Exact physical Maxwell-Einstein Tolman-VII solution and its use in stellar models

Details Exact physical Maxwell-Einstein Tolman-VII solution and its use in stellar models Exact physical Maxwell-Einstein Tolman-VII solution and its use in stellar models

Feb 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012ap%26ss.tmp...53k&link_type=abstract

Astrophysics and Space Science, Online First

Astronomy and Astrophysics

Astrophysics

Exact Solutions, Charged Fluids, Reissner-Nordstrom, Perfect Fluid Ball, General Relativity

Scientific paper

We derive an exact Maxwell-Einstein metric for a spherically symmetric static perfect fluid with mass and charge (Q), that electrifies the Tolman-VII metric and meets applicable physical boundary conditions. We show that there is more than one way to electrify any Q=0 metric, depending on whether metric component g tt , g rr , or neither, is independent of Q. We illustrate an approach not yet in the literature in which g rr is independent of Q. When applied to a baryonic stellar model, this metric is versatile, capable of producing a range of values for radius, mass, Q, and far-field mass due to the presence of charge.

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