Trace Anomalies and the Hawking Effect

  title={Trace Anomalies and the Hawking Effect},
  author={Steven M. Christensen and Stephen A. Fulling},
  journal={Physical Review D},
The general spherically symmetric, static solution of ∇νTμν = 0 in the exterior Schwarzschild metric is expressed in terms of two integration constants and two arbitrary functions, one of which is the trace of Tμν. One constant is the magnitude of Ttr at infinity, and the other is determined if the physically normalized components of Tμν are finite on the future horizon. The trace of the stress tensor of a conformally invariant quantum field theory may be nonzero (anomalous), but must be… 

Figures and Tables from this paper

Stress tensors for instantaneous vacua in dimensions

The regularized expectation value of the stress - energy tensor for a massless bosonic or fermionic field in 1 + 1 dimensions is calculated explicitly for the instantaneous vacuum relative to any

Stress tensor from the trace anomaly in Reissner-Nordström spacetimes

The 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

Macroscopic effects of the quantum trace anomaly

The low energy effective action of gravity in any even dimension generally acquires nonlocal terms associated with the trace anomaly, generated by the quantum fluctuations of massless fields. The

Effective Tolman temperature induced by trace anomaly

Despite the finiteness of stress tensor for a scalar field on the four-dimensional Schwarzschild black hole in the Israel–Hartle–Hawking vacuum, the Tolman temperature in thermal equilibrium is

Hawking radiation and conformal anomalies in two-dimensional AdS spacetimes

The Hawking radiation is one of most interesting known effects of black hole physics. Since its discovery in 1974 by Hawking, this phenomenon has been an object of study of great interest. Despite

Effective action and Hawking flux from covariant perturbation theory

Abstract.The computation of the radiation flux related to the Hawking temperature of a Schwarzschild black hole or another geometric background is still well-known to be fraught with a number of

Two-Point Metric Perturbations in de Sitter

In this chapter we derive the full two-point quantum metric perturbations on a de Sitter background including one-loop corrections from conformal fields. We do the calculation using the CTP effective

Quantum field backreaction corrections and remnant stable evaporating Schwarzschild-de Sitter dynamical black hole

Time-dependent backreaction corrections of the renormalized expectation value of the stress-energy tensor operator of a massless quantum scalar field, minimally coupled, in the two-dimensional

Renormalizable conformally invariant model for the gravitational field

We develop a model for the gravitational field which is renormalizable, conformally invariant and integrable in four dimensions. The first two conditions can be easily implemented. However, for the