A new general covariant approach to the general relativistic two-body problem

1975 ◽  
Vol 6 (1) ◽  
pp. 67-70
Author(s):  
Arnold Rosenblum
Keyword(s):  
Body Problem ◽  
Covariant Approach ◽  
Two Body Problem ◽  
General Relativistic

scholarly journals A New General Covariant Approach to the General Relativistic Two-Body Problem

1974 ◽  
Vol 64 ◽  
pp. 102-102
Author(s):  
Arnold Rosenblum
Keyword(s):  
Gravitational Radiation ◽  
Body Problem ◽  
Equations Of Motion ◽  
Relativistic Effects ◽  
Covariant Approach ◽  
Two Body Problem ◽  
General Relativistic ◽  
Present Understanding ◽  
Relativistic Equations

A new general covariant approach to the general relativistic equations of motion is presented. It is stressed that our present understanding of the development of binaries due to general relativistic effects and of the power emitted by these systems in the form of gravitational radiation is highly unsatisfactory.

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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