Non-extremal Localised Branes and Vacuum Solutions in M-Theory

TL;DR

This paper constructs non-extremal localized p-brane solutions in M-theory using an algebraic approach, showing they derive from extremal solutions via superposition of vacuum deformations, including solutions with irrational harmonic powers.

Contribution

It introduces a novel algebraic method to generate non-extremal localized brane solutions from extremal ones in M-theory.

Findings

Non-extremal solutions are obtained from extremal solutions.

Solutions involve superpositions of vacuum functions.

Includes vacuum solutions with irrational harmonic powers.

Abstract

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.