Entanglement entropy of local gravitational quenches

A bstract We study the time dependence of Rényi/entanglement entropies locally excited states created by fields with integer spins s ≤ 2 in 4 dimensions. For 0, 1 these are characterised localised energy densities a given width which travel as spherical wave at speed light. spin case, absence local gauge invariant stress tensor, we probe Kretschmann scalar and show they represent curvature consider reduced density matrix half space excitations develop methods include convenient choice to evaluate quenches enter region. In all cases, entanglement entropy grows saturates log 2. limit, tends zero, growth is determined order + polynomials ratio distance from co-dimension-2 entangling surface time. The corresponding can be organized terms their representations under SO(2) T × L symmetry preserved presence co-dimension surface. transforming scalars this symmetry, polynomial completely spin.