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|Type:||Artigo de periódico|
|Title:||Exact general relativistic perfect fluid disks with halos|
|Abstract:||Using the well-known "displace, cut, and reflect" method used to generate disks from given solutions of Einstein's field equations, we construct static disks made of a perfect fluid based on vacuum Schwarzschild's solution in isotropic coordinates. The same method is applied to different exact solutions to Einstein's equations that represent static spheres of perfect fluids. We construct several models of disks with axially symmetric perfect fluid halos. All disks have some common features: surface energy density and pressure decrease monotonically and rapidly with the radius. As the "cut" parameter a decreases, the disks become more relativistic, with the surface energy density and pressure more concentrated near the center. Also, regions of unstable circular orbits are more likely to appear for high relativistic disks. Parameters can be chosen so that the sound velocity in the fluid and the tangential velocity of test particles in circular motion are less than the velocity of light. This tangential velocity first increases with radius and reaches a maximum.|
|Editor:||American Physical Soc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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