Higher dimensional cylindrical or Kasner type electrovacuum solutions

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Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer/Plenum Publishers

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We consider a dimensional Kasner type diagonal spacetime where metric functions depend only on a single coordinate and electromagnetic field shares the symmetries of spacetime. These solutions can describe static cylindrical or cosmological Einstein-Maxwell vacuum spacetimes. We mainly focus on electrovacuum solutions and four different types of solutions are obtained in which one of them has no four dimensional counterpart. We also consider the properties of the general solution corresponding to the exterior field of a charged line mass and discuss its several properties. Although it resembles the same form with four dimensional one, there is a difference on the range of the solutions for fixed signs of the parameters. General magnetic field vacuum solution are also briefly discussed, which reduces to Bonnor-Melvin magnetic universe for a special choice of the parameters. The Kasner forms of the general solution are also presented for the cylindrical or cosmological cases.

Açıklama

Anahtar Kelimeler

Cylindrical symmetry, Kasner solutions, Einstein-Maxwell solutions, Higher dimensions, Einstein-Maxwell Fields, Gravitational-Waves, General-Relativity, Magnetic Universe, Black-Holes, Canonical Quantization, Electromagnetic-Fields, Brane Inflation, Cosmic Strings, Kaluza-Klein

Kaynak

General Relativity and Gravitation

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

45

Sayı

11

Künye