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〈φ2〉 in the Spacetime of a Cylindrical Black Hole

1998/04/30 by Andrew DeBenedictis
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmic censorship hypothesis #Cosmological constant #Cosmology and Gravitation Theories #Dilaton #Gravitation #Mathematical physics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Scalar field #Schwarzschild radius #Spacetime #Theoretical physics #Vacuum polarization #de Sitter–Schwarzschild metric #gr-qc

paper · pdf · doi:10.1023/a:1026734521256

published as Gen.Rel.Grav. 31 (1999) 1549 · 16 pages with AMS fonts. Update includes corrections as well as figure

arxiv created 1998/04/30 · openalex publication_date 1999/10/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The renormalised value of <ϕ2> 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.

Citations