TL;DR
This paper extends supergravity solutions by showing that brane worldvolumes can be non-static Ricci-flat Lorentzian manifolds with parallel spinors, broadening the class of Ricci-flat branes beyond static cases.
Contribution
It demonstrates that the restriction to static spacetimes is unnecessary, providing new Ricci-flat brane solutions with non-static worldvolumes.
Findings
Existence of Ricci-flat Lorentzian branes with parallel spinors.
New Ricci-flat D3-brane solutions.
Generalization of previous static brane solutions.
Abstract
Certain supergravity solutions (including domain walls and the magnetic fivebrane) have recently been generalised by Brecher and Perry by relaxing the condition that the brane worldvolume be flat. In this way they obtain examples in which the brane worldvolume is a static spacetime admitting parallel spinors. In this note we simply point out that the restriction to static spacetimes is unnecessary, and in this way exhibit solutions where the brane worldvolume is an indecomposable Ricci-flat lorentzian manifold admitting parallel spinors. We discuss more Ricci-flat fivebranes and domain walls, as well as new Ricci-flat D3-branes.
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