In the present investigation flat rotational curves of the galaxies are
considered under the framework of brane-world models where the 4d effective
Einstein equation has extra terms which arise from the embedding of the 3-brane
in the 5d bulk. It has been shown here that these long range bulk
gravitational degrees of freedom can act as a mechanism to yield the observed
galactic rotation curves without the need for dark matter. The present model
has the advantage that the observed rotation curves result solely from
well-established non-local effects of gravitation, such as dark radiation and
dark pressure under a direct use of the condition of flat rotation curves and
does not invoke any exotic matter field.Comment: 7 Latex pages, 7 figures; Edited substantially with new figures and
references; Accepted for Mon. Not. R. Astron. So