Thermal processes in ringholes

Ringholes are space-time tunnelings connecting two asymptotically flat regions by means of a throat with the topology of a torus. This paper considers the processes of semiclassical thermal emission from ringholes and the accretion of dark energy onto them by adapting the results previously obtained for wormholes to toroidal topology. It is shown that at or near the throat the ringholes can be characterized as a mixture of two thermal sources, one at positive temperature and the other at negative temperature which, respectively, emit usual black body radiation and phantomlike radiation, leading after completion of thermal emission to two possible limiting situations, one similar to a wormhole in that it behaves just like a diverging lens, and the other similar to a black hole in that it behaves only as a converging lens. These two limiting situations, though described at rather diverging sizes, are also the final consequences from the accretion processes of quintessential and phantom vacuum energies. Finally, a brief discussion is added on the ringhole thermodynamics and its associated laws which are nothing but the extension to toroidal geometry from the thermodynamic laws which were recently established for wormholes.