Physics
Scientific paper
Jan 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phla..134..343l&link_type=abstract
Physics Letters A, Volume 134, Issue 6, p. 343-350.
Physics
Scientific paper
Recently the Hauser-Ernst formalism has played an important role in the discussion of the Virasoro symmetry in the two-dimensional reduced gravity theory. In this Letter we generalize the Hauser-Ernst formalism to the Einstein abelian gauge field equations when the spacetime possesses two commuting Killing vectors. Using this formalism, it is effective to investigate the Kac-Moody symmetry and, in particular, the Virasoro symmetry, which can be used to induced new solutions from the old one. We then provide an example concerning the derivation of a six-parameter generalization of a three-parameter family of colliding wave solutions found by Ernst, García and Hauser.
Permanent address: Institute of Modern Physics, Northwest University, Xian, PR China.
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