English

$<\phi^2>$ in the Spacetime of a Cylindrical Black Hole

General Relativity and Quantum Cosmology 2015-06-25 v5

Abstract

The renormalised value of <ϕ2><\phi^2> is calculated for a massless, conformally coupled scalar field in the Hartle-Hawking vacuum state. This calculation is a first step towards the calculation of the gravitational back reaction of the field in a black cosmic string spacetime which is asymptotically anti-DeSitter and possesses a non constant dilaton field. It is found that the field is divergence free throughout the spacetime and attains its maximum value near the horizon.

Keywords

Cite

@article{arxiv.gr-qc/9804032,
  title  = {$<\phi^2>$ in the Spacetime of a Cylindrical Black Hole},
  author = {Andrew DeBenedictis},
  journal= {arXiv preprint arXiv:gr-qc/9804032},
  year   = {2015}
}

Comments

16 pages with AMS fonts. Update includes corrections as well as figure