Massive bosons interacting with gravity: No standard solutionsin Robertson-Walker space-time

摘要

The problem of the interaction of boson and gravitational field isformulated in the Robertson-Walker space-time. It consists in the simultaneous so-lution of the boson and of the Einstein field equation whose source is the energymomentum tensor of the boson field. By direct verification it is shown that the prob-lem does not admit solutions in the class of massive standard solutions, previouslydetermined, of the boson field equation. Also there cannot be solutions, in case ofmassive interacting boson, that are superpositions of standard solutions. The caseof massless boson field is left open. The result is essentially due to the very specialform of the Einstein tensor in Robertson-Walker metric.