activity
19952008
most cited3+1 Formalism and Bases of Numerical Relativity

231 citations · 787 across the 12 of their papers we have counts for

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Showing 2007Show all

5 papers · 1 filter

gr-qc20073 cited

Shells around black holes: the effect of freely specifiable quantities in Einstein's constraint equations

Keith Matera, Thomas W. Baumgarte, Eric Gourgoulhon

We solve Einstein's constraint equations in the conformal thin-sandwich decomposition to model thin shells of non-interacting particles in circular orbit about a non-rotating black…

gr-qc200717 cited

Trapping Horizons as inner boundary conditions for black hole spacetimes

J. L. Jaramillo, E. Gourgoulhon, I. Cordero-Carrion +1

We present a set of inner boundary conditions for the numerical construction of dynamical black hole space-times, when employing a 3+1 constrained evolution scheme and an excision…

astro-ph200719 cited

Strong first-order phase transition in a rotating neutron star core and the associated energy release

J. L. Zdunik, M. Bejger, P. Haensel +1

We calculate the energy release associated with a strong first-order phase transition, from normal phase N to an "exotic" superdense phase S, in a rotating neutron star. Such a pha…

gr-qc200737 cited

Construction of initial data for 3+1 numerical relativity

Eric Gourgoulhon

This lecture is devoted to the problem of computing initial data for the Cauchy problem of 3+1 general relativity. The main task is to solve the constraint equations. The conformal…

gr-qc2007231 cited

3+1 Formalism and Bases of Numerical Relativity

Eric Gourgoulhon

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-conta…