Rotating Cylinders with Anisotropic Fluids in General Relativity
- 2 Downloads
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.
Unable to display preview. Download preview PDF.
- 11.B. V. Ivanov, “The general double-dust solution,” grqc/0209032Google Scholar
- 24.K. A. Bronnikov, N. O. Santos, and Anzhong Wang, “Cylindrical systems in general relativity,” arXiv: 1901.06561.Google Scholar
- 27.K. A. Bronnikov and, V. G. Krechet, “Potentially observable cylindrical wormholes without exotic matter in GR,” arXiv: 1807.03641; Phys. Rev. D, to appear.Google Scholar
- 29.V. G. Krechet, Izvestiya Vuzov, Fiz., No. 10, 57 (2007).Google Scholar
- 32.G. Darmois, Mémorial des Sciences Mathematiques (Gauthier-Villars, Paris, 1927).Google Scholar