Non-extremal Localised Branes and Vacuum Solutions in M-Theory
  Non-extremal overlapping p-brane supergravity solutions localised in their relative transverse coordinates are constructed. The construction uses an algebraic method of solving the bosonic equations of motion. It is shown that these non-extremal solutions can be obtained from the extremal solutions by means of the superposition of two deformation functions defined by vacuum solutions of M-theory. Vacuum solutions of M-theory including irrational powers of harmonic functions are discussed. 
I. Ya. Aref'eva, M. G. Ivanov, O. A. Rytchkov and I. V. Volovich