General Relativistic Two-Body Problem: Theory and Experiment and the Role of Hidden Momentum

2015 ◽  
pp. 259-264
Author(s):  
R. F. O’Connell
Keyword(s):  
Body Problem ◽  
Two Body Problem ◽  
General Relativistic ◽  
Theory And Experiment

scholarly journals On the elliptic time in the adelic gravity

2016 ◽  
Vol 14 (3) ◽  
pp. 307-318
Author(s):  
George Shabat
Keyword(s):  
Elliptic Curves ◽  
Finite Order ◽  
Body Problem ◽  
Two Body Problem ◽  
Arithmetic Structures

The paper is devoted to the algebraic and arithmetic structures related to the two-body problem and discuss the possible generalizations. The role of the points of finite order on the elliptic curves is emphasized.

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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