7 citations · 16 across the 5 of their papers we have counts for
5 papers
CR Structures and Twisting Vacuum Spacetimes with Two Killing Vectors and Cosmological Constant: Type II and More Special
Xuefeng Zhang, Daniel Finley
Based on the CR formalism of algebraically special spacetimes by Hill, Lewandowski and Nurowski, we derive a nonlinear system of two real ODEs, of which the general solution determ…
Interpretation of twisting type N vacuum solutions with cosmological constant
Xuefeng Zhang, Daniel Finley
We investigate a new class of twisting type N vacuum solutions with nonzero (positive) cosmological constant Lambda by studying the equations of geodesic deviations along the privi…
Lower-order ODEs to determine new twisting type N Einstein spaces via CR geometry
Xuefeng Zhang, Daniel Finley
In the search for vacuum solutions, with or without a cosmological constant, of the Einstein field equations of Petrov type N with twisting principal null directions, the CR struct…
Solutions of the sDiff(2)Toda equation with SU(2) Symmetry
Daniel Finley, John K. McIver
We present the general solution to the Plebanski equation for an H-space that admits Killing vectors for an entire SU(2) of symmetries, which is therefore also the general solution…
Equations for Complex-Valued, Twisting, Type N, Vacuum Solutions, with one or two Killing/homothetic vectors
Daniel Finley
HH-spaces, i.e., complex spacetimes, of Petrov type NxN are determined by a trio of pde's for two functions, lambda and a, of three independent variables (and also two gauge functi…