The complete Schwarzschild interior and exterior solution in the harmonic coordinate system

Details The complete Schwarzschild interior and exterior solution in the harmonic coordinate system The complete Schwarzschild interior and exterior solution in the harmonic coordinate system

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jmp....39.6086l&link_type=abstract

Journal of Mathematical Physics, Volume 39, Issue 11, pp. 6086-6090 (1998).

Mathematics

Mathematical Physics

5

Stellar Structure, Interiors, Evolution, Nucleosynthesis, Ages, Relativity And Gravitation, Exact Solutions

Scientific paper

An exact solution of Schwarzschild interior and exterior solution for a star which has a uniform density and whose center pressure approaches infinite, in the harmonic coordinate system, is given. This solution enables us to demonstrate that in known literatures, a term in the Schwarzschild exterior solution is usually ignored in such a system. Neglect of the term directly leads to contradiction of the continuity of the Schwarzschild interior and exterior solution expressed in the system.

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