Quantum scalar field in D-dimensional static black hole space-times

Details Quantum scalar field in D-dimensional static black hole space-times Quantum scalar field in D-dimensional static black hole space-times

1999-01-13

arxiv.org/abs/gr-qc/9901036v1

J.Math.Phys. 40 (1999) 5106-5116

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTex

Scientific paper

An Euclidean approach for investigating quantum aspects of a scalar field living on a class of D-dimensional static black hole space-times, including the extremal ones, is reviewed. The method makes use of a near horizon approximation of the metric and $\zeta$-function formalism for evaluating the partition function and the expectation value of the field fluctuations $<\phi^2(x)>$. After a review of the non-extreme black hole case, the extreme one is considered in some details. In this case, there is no conical singularity, but the finite imaginary time compactification introduces a cusp singularity. It is found that the $\zeta$-function regularized partition function can be defined, and the quantum fluctuations are finite on the horizon, as soon as the cusp singularity is absent, and the corresponding temperature is T=0.

Affiliated with

Also associated with

No associations

Rating

Quantum scalar field in D-dimensional static black hole space-times 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 Quantum scalar field in D-dimensional static black hole space-times, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum scalar field in D-dimensional static black hole space-times will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-559654