Exact General Relativistic Discs and the Advance of Perihelion

Abstract

The advance of perihelion for geodesic motion on the galactic plane of some exact general relativistic disc solutions is calculated. Approximate analytical and numerical results are presented for the static Chazy-Curzon and the Schwarzschild discs in Weyl coordinates, the Schwarzschid disc in isotropic coordinantes and the stationary Kerr disc in the Weyl-Lewis-Papapetrou metrics. It is found that for these disc models the advance of perihelion may be an increasing or decreasing function of the orbital excentricity. The precession due to Newtonian gravity for these disc models is also calculated.

11 pages, 8 figures

References in corpus (6)

• General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
• Exact General Relativistic Perfect Fluid Disks with Halos
• Relativistic Models of Galaxies
• Exact General Relativistic Thick Disks
• Periastron shift in Weyl class spacetimes
• New Models of General Relativistic Static Thick Disks

Cited by in corpus (5)

• Can environmental effects spoil precision gravitational-wave astrophysics?
• Weyl conformastatic perihelion advance of small body objects
• General formulae for the periapsis shift of a quasi-circular orbit in static spherically symmetric spacetimes and the active gravitational mass density
• Rotating black ring on Kaluza-Klein bubbles
• Extended mass and spheroidal deformation effects on epicyclic frequencies and periapsis shift in quasi-circular orbits