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General Relativity and Gravitation

, Volume 31, Issue 11, pp 1783–1805 | Cite as

Spherically Symmetrical Models in General Relativity

  • H. Bondi
Article

Abstract

The field equations of general relativity areapplied to pressure-free spherically symmetrical systemsof particles. The equations of motion are determinedwithout the use of approximations and are compared with the Newtonian equations. The total energyis found to be an important parameter, determining thegeometry of 3-space and the ratio of effectivegravitating to invariant mass. The Doppler shift isdiscussed and is found to contain both the velocity shiftand the Einstein shift combined in a rather complexexpression.

Keywords

General Relativity Field Equation Differential Geometry Invariant Mass Doppler Shift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • H. Bondi

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