the simple case of the internal Schwarzschild spacetime with uniform distribution of energy density (but a nontrivial pressure profile) and isotropic and uniform distribution of local neutrino luminosity, when all the calculations can be realized in terms of elementary functions only (see [@Stu-Tor-Hle-Urb:2009:]). [^2] The influence on the neutrino luminosity of the star is given by a luminosity trapping coefficient relating the total number of trapped neutrinos and the total number of radiated neutrinos (per unit time of distant observers). The influence on the cooling process is given by two “cooling” trapping coefficients: a “local” one given by ratio of trapped and radiated neutrinos at any radius where the trapping occurs, and the “global” one giving ratio of trapped and radiated neutrinos (per unit time of distant observers) integrated over whole the region where the trapping occurs.

In the present paper we study the role of the braneworld “tidal charge” parameter on the existence of ECS and estimate its role in the efficiency of the neutrino trapping process using the same trapping coefficients as those introduced in [@Stu-Tor-Hle-Urb:2009:]. We consider the trapping effect in the simple case of objects with uniform distribution of energy density. The external field is given 