Statistics – Computation
Scientific paper
Sep 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvd..52.3432g&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 52, Issue 6, 15 September 1995, pp.3432-3439
Statistics
Computation
6
Exact Solutions, Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Classical And Semiclassical Techniques
Scientific paper
σ-model representation is derived for the Einstein-Maxwell-dilaton system with an arbitrary dilaton coupling constant in four-dimensional space-time admitting a Killing vector field. Target space is shown to possess a five-parameter isometry group for an arbitrary value of the dilaton coupling constant α. For α=0 it enlarges to a nine-parameter SU(2,1)×R generalizing Kinnersley group of the Einstein-Maxwell theory. For α= √3 hidden symmetry is realized by the eight-parameter group SL(3,R) corresponding to the vacuum five-dimensional Kaluza-Klein theory with two commuting Killing vectors. By direct computation of the target space Riemann tensor it is shown that, for any other value of α, target space is not a symmetric space. However, static truncations of the model are found to possess a symmetric target space for an arbitrary value of the dilaton coupling constant. Finite four-parameter symmetry transformations are derived for dilaton electrostatics and magnetostatics and their subclass preserving an asymptotic flatness is indicated. Electric and magnetic dilaton counterparts to static asymptotically flat vacuum solutions (Weyl class) are constructed.
Gal'tsov Dmitri V.
Garc'ía A. A.
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