The static spherically symmetric interior case of the non-symmetric theory of gravitation

Details The static spherically symmetric interior case of the non-symmetric theory of gravitation The static spherically symmetric interior case of the non-symmetric theory of gravitation

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1003s&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, July 1, 1989, p. 1003-1019.

Physics

6

Cosmology, Gravitation Theory, Stellar Interiors, Differential Equations, Euler Equations Of Motion, Field Theory (Physics), Ideal Fluids, Lagrange Multipliers, Numerical Integration, Symmetry

Scientific paper

The field equations for a spherically symmetric perfect fluid in nonsymmetric gravitational theory (NGT) 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 shown 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.

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