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58 papers · 1 filter
All analytic solutions for geodesic motion in axially symmetric space-times
J. Ospino, J. L. Hernandez-Pastora, L. A. Nunez
Recent observations of the orbits of star clusters around Sgr , imaging of black holes and gravitational waveforms of merging compact objects require a detailed understand…
The Bondi problem revisited: a spectral domain decomposition code
M. A. Alcoforado, W. O. Barreto, H. P. de Oliveira
We present a simple domain decomposition code based on the Galerkin-Collocation method to integrate the field equations of the Bondi problem. The algorithm is stable, exhibits expo…
New numerical framework for the generalized Baumgarte-Shapiro-Shibata-Nakamura formulation: The vacuum case for spherical symmetry
M. A. Alcoforado, R. F. Aranha, W. O. Barreto +1
Here we report a developed high performance and simplified version of the code denominated RIO, which can be easily extended, for the generalized BSSN formulation. We implement a c…
Acceptability Conditions and Relativistic Anisotropic Generalized Polytropes
Daniel Suárez-Urango, J. Ospino, Héctor Hernández +1
This paper explored the physical acceptability conditions for anisotropic matter configurations in General Relativity. The study considered a generalized polytropic equation of sta…
Multidomain Galerkin-Collocation method: spherical collapse of scalar fields II
M. A. Alcoforado, R. F. Aranha, W. O. Barreto +1
We follow the strategy initiated in Ref. [1] and proceed with the implementation of the Galerkin-Collocation domain decomposition (GCDD) applied to the dynamics of a spherical self…
Acceptability Conditions and Relativistic Barotropic Equations of State
Héctor Hernández, Daniel Suárez-Urango, Luis A. Núñez
We sketch an algorithm to generate exact anisotropic solutions starting from a barotropic EoS and setting an ansatz on the metric functions. To illustrate the method, we use a gene…