scholarly journals The General Relativistic Two Body Problem and the Effective One Body Formalism

2014 ◽  
pp. 111-145 ◽  
Author(s):  
Thibault Damour
Keyword(s):  
Body Problem ◽  
Two Body Problem ◽  
General Relativistic

Fundamentals of numerical relativity for gravitational wave sources

Science ◽  
2018 ◽  
Vol 361 (6400) ◽  
pp. 366-371 ◽  
Author(s):  
Bernd Brügmann
Keyword(s):  
General Relativity ◽  
Partial Differential Equations ◽  
Gravitational Wave ◽  
Tensor Field ◽  
Body Problem ◽  
Numerical Relativity ◽  
Gravitational Interaction ◽  
Einstein Equations ◽  
Two Body Problem ◽  
General Relativistic

Einstein’s theory of general relativity affords an enormously successful description of gravity. The theory encodes the gravitational interaction in the metric, a tensor field on spacetime that satisfies partial differential equations known as the Einstein equations. This review introduces some of the fundamental concepts of numerical relativity—solving the Einstein equations on the computer—in simple terms. As a primary example, we consider the solution of the general relativistic two-body problem, which features prominently in the new field of gravitational wave astronomy.

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