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Two citations referenced by Wikipedia with respect to General Relativity models for spinless charged neutron stars, reference 2 - eq. 24, states that the Reissner-Nordstrom metric relativistic Einstein-Maxwell Gauss law for the electric system charge is:

[tex]Q(r) = \int_0^r 4 \pi j^0 e^{\frac{(\nu + \lambda)}{2}} dr[/tex]

However, according to reference 3 - eq. 5, the electric system charge is:

[tex]Q(r) = \frac{1}{r^2} \int_0^r 4 \pi r^2 \rho_{ch} e^{\frac{\lambda}{2}} dr[/tex]

What Einstein-Maxwell charge effects with respect to the metric components [tex]\nu[/tex] and [tex]\lambda[/tex] are these equations describing?

Why does the reference 2 equation have two metric components and the reference 3 equation has only one metric component?

Why is the reference 2 equation missing the [tex]r^2[/tex] dimensions?

And what are the International System of Units (S.I.) for [tex]j^0[/tex] and [tex]\rho_{ch}[/tex]?

Please post links to this thread for subject equations cross-reference.

Reference:

http://en.wikipedia.org/wiki/Reissner%E2%80%93Nordstr%C3%B6m_metric" [Broken]

http://arxiv.org/PS_cache/arxiv/pdf/0705/0705.2708v2.pdf" [Broken]

http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332004000200038" [Broken]

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# The Reissner-Nordstrom metric

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