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Numerical Relativity: Solving Einstein's Equations on the Computer

- E. Gourgoulhon
- Physics
- 21 November 2011

Numerical relativity is one of the major fields of contemporary general relativity and is developing continually. Yet three years ago, no textbook was available on this subject. The first textbook… Expand

3+1 Formalism and Bases of Numerical Relativity

- E. Gourgoulhon
- Mathematics
- 6 March 2007

These lecture notes provide some introduction to the 3+1 formalism of general relativity, which is the foundation of most modern numerical relativity. The text is rather self-contained, with detailed… Expand

3+1 Formalism in General Relativity: Bases of Numerical Relativity

- E. Gourgoulhon
- Mathematics
- 29 February 2012

Basic Differential Geometry.- Geometry of Hypersurfaces.- Geometry of Foliations.- 3+1 decomposition of Einstein Equation.- 3+1 Equations for Matter and Electromagnetic Field.- Conformal… Expand

A 3+1 perspective on null hypersurfaces and isolated horizons

- E. Gourgoulhon, J. L. Jaramillo
- Physics
- 29 March 2005

Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity: 1. Method and tests

- E. Gourgoulhon, P. Grandclément, K. Taniguchi, J. Marck, S. Bonazzola
- Physics
- 13 July 2000

We present a numerical method to compute quasiequilibrium configurations of close binary neutron stars in the precoalescing stage. A hydrodynamical treatment is performed under the assumption that… Expand

Numerical approach for high precision 3D relativistic star models

- S. Bonazzola, E. Gourgoulhon, J. Marck
- Physics
- 9 March 1998

A multidomain spectral method for computing very high precision three-dimensional stellar models is presented. The boundary of each domain is chosen in order to coincide with a physical discontinuity… Expand

Axisymmetric rotating relativistic bodies: a new numerical approach for exact' solutions

- S. Bonazzola, J. Marck, M. Salgado, E. Gourgoulhon
- Physics
- 1993

A new set of equations and a new numerical method for computing stationary axisymmetric rapidly rotating star models within general relativity is presented. The source term of the gravitational field… Expand

Prospects for fundamental physics with LISA

- E. Barausse, E. Berti,
+318 authors M. Zumalacárregui - Physics, Education
- 27 January 2020

In this paper, which is of programmatic rather than quantitative nature, we aim to further delineate and sharpen the future potential of the LISA mission in the area of fundamental physics. Given the… Expand

GYOTO: a new general relativistic ray-tracing code

- F. Vincent, T. Paumard, E. Gourgoulhon, G. Perrin
- Physics
- 22 September 2011

GYOTO, a general relativistic ray-tracing code, is presented. It aims at computing images of astronomical bodies in the vicinity of compact objects, as well as trajectories of massive bodies in… Expand

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