Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-08-11
Phys.Rev. D68 (2003) 084010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 25 eps.figs, RevTex. Phys. Rev. D to appear
Scientific paper
10.1103/PhysRevD.68.084010
Using the well-known ``displace, cut and reflect'' method used to generate disks from given solutions of Einstein field equations, we construct static disks made of perfect fluid based on vacuum Schwarzschild's solution in isotropic coordinates. The same method is applied to different exactsolutions to the Einstein'sequations 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 pressures decrease monotonically and rapidly with radius. As the ``cut'' parameter $a$ decreases, the disks become more relativistic, with 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 then the velocity of light. This tangential velocity first increases with radius and reaches a maximum.
Letelier Patricio S.
Vogt Daniel
No associations
LandOfFree
Exact General Relativistic Perfect Fluid Disks with Halos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact General Relativistic Perfect Fluid Disks with Halos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact General Relativistic Perfect Fluid Disks with Halos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-694496