Affiliation:
1. Departament de Matemàtica, Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, Catalonia, Spain
Abstract
In this work, we study the existence of horizons in circular accelerated motions and its consequences. One particular case is the existence of two horizons in any uniform circular motion. The radiation of the Poincaré invariant vacuum is related to the spontaneous breakdown of the conformal symmetry in Quantum Field Theory The main consequence of the existence of these horizons is the Unruh radiation coming from such horizons. This consequence allows us to study the possible experimental detection of the Unruh radiation in such motions. The radiation of the Poincaré invariant vacuum is related to the spontaneous breakdown of the conformal symmetry in Quantum Field Theory. This radiation is associated with an effective temperature that can be detected using an Unruh–DeWitt detector. In fact, this effective temperature at the relativistic limit depends linearly with respect to the proper acceleration. However, in general, this dependence is not linear, contrary of what happens in the classical Unruh effect. In the relativistic limit and high density case, the uniform circular motion becomes a rotating black hole. This allows for future studies of pre-black hole configurations.
Funder
Agencia Estatal de Investigación
AGAUR
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference38 articles.
1. Notes on black hole evaporation;Unruh;Phys. Rev.,1976
2. Nonuniqueness of Canonical Field Quantization in Riemannian Space-Time;Fulling;Phys. Rev.,1973
3. Scalar production in Schwarzschild and Rindler metrics;Davies;J. Phys.,1975
4. Birrell, N.D., and Davies, P.C.W. (1984). Cambridge Monographs on Mathematical Physics, Cambridge University Press.
5. Statistical-mechanical theory of irreversible processes. I. General theory and simple applications to magnetic and conduction problems;Kubo;J. Phys. Soc. Jpn.,1957