Generalized twist deformations of Poincaré and Galilei Hopf algebras

The three new deformed Poincaré Hopf algebras are constructed with the use of twist procedure. The corresponding relativistic space-times providing the sum of canonical and Lie-algebraic type of noncommutativity are proposed. Finally, the nonrelativistic contraction limits to the corresponding Galilei Hopf algebras are performed.