Relativistic Models of Galaxies
arXiv:astro-ph/0507406 · doi:10.1111/j.1365-2966.2005.09436.x
Abstract
A special form of the isotropic metric in cylindrical coordinates is used to construct what may be interpreted as the General Relativistic versions of some wellknown potential-density pairs used in Newtonian gravity to model three-dimensional distributions of matter in galaxies. The components of the energy-momentum tensor are calculated for the first two Miyamoto-Nagai potentials and a particular potential due to Satoh. The three potentials yield distributions of matter in which all tensions are pressures and all energy conditions are satisfied for certain ranges of the free parameters. A few non-planar geodesic orbits are computed for one of the potentials and compared with the Newtonian case. Rotation is also incorporated to the models and the effects of the source rotation on the rotation profile are calculated as first order corrections by using an approximate form of the Kerr metric in isotropic coordinates.
18 pages, 23 eps figures, uses mn2e.cls style file, to be published in MNRAS
References in corpus (19)
- General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
- Gravitating discs around black holes
- Exact General Relativistic Perfect Fluid Disks with Halos
- Rotating Relativistic Thin Disks
- Disc sources for Conformastationary metrics
- Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk
- Exact General Relativistic Disks with Magnetic Fields
- On the Stability of Circular Orbits of Particles Moving around Black Holes Surrounded by Axially Symmetric Structures
- Relativistic Static Thin Disks with Radial Stress Suport
- Relativistic Static Thin Disks: The Counter-Rotating Model
- Exact relativistic treatment of stationary counter-rotating dust disks III. Physical Properties
- Exact General Relativistic Thick Disks
- Exact relativistic treatment of stationary counter-rotating dust disks I: Boundary value problems and solutions
- On the stability of general relativistic geometric thin disks
- Exact Relativistic Static Charged Perfect Fluid Disks
- Electrovacuum Static Counterrotating Relativistic Dust Disks
- Electrovacuum Static Counter-Rotating Relativistic Dust Disks
- Harrison transformation of hyperelliptic solutions and charged dust disks
- On explicit solutions to the stationary axisymmetric Einstein-Maxwell equations describing dust disks
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- Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
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- Disk galaxy rotation curves and dark matter distribution
- Galactic Dynamics in General Relativity: the Role of Gravitomagnetism
- A thin disk in higher dimensional space-time and dark matter interpretation
- Newtonian and General Relativistic Models of Spherical Shells
- Orbital perturbations due to massive rings
- Stability of general relativistic static thick disks: the isotropic Schwarzschild thick disk
- Exact General Relativistic Discs and the Advance of Perihelion
- On Multipolar Analytical Potentials for Galaxies
- Gravito-electromagnetic Effects of Massive Rings
- Triaxial Analytical Potential-Density Pairs for Galaxies
- Orbit classification in a disk galaxy model with a pseudo-Newtonian central black hole
- Stability of general relativistic Miyamoto-Nagai galaxies
- Relativistic ring models
- Thin-disk models in an Integrable Weyl-Dirac theory
- Gravity with extra dimensions and dark matter interpretation: Phenomenological example via Miyamoto-Nagai galaxy
- Three-dimensional axisymmetric sources for Majumdar-Papapetrou type spacetimes
- Disk sources of the Kerr and Tomimatsu-Sato spacetimes: construction and physical properties
- Poisson type conformastat spherically symmetric anisotropic fluid spacetimes
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