Dynamics of Domains in NaNO 2 Crystals

The approximate renormalized one-loop effective action of the quantized massive scalar, spinor and vector field in a large mass limit, i.e., the lowest order of the DeWitt-Schwinger expansion involves the coincidence limit of the Hadamard-DeWitt coefficient a3. Building on this and using Wald's approach we shall construct the general expression describing entropy of the sphericallysymmetric static black hole being the solution of the semi-classical field equations. For the concrete case of the quantum-corrected Reissner-Nordström black hole this result coincides, as expected, with the entropy obtained by integration of the first law of black hole thermodynamics with a suitable choice of the integration constant. The case of the extremal quantum corrected black hole is briefly considered.

Section: Introductionmentioning

confidence: 99%

Entropy of quantum-corrected black holes

Matyjasek¹

2006

“…Unfortunately, all our current understanding of the stress-energy tensor of the quantized massless fields is limited to the static black holes described by the electric charge and the mass. Our results, however, may be of use in the linearized back reaction calculations [19,20]: the curved spacetime leads to the stress-energy tensor approximated by (9)(10)(11), which, in turn, modifies the background geometry.…”

mentioning

confidence: 87%

“…It has been shown that for both scalar and vector fields the approximation is reasonable. (Analytical approximation of tensor ∆ ν µ of the scalar field has been constructed in [9]). Unfortunately, as has been pointed out in Ref.…”

mentioning

confidence: 99%

Approximate stress-energy tensor of the massless spin-1/2field in Schwarzschild spacetime

Matyjasek

2005

The approximate stress-energy tensor of the conformally invariant massless spin-1/2 field in the Hartle-Hawking state in the Schwarzschild spacetime is constructed. It is shown that by solving the conservation equation in conformal space and utilizing the regularity conditions in a physical metric one obtains the stress-energy tensor that is in a good agreement with the numerical calculations.The back reaction of the quantized field upon the spacetime metric is briefly discussed. * Electronic address: matyjase@tytan.umcs.lublin.pl, jurek@kft.umcs.lublin.pl 1

“…[8,9] have been applied in the spactimes of the Reissner-Nordström [8] and dilaton black holes [16]. Various aspects of the backreaction problem have been studied in Refs.…”

Section: Introductionmentioning

confidence: 99%

Vacuum polarization of massive spinor and vector fields in the spacetime of a nonlinear black hole

Matyjasek

2007

Building on general formulas obtained from the approximate renormalized effective action, the stressenergy tensor of the quantized massive spinor and vector fields in the spacetime of the regular black hole is constructed. Such a black hole is the solution to the coupled system of nonlinear electrodynamics and general relativity. A detailed analytical and numerical analysis of the stress-energy tensor in the exterior region is presented. It is shown that for small values of the charge as well as large distances from the black hole the leading behavior of the stress-energy tensor is similar to that in the Reissner-Nordström geometry. Important differences appear when the inner horizon becomes close to the event horizon. A special emphasis is put on the extremal configuration and it is shown that the stress-energy tensor is regular inside the event horizon of the extremal black hole.