Brief Introduction to Numerical Relativity

Details Brief Introduction to Numerical Relativity Brief Introduction to Numerical Relativity

Apr 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aipc..758..193a&link_type=abstract

GRAVITATION AND COSMOLOGY: 2nd Mexican Meeting on Mathematical and Experimental Physics. AIP Conference Proceedings, Volume 758

Physics

2

General Relativity, Black Holes, Neutron Stars, Finite Difference Methods, Partial Differential Equations, Relativity And Gravitation, Physics Of Black Holes, Black Holes, Neutron Stars

Scientific paper

In this manuscript I give a brief introduction to the fundamental concepts behind the field of numerical relativity. I start by introducing the Cauchy problem and the 3+1 formalism. I discuss the constraint and evolution equations, gauge conditions and the problem of finding initial data. I also introduce some basic notions of finite differencing techniques for solving partial differential equations numerically. Finally I discuss some applications of numerical relativity to the study of black hole and neutron star spacetimes.

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