Sterile neutrinos are studied as subdominant contribution to solar neutrino
physics. The mirror-matter neutrinos are considered as sterile neutrinos. We
use the symmetric mirror model with gravitational communication between mirror
and visible sectors. This communication term provides mixing between visible
and mirror neutrinos with the basic scale mu=v^2/M_Pl=5*10^-6 eV, where v=174
GeV is the vacuum expectation value of the standard electroweak group and M_Pl
is the Planckian mass. It is demonstrated that each mass eigenstate of active
neutrinos splits into two states separated by small Delta m^2. Unsuppressed
oscillations between active and sterile neutrinos nu_a --> nu_s occur only in
transitions between each of these close pairs (``windows''). These oscillations
are characterized by very small Delta m^2 and can suppress the flux and distort
spectrum of pp-neutrinos in detectable way. The other observable effect is
anomalous seasonal variation of neutrino flux, which appears in LMA solution.
The considered subdominant neutrino oscillations nu_a nu_s can reveal
itself as big effects in observations of supernova neutrinos and high energy
(HE) neutrinos. In the case of HE neutrinos they can provide a very large
diffuse flux of active neutrinos unconstrained by the e-m cascade upper limit.Comment: 30 pags, 5 figs. V2: Refs added, minor editing. Accepted in NP