Gravitational radiation from the proper quadrupole momentum variation of asymmetric anticollapsar, which is a model of white and grey holes, is considered within the framework of general relativity. In the white hole model (and grey hole at the anticollapsing stage) in extended space-time manifolds the power of gravitational radiation may attain very high values and can serve as possible source of gravitational wave bursts from Supernova 1987A as well as in Weber's experiments. The correlation between gravitational bursts and bursts of electromagnetic radiation and some features of the latter can be an evidence of such model.