Gyratons in the Robinson-Trautman and Kundt classes

Abstract

In our previous paper [Phys. Rev. D 89 (2014) 124029], cited as [1], we attempted to find Robinson-Trautman-type solutions of Einstein's equations representing gyratonic sources (matter field in the form of an aligned null fluid, or particles propagating with the speed of light, with an additional internal spin). Unfortunately, by making a mistake in our calculations, we came to the wrong conclusion that such solutions do not exist. We are now correcting this mistake. In fact, this allows us to explicitly find a new large family of gyratonic solutions in the Robinson-Trautman class of spacetimes in any dimension greater than (or equal to) three. Gyratons thus exist in all twist-free and shear-free geometries, that is both in the expanding Robinson-Trautman and in the non-expanding Kundt classes of spacetimes. We derive, summarize and compare explicit canonical metrics for all such spacetimes in arbitrary dimension.

arXiv comment12 pages, no figures, correction to our previous article Phys. Rev. D 89 (2014) 124029, arXiv:1406.0729. Reference [24] added in version 2, accepted for publication in Phys. Rev. D

References in corpus (17)

• Kundt Spacetimes
• Algebraic classification of higher dimensional spacetimes based on null alignment
• Robinson-Trautman spacetimes in higher dimensions
• Higher dimensional VSI spacetimes
• Gravitational field of a spinning radiation beam-pulse in higher dimensions
• General Kundt spacetimes in higher dimensions
• Gravitational field of relativistic gyratons
• Robinson-Trautman spacetimes with an electromagnetic field in higher dimensions
• Relativistic gyratons in asymptotically AdS spacetime
• Gyratonic pp-waves and their impulsive limit
• Gravitational field of charged gyratons
• Higher-dimensional Kundt waves and gyratons
• Electromagnetic fields with vanishing scalar invariants
• Static and radiating p-form black holes in the higher dimensional Robinson-Trautman class
• All solutions of Einstein's equations in 2+1 dimensions: $\Lambda$-vacuum, pure radiation, or gyratons
• Algebraic structure of Robinson-Trautman and Kundt geometries in arbitrary dimension
• Absence of gyratons in the Robinson-Trautman class

Cited by in corpus (7)

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• The type III stress-energy tensor: Ugly Duckling of the Hawking-Ellis classification
• Kundt wave geometries in Eddington-inspired Born-Infeld gravity: New solutions and memory effects
• Exact gyratons in higher and infinite derivative gravity
• Hyperverse, 5-dimensional gravity and multiverses as nested Gogberashvili shells
• Solutions with pure radiation and gyratons in 3D massive gravity theories