Gravitational acceleration: \(\vec{g}=-\nabla\phi=-\frac{d\phi}{dr}\vec{e}_r\) Finite \(g\) in \(r=0\) demands \(K_1=0.\). Assume that the mass distribution has a radius \(R.\) Demand continuous potential at \(r=R.\)
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© 2009 Springer Science+Business Media, LLC
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Grøn, Ø. (2009). Schwarzschild’s Interior Solution. In: Lecture Notes on the General Theory of Relativity. Lecture Notes in Physics, vol 772. Springer, New York, NY. https://doi.org/10.1007/978-0-387-88134-8_10
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DOI: https://doi.org/10.1007/978-0-387-88134-8_10
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