The general relativistic balance of a spherically symmetric core-and-shell of charged perfect fluid
Date
1982
Authors
Churchill, Lorne Winston
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Abstract
In this thesis General Relativistic and Newtonian solutions are derived for a spherically symmetric core and shell of charged perfect fluid in balanced equilibrium. The Darmois junction conditions are imposed in order to prevent the occurrence of singular boundary surfaces in the solutions. This enables a simple, logical definition of balance for the system. Newtonian solutions are derived and these show that this system possesses more freedom than that of two balanced particles. No single balance condition is found. Relativistic solutions are derived and compared to the Newtonian system. It is found that the properties of the Relativistic case are similar to, but more restricted than, those of the Newtonian case.