  Many theories of BSM physics predict the existence of large or infinite
towers of decaying states. In a previous paper (arXiv:2111.04753) we pointed
out that this can give rise to a surprising cosmological phenomenon that we
dubbed "stasis" during which the relative abundances of matter and radiation
remain constant across extended cosmological eras even though the universe is
expanding. Indeed, such stasis epochs are universal attractors, with the
universe necessarily entering (and later exiting) such epochs for a wide
variety of initial conditions. Matter/radiation stasis is therefore an
important and potentially unavoidable feature of many BSM cosmologies. In this
paper we extend our arguments to universes containing significant amounts of
vacuum energy, and demonstrate that such universes also give rise to various
forms of stasis between vacuum energy and either matter or radiation. We also
demonstrate the existence of several forms of "triple stasis" during which the
abundances of matter, radiation, and vacuum energy all simultaneously remain
fixed despite cosmological expansion. We further describe several close
variants of stasis which we call "quasi-stasis" and "oscillatory stasis" and
discuss the circumstances under which each of these can arise. Finally, we
develop a general formalism for understanding the emergence of stasis within
BSM cosmologies irrespective of the number or type of different energy
components involved. Taken together, these results greatly expand the range of
theoretical and phenomenological possibilities for the physics of the early
universe, introducing new types of cosmological eras which may play an
intrinsic and potentially inevitable role within numerous BSM cosmologies.
