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arXiv · 1610.08225

The gyraton solutions on generalized Melvin universe with cosmological constant

Hedvika Kadlecová·Pavel Krtouš
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Abstract

We present and analyze new exact gyraton solutions of algebraic type II on generalized Melvin universe of type D which admit non-vanishing cosmological constant $\Lambda$. We show that it generalizes both, gyraton solutions on Melvin and on direct product spacetimes. When we set $\Lambda = 0$ we get solutions on Melvin spacetime and for $\Sigma = 1$ we obtain solutions on direct product spacetimes. We demonstrate that the solutions are member of the Kundt family of spacetimes as its subcases. We show that the Einstein equations reduce to a set of equations on the transverse 2-space. We also discuss the polynomial scalar invariants which are non-constant in general but constant for sub-solutions on direct product spacetimes.

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Hedvika Kadlecová, Pavel Krtouš. 2016-10-26. The gyraton solutions on generalized Melvin universe with cosmological constant. https://arxiv.org/abs/1610.08225

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