Interpretation of twisting type N vacuum solutions with cosmological constant

DOI10.1088/0264-9381/30/7/075021zbMATH Open1266.83052arXiv1212.0138OpenAlexW3102996583MaRDI QIDQ4920211

Publication date: 16 May 2013

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: We investigate a new class of twisting type N vacuum solutions with nonzero (positive) cosmological constant Lambda by studying the equations of geodesic deviations along the privileged radial timelike geodesics, generalizing J. Bicak and J. Podolsky's results on non-twisting type N solutions. It is shown that these twisting radiative spacetimes can be interpreted as exact transverse gravitational waves propagating in the de-Sitter universe, with a distinctive feature that all the wave amplitudes are proportional to Lambda (dark energy/matter source coupling). Moveover, we demonstrate the cosmic no-hair conjecture in these spacetimes and discuss their Killing horizons.

Full work available at URL: https://arxiv.org/abs/1212.0138

zbMATH Keywords

timelike geodesics Killing horizons cosmic no-hair conjecture geodesic deviations twisting type \(N\) vacuum solutions

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Space-time singularities, cosmic censorship, etc. (83C75) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10) Gravitational waves (83C35)

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