Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-21
Class.Quant.Grav. 13 (1996) 985-1006; Erratum-ibid. 14 (1997) 825
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, standard LaTex, no figures, final version containing the results following from Hessling's principle as they appeare
Scientific paper
10.1088/0264-9381/13/5/016
A weaker Haag, Narnhofer and Stein prescription as well as a weaker Hessling Quantum Equivalence Principle for the behaviour of thermal Wightman functions on an event horizon are analysed in the case of an extremal Reissner-Nordstr\"{o}m black hole in the limit of a large mass. In order to avoid the degeneracy of the metric in the stationary coordinates on the horizon, a method is introduced which employs the invariant length of geodesics which pass the horizon. First the method is checked for a massless scalar field on the event horizon of the Rindler wedge, extending the original procedure of Haag, Narnhofer and Stein onto the {\em whole horizon} and recovering the same results found by Hessling. Afterwards the HNS prescription and Hessling's prescription for a massless scalar field are analysed on the whole horizon of an extremal Reissner-Nordstr\"{o}m black hole in the limit of a large mass. It is proved that the weak form of the HNS prescription is satisfyed for all the finite values of the temperature of the KMS states, i.e., this principle does not determine any Hawking temperature. It is found that the Reissner-Nordstr\"{o}m vacuum, i.e., $T=0$ does satisfy the weak HNS prescription and it is the only state which satisfies weak Hessling's prescription, too. Finally, it is suggested that all the previously obtained results should be valid dropping the requirements of a massless field and of a large mass black hole.
No associations
LandOfFree
Wightman Functions' Behaviour on the Event Horizon of an Extremal Reissner-Nordström Black Hole does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wightman Functions' Behaviour on the Event Horizon of an Extremal Reissner-Nordström Black Hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wightman Functions' Behaviour on the Event Horizon of an Extremal Reissner-Nordström Black Hole will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-264467