Rotating Cylinders with Anisotropic Fluids in General Relativity

We consider anisotropic fluids with directional pressures pi = wiρ (ρ is the density, wi = const, i = 1, 2, 3) as sources of gravity in stationary cylindrically symmetric space-times. We describe a general way of obtaining exact solutions with such sources, where the main features are splitting of the Ricci tensor into static and rotational parts and using the harmonic radial coordinate. Depending on the values of wi, it appears possible to obtain general or special solutions to the Einstein equations, thus recovering some known solutions and finding new ones. Three particular examples of exact solutions are briefly described: with a stiff isotropic perfect fluid (p = ρ), with a distribution of cosmic strings of azimuthal direction (i.e., forming circles around the z axis), and with a stationary combination of two opposite radiation flows along the z axis. © 2019, Pleiades Publishing, Ltd.

Authors
Number of issue
2
Language
English
Pages
122-130
Status
Published
Volume
25
Year
2019
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
  • 2 Center for Gravitation and Fundamental Metrology, VNIIMS, Moscow, 119361, Russian Federation
  • 3 National Research Nuclear University “MEPhI” (Moscow Engineering Physics Institute), Moscow, Russian Federation
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38686/