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Article overview
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Three dimensional stationary cyclic symmetric Einstein-Maxwell solutions; energy, mass, momentum, and algebraic tensors characteristics | Alberto A. Garcia-Diaz
; | Date: |
25 Jul 2013 | Abstract: | The main purpose of this contribution is to determine physical and
geometrical characterizations of whole classes of stationary cyclic symmetric
gravitational fields coupled to Maxwell electromagnetic fields within the
$(2+1)$-dimensional gravity. The physical characterization is based on the
determination of the local and global energy-momentum-mass quantities using the
Brown-York approach. As far as to the algebraic-geometrical characterization is
concerned, the eigenvalue problem for the electromagnetic field,
energy-momentum and Cotton tensors is solved and their types are established.
The families of Einstein-Maxwell solutions to be considered are: all uniform
electromagnetic solutions possessing electromagnetic fields with vanishing
covariant derivatives (stationary uniform and spinning Clement classes), all
fields having constant electromagnetic field and energy-momentum tensors’
invariants (Kamata-Koikawa solutions), the whole classes of hybrid
electromagnetic Ayon-Cataldo-Garcia solutions, a new family of stationary
electromagnetic solutions, the electrostatic and magnetostatic solutions with
Peldan limit, the Clement spinning charged metric, the
Martinez-Teitelboim-Zanelli black hole solution, and Dias-Lemos electromagnetic
solution. | Source: | arXiv, 1307.6652 | Services: | Forum | Review | PDF | Favorites |
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