1996/08/08 by D. V. Gal'tsov, D.V. Gal’tsov, Gal'tsov, D. V. · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.gr-qc/9608021
A talk at the First Australasian Conference on General Relativity and Gravitation, Adelaide, February 12--17, 1996, to be published in the Proceedings
arxiv created 1996/08/08 · openalex publication_date 1996/08/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider dilaton--axion gravity interacting with p U(1) vectors (p=6 corresponding to N=4 supergravity) in four--dimensional spacetime admitting a non--null Killing vector field. It is argued that this theory exibits features of a ``square'' of vacuum General Relativity. In the three--dimensional formulation it is equivalent to a gravity coupled σ--model with the (4+2p)--dimensional target space SO(2,2+p)/(SO(2)× SO(2+p)). Kähler coordinates are introduced on the target manifold generalising Ernst potentials of General Relativity. The corresponding Kähler potential is found to be equal to the logarithm of the product of the four--dimensional metric component g00 in the Einstein frame and the dilaton factor, independently on presence of vector fields. The Kähler potential is invariant under exchange of the Ernst potential and the complex axidilaton field, while it undergoes holomorphic/antiholomorphic transformations under general target space isometries. The ``square'' property is also manifest in the two--dimensional reduction of the theory as a matrix generalization of the Kramer--Neugebauer map.