evaluated.

9 pages. LateX. Minor corrections

References in corpus (1)

• Gravitational fields with a non Abelian bidimensional Lie algebra of symmetries

Cited by in corpus (13)

• The gravitational energy-momentum pseudo-tensor of Higher-Order Theories of Gravity
• Nonlinear Gravitational Waves: Their Form and Effects
• Spin-1 gravitational waves
• Spin-1 gravitational waves and their natural sources
• Energy-Momentum Complex in Higher Order Curvature-Based Local Gravity
• On boosted space-times with cosmological constant and their ultrarelativistic limit
• A Large N expansion for Gravity
• Geodesic deviation in pp-wave spacetimes of quadratic curvature gravity
• The gravity of light
• PP-waves, Israel's Matching conditions, Brane-world scenarios and BPS states in gravity
• Spin-1 gravitational waves. Theoretical and experimental aspects
• Hamilton-Jacobi equation and the breaking of the WKB approximation
• New Insights into the Nature of Nonlinear Gravitational Waves