Smarr's Formula in Eleven-Dimensional Supergravity

Understand

We examine the Smarr formula in eleven-dimensional spacetime compactified on a general six-dimensional, Ricci-flat manifold.

• We show that non-zero mass for smooth and horizonless solutions can only be provided by cohomology.
• Furthermore, we confirm the result that there are no solitons without topology and prove the fact that Chern-Simons terms in the mass formula only appear in order to generate a purely topological integral.