Particle motion in circularly polarized vacuum pp waves

Autor:	Zhang, P-M., Elbistan, M., Horvathy, P. A.
Rok vydání:	2021
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6382/ac43d2
Popis:	Bialynicki-Birula and Charzynski argued that a gravitational wave emitted during the merger of a black hole binary may be approximated by a circularly polarized wave which may in turn trap particles [1]. In this paper we consider particle motion in a class of gravitational waves which includes, besides circularly polarized periodic waves (CPP) [2], also the one proposed by Lukash [3] to study anisotropic cosmological models. Both waves have a 7-parameter conformal symmetry which contains, in addition to the generic 5-parameter (broken) Carroll group, also a 6th isometry. The Lukash spacetime can be transformed by a conformal rescaling of time to a perturbed CPP problem. Bounded geodesics, found both analytically and numerically, arise when the Lukash wave is of Bianchi type VI. Their symmetries can also be derived from the Lukash-CPP relation. Particle trapping is discussed. Comment: 22 pages many figures. Thoroughly revised and extended version with a modified title
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.00838 Zobrazit plný text záznamu View this record from Arxiv