Extremely Compact Stars ( ECS ) contain trapped null geodesics .
When such objects enter the evolution period admitting geodetical motion of neutrinos , certain part of neutrinos produced in their interior will be trapped influencing their neutrino luminosity and thermal evolution .
We study neutrino trapping in the braneworld ECS , assuming uniform distribution of neutrino emissivity and massless neutrinos .
We give the efficiency of the neutrino trapping effects in the framework of the simple model of the internal spacetime with uniform distribution of energy density , and external spacetime described by the Reissner-Nordström geometry characterized by the braneworld “ tidal ” parameter b .
For b < 0 the external spacetime is of the black-hole type , while for b > 0 the external spacetime can be of both black-hole and naked-singularity type .
Then the ECS surface radius R can be located also above the unstable ( outer ) photon circular orbit .
Such basically new types of the spacetimes strongly alter the trapping phenomena as compared to the standard case of b = 0 .
It is shown that the neutrino trapping effects are slightly lowered by the presence of physically more plausible case of b < 0 , as compared to the standard internal Schwarzschild spacetime , while they can be magnified by positive tidal charges if b < 1 and lowered for b > 1 .
However , potential astrophysical relevance of the trapping phenomena is strongly enhanced for negative tidal charges enabling a significant enlargement of the ECS surface radius to values coherent with recent observations .

\PACS 95.30.Sf 04.50.Kd