The static spherically symmetric interior case of the non-symmetric theory of gravitation
- 1 July 1989
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 6 (7) , 1003-1019
- https://doi.org/10.1088/0264-9381/6/7/007
Abstract
The field equations for a spherically symmetric perfect fluid in non-symmetric gravitational theory are cast as a set of first-order differential equations suitable for numerical integration. An analytic series solution is presented as an expansion around r=0. It is shows how interior solutions match with the exterior one and how, at the boundary, the Euler equation for the fluid becomes the equation of motion of a test particle in the exterior metric. An expression is derived from a conserved pseudotensor for the total mass-energy of a static body in terms of its interior matter parameters.Keywords
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