  We derive and study the equations of motion of the Born-Infeld extension of
New Massive Gravity for globally and asymptotically (anti-)de Sitter spaces,
and show that the assumptions of the null-energy condition and holography (that
bounds the c-function) lead to two simple c-functions one of which is
equivalent to the c-function of Einstein's gravity. We also show that, at the
fixed point, the c-function gives the central charge of the Virasoro algebra
and the coefficient of the Weyl anomaly up to a constant.
