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

Details $<φ^2>$ in the Spacetime of a Cylindrical Black Hole $<φ^2>$ in the Spacetime of a Cylindrical Black Hole

1998-04-13

arxiv.org/abs/gr-qc/9804032v5

Gen.Rel.Grav. 31 (1999) 1549

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

The renormalised value of $<\phi^2>$ 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.

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