Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cqgra...3..117m&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 3, Jan. 1, 1986, p. 117-131.
Astronomy and Astrophysics
Astrophysics
16
Astrophysics, Magnetic Stars, Relativity, Space-Time Functions, Coordinates, Einstein Equations, Electric Charge, Maxwell Equation, Universe
Scientific paper
Solutions of the Einstein-Maxwell equations are found for the spacetimes outside the mass distributions of circularly symmetric electrically charged or magnetic stars. The space of the electric solution is of finite area and homeomorphic to the surface of a crenellated conical spindle of finite length excluding the vertex and antivertex. When extrapolated to the case of a charged point mass, there are physical singularities (infinite curvatures at the origin and at the antipodal locus; these may be visualised in the spindle model as infinite crenellations at the vertex and antivertex. Halfway, in proper distance, between the origin (vertex) and its antipode (antivertex) is a Killing horizon which is a circle of reflection symmetry for the geometry of the vertex and antivertex halves of the manifold - the antivertex acting as if an image change is located there. The total electrostatic energy diverges logarithmically. By contrast, the space of the magnetic solution is of infinite area with finite total magnetic energy. Comparisons of the magnetic solution with the (3+1) dimensional 'magnetic universe' solution and its generalisation to include matter are made and interpreted.
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