RT Journal Article
T1 Integrability formulation and bäcklund-transformations for gravitational-fields with symmetries
A1 Chinea Trujillo, Francisco Javier
AB The Ernst equation for gravitational fields with a two-parameter isometry group is formulated as a vanishing-curvature condition on an SU(2) or SU(1,1) bundle, both in the elliptic and hyperbolic cases. Bäcklund transformations are introduced as a special case of gauge transformations, and strong Bäcklund transformations are obtained in that context.
PB Amer Physical Soc
SN 1550-7998
YR 1981
FD 1981
LK https://hdl.handle.net/20.500.14352/64980
UL https://hdl.handle.net/20.500.14352/64980
LA eng
NO 1. D. Maison, Phys. Rev. Lett. 41, 521 (1978);J. Math. Phys. 20, 871 (1979). 2. N, Papanicolaou, J. Math. Phys. 20, 2069 (1979). 3. F. J. Ernst, Phys. Rev. 167, 1175 (1968). 4. Equation (5) has been written as the integrability condition for a nonmanifestly group- covariant linear system in G. Neugebauer, Phys. Lett. 75A, 259 (1980). 5. M. Crampin, Phys. Lett. 66A, 170 (1978). 6. R. Sasaki, Nucl. Phys. B154, 343 (1979). 7. F. J. Chinea, J. Math. Phys. 21, 1588 (1980). 8. Bäcklund transformations for the Ernst equation (5) in the case τ_z ≠ 0 have been investigated in B. K. Harrison, Phys. Rev. Lett. 41, 1197 (1978); 41, 1835(E) (1978). 9. F. J. Chinea, Lett. Math. Phys. (to be published).
NO © American Physical Society
DS Docta Complutense
RD 4 may 2024