We construct gravitational non-relativistic brane solutions of type IIA/IIB
string theories and M-theory and their near-horizon geometries. The
non-relativistic M2 and M5-brane metrics have Schroedinger symmetries with
dynamical exponent z=3/2 and z=3, respectively, whereas the known D3-brane
solution has z=2. The non-relativistic D-brane, NS5-brane, F-string and KK
monopole metrics have asymptotically space and time translations, space
rotations, Galilean symmetries and a particle number symmetry. We construct two
different gravitational backgrounds of a non-relativistic D1-D5 system, both
having asymptotically Schroedinger symmetry with exponent z=2. We study the
properties of the solutions and their phase diagram.Comment: 24 pages, harvmac; minor corrections, references adde