186 citations · 806 across the 34 of their papers we have counts for
6 papers · 1 filter
Progress in relativistic gravitational theory using the inverse scattering method
G. Neugebauer, R. Meinel
The increasing interest in compact astrophysical objects (neutron stars, binaries, galactic black holes) has stimulated the search for rigorous methods, which allow a systematic ge…
Asymptotically flat solutions to the Ernst equation with reflection symmetry
R. Meinel, G. Neugebauer
It is shown that the class of asymptotically flat solutions to the axisymmetric and stationary vacuum Einstein equations with reflection symmetry of the metric is uniquely characte…
Solutions of Einstein's field equations related to Jacobi's inversion problem
R. Meinel, G. Neugebauer
A new class of exact solutions to the axisymmetric and stationary vacuum Einstein equations containing n arbitrary complex parameters and one arbitrary real solution of the axisymm…
General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
G. Neugebauer, R. Meinel
In a recent paper we presented analytic expressions for the axis potential, the disk metric, and the surface mass density of the global solution to Einstein's field equations descr…
Relativistically rotating dust
Gernot Neugebauer, Andreas Kleinwächter, Reinhard Meinel
Dust configurations play an important role in astrophysics and are the simplest models for rotating bodies. The physical properties of the general--relativistic global solution for…
Highly accurate calculation of rotating neutron stars: Detailed description of the numerical methods
M. Ansorg, A. Kleinwächter, R. Meinel
We give a detailed description of the recently developed multi-domain spectral method for constructing highly accurate general-relativistic models of rapidly rotating stars. For bo…