Plane fronted gravitational waves in Lovelock-Yang-Mills theory

Abstract

We obtain plane fronted gravitational waves (PFGWs) in arbitrary dimension in Lovelock gravity, to any order in the Riemann tensor. We exhibit pure gravity as well as Lovelock-Yang-Mills PFGWs. Lovelock-Maxwell and $pp$ waves arise as particular cases. The electrovac solutions trivially satisfy the Lovelock-Born-Infeld field equations. The peculiarities that arise in degenerate Lovelock theories are also analyzed.

11 pages

References in corpus (2)

• Born-Infeld Black Holes in (A)dS Spaces
• Exact Solutions of Lovelock-Born-Infeld Black Holes

Cited by in corpus (9)

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• Plane waves in metric-affine gravity
• On the energy transported by exact plane gravitational-wave solutions
• Gravitational waves in metric-affine gravity theory
• Kerr-Schild double copy for Kundt spacetimes of any dimension
• Lovelock vacua with a recurrent null vector field
• The curvature homogeneity bound for Lorentzian four-manifolds
• All non-expanding gravitational waves in $D$-dimensional (anti-)de Sitter space
• Gauge fields with vanishing scalar invariants