Laplace–Beltrami operator and exact solutions for branes

A.A. Zheltukhin
2013 Nuclear Physics B  
Proposed is a new approach to finding exact solutions of nonlinear p-brane equations in D-dimensional Minkowski space based on the use of various initial value constraints. It is shown that the constraints Δ^(p)x⃗=0 and Δ^(p)x⃗=-Λ(t,σ^r)x⃗ give two sets of exact solutions.
doi:10.1016/j.nuclphysb.2012.10.013 fatcat:qxkuq6l4dffkzgy2bx6v75urkq