Stress Tensor from the Trace Anomaly in Reissner-Nordstrom Spacetimes

Simple item page
dc.creatorAnderson, Paul R.
dc.creatorMottola, Emil
dc.creatorVaulin, Ruslan
dc.date2007-07-25
dc.date2007-07-25
dc.date.accessioned2026-07-07T11:18:06Z
dc.date.available2026-07-07T11:18:06Z
dc.descriptionThe effective action associated with the trace anomaly provides a general algorithm for approximating the expectation value of the stress tensor of conformal matter fields in arbitrary curved spacetimes. In static, spherically symmetric spacetimes, the algorithm involves solving a fourth order linear differential equation in the radial coordinate r for the two scalar auxiliary fields appearing in the anomaly action, and its corresponding stress tensor. By appropriate choice of the homogeneous solutions of the auxiliary field equations, we show that it is possible to obtain finite stress tensors on all Reissner-Nordstrom event horizons, including the extreme Q=M case. We compare these finite results to previous analytic approximation methods, which yield invariably an infinite stress-energy on charged black hole horizons, as well as with detailed numerical calculations that indicate the contrary. The approximation scheme based on the auxiliary field effective action reproduces all physically allowed behaviors of the quantum stress tensor, in a variety of quantum states, for fields of any spin, in the vicinity of the entire family (0 le Q le M) of RN horizons.
dc.description43 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0707.3751
dc.identifierhttp://arxiv.org/abs/0707.3751
dc.identifierPhys.Rev.D76:124028,2007
dc.identifierdoi:10.1103/PhysRevD.76.124028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193233
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleStress Tensor from the Trace Anomaly in Reissner-Nordstrom Spacetimes
dc.typetext

Files

Collections

arXiv