Lax pairs for integrable lattice systems
This paper studies the structure of Lax pairs associated with integrable lattice systems (where space is a one-dimensional lattice, and time is continuous). It describes a procedure for generating exa...
This paper studies the structure of Lax pairs associated with integrable lattice systems (where space is a one-dimensional lattice, and time is continuous). It describes a procedure for generating exa...
Black hole interacting with matter as a simple dynamical system
Recently, a variational principle has been derived from Einstein–Hilbert and a matter Lagrangian for the spherically symmetric system of a dust shell and a black hole. The so-called physical regi...
Recently, a variational principle has been derived from Einstein–Hilbert and a matter Lagrangian for the spherically symmetric system of a dust shell and a black hole. The so-called physical regi...
Solutions of Penrose's equation
J. Math. Phys. 40, 309 (1999); doi:10.1063/1.532773
Issue Date: January 1999
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The computational use of Killing potentials which satisfy Penrose's equation is discussed. Penrose's equation is presented as a conformal Killing–Yano equation and the class of possible solutions is analyzed. It is shown that solutions exist in space–times of Petrov type O, D, or N. In the particular case of the Kerr background, it is shown that there can be no Killing potential for the axial Killing vector. ©1999 American Institute of Physics.
| History: | Received 21 July 1998; accepted 22 September 1998 |
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