Summary
It is shown in the Rindler space-time and the η-ε space-time that there exists an intrinsic connection between the Unruh’s scheme and the Damour-Ruffini’s scheme dealing with the Hawking-Unruh effect. The analytic functions by Unruh to construct the Fock space can come from the analytic continuation of the Damour-Ruffini type. Both the Bogoliubov transformation method by Unruh and the analytic continuation method by Damour-Ruffini come to the same result. A pure ground-state analytic wave function defined on a connected complex manifold is a mixed thermal state on its real Lorentzian section separated into several regions, no matter what the boundaries of the regions may be, event horizons or infinite points.
Similar content being viewed by others
References
W. G. Unruh:Phys. Rev. D,14, 870 (1976).
N. D. Birrell andP. C. W. Davies:Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982), p. 110.
T. Damour andR. Ruffini:Phys. Rev. D,14, 332 (1976).
S. Sannan:Gen. Rel. Grav. 20, 239 (1988).
Zhao Zheng andDai Xian-Xing:Mod. Phys. Lett. A,7, 1771 (1992).
Zhao Zheng andLi Zhong-heng:Nuovo Cimento B,108, 785 (1993).
Y. X. Gui:Phys. Rev. D,42, 1988 (1990).
Y. X. Gui:Phys. Rev. D,45, 697 (1992).
Y. X. Gui:Phys. Rev. D,46, 1869 (1992).
Y. X. Gui: to be published inSci. China A.
Author information
Authors and Affiliations
Additional information
The authors of this paper have agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Zheng, Z., Yuan-xing, G. The connection between Unruh scheme and Damour-Ruffini scheme in rindler space-time and η-ε space-time. Nuov Cim B 109, 355–361 (1994). https://doi.org/10.1007/BF02722516
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02722516