Conformastatic disk-haloes in Einstein-Maxwell gravity

Abstract

We present a relativistic model describing a thin disk surrounded by a halo in presence of an electromagnetic field. The model is obtained by solving the Einstein-Maxwell equations on a particular conformastatic spacetime background and by using the distributional approach for the energy-momentum tensor. A class of solutions is obtained in which the gravitational and electromagnetic potentials are completely determined by a harmonic function only. A particular solution is given that is asymptotically flat and singularity-free, and satisfies all the energy conditions.

To be published in Physical Review D. Replaced with minor changes to match published version

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• Models of spherical shells as sources of Majumdar-Papapetrou type spacetimes
• Static Thin Disks with Haloes as Sources of Conformastatic Spacetimes
• Stability aspects of relativistic thin magnetized disks
• Exact relativistic models of perfect fluid disks in a magnetic field
• Analytical models of finite thin disks in a magnetic field
• Disk sources of the Kerr and Tomimatsu-Sato spacetimes: construction and physical properties
• General Relativistic Razor-Thin Disks with Magnetically Polarized Matter
• Variational thermodynamics of relativistic thin disks
• Test particles in a magnetized conformastatic spacetime
• Effective perihelion advance and potentials in a conformastatic background with magnetic field
• Sources of gravitational waves in asymptotically flat Einstein-Maxwell spacetime