Equations of motion for the sources of asymptotically flat spaces
| Autor: | James Messmer, Robert W. Lind, Ezra T. Newman |
|---|---|
| Rok vydání: | 1972 |
| Předmět: |
Physics
General relativity n-body problem Equations of motion Classical field theory Statistical and Nonlinear Physics Introduction to the mathematics of general relativity symbols.namesake Mathematics of general relativity Classical mechanics Linearized gravity Mach's principle symbols Mathematical Physics |
| Zdroj: | Journal of Mathematical Physics. 13:1884-1891 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.1665927 |
| Popis: | We present an exact calculation that leads to the equations of motion (which naturally contain gravitational radiation reaction terms) of a system subject to no external forces. The novelty of our approach lies in the fact that the system is to be considered as the source of an asymptotically flat space and that all the revelant physical quantities such as the velocity νμ, 4‐momentum pμ, angular momentum‐center of mass tensor Sμν (as well as higher moments) are then defined in terms of surface integrals taken at infinity. A subset of the Einstein equations (equivalent to Bondi's supplemantary conditions) then yields the time‐evolution equations for these variables. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|