2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108672We study the possibility of occurrence of scalar hair with a non-canonical kinetic term for a static, spherically symmetric asymptotically flat black hole spacetime. We first obtain a general equation for this purpose and then consider various examples for the kinetic term $F(X)$ with $X=-{1\over{2}}\partial^μϕ\partial_μϕ$. Our study shows that for a tachyon field with a positive potential, which naturally arises in open string theory, asymptotically flat a static black hole solution does not exist.8 pages, LaTeX with elsart styleGeneral Relativity and Quantum Cosmologytext