arXiv subjects

Jerzy Matyjasek

Publications and source records attributed to Jerzy Matyjasek.

41 records · Page 3Linked to original sources

arXiv2002

Vacuum polarization in the spacetime of charged nonlinear black hole

Building on general formulas obtained from the approximate renormalized effective action, the approximate stress-energy tensor of the quantized massive scalar field with arbitrary curvature coupling in the spacetime of charged black hole being a solution of coupled equations of nonlinear electrodynamics and general relativity is constructed and analysed. It is shown that in a few limiting cases, the analytical expressions relating obtained tensor to the general renormalized stress-energy tensor evaluated in the geometry of the Reissner-Nordström black hole could be derived. A detailed numerical analysis with special emphasis put on the minimal coupling is presented and the results are compared with those obtained earlier for the conformally coupled field. Some novel features of the renormalized stress-energy tensor are discussed.

gr-qc↗

arXiv2000

Vacuum polarization of massive scalar fields in the spacetime of the electrically charged nonlinear black hole

The approximate renormalized stress-energy tensor of the quantized massive conformally coupled scalar field in the spacetime of electrically charged nonlinear black hole is constructed. It is achieved by functional differentiation of the lowest order of the DeWitt-Schwinger effective action involving coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficient $a_{3}.$ The result is compared with the analogous result derived for the Reissner-Nordström black hole. It is shown that the most important differences occur in the vicinity of the event horizon of the black hole near the extremality limit. The structure of the nonlinear black hole is briefly studied by means of the Lambert functions.

gr-qc↗

arXiv2000

Stress-energy tensor of neutral massive fields in the Reissner-Nordstrom spacetime

The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of the Schwinger-DeWitt effective action involving coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficient a_{3}, and restricting thus obtained general formulas to spacetimes with vanishing curvature scalar. For the massive scalar field with arbitrary curvature coupling our results reproduce those obtained previously by Anderson, Hiscock, and Samuel by means of 6-th order WKB approximation.

gr-qc↗

arXiv1998

_{ren}> of the quantized conformal fields in the Schwarzschild spacetime: Israel-Hartle-Hawking state

The renormalized expectation value of the stress-energy tensor of the conformally invariant massless field in the Israel-Hartle-Hawking state in the Schwarzschild spacetime is constructed. It is achieved through solving the conservation equation in conformal space and utilizing the regularity conditions in the physical metric. Specifically, the relation of the results of the present approach to the stress tensor constructed within the framework of the Hadamard renormalization is analysed. Finally, the semi-analytic models reconstructing the tangential component of the stress-energy tensor with the maximal deviation not exceeding 0.7% are constructed.

gr-qc↗

arXiv1998

$ _{ren}$ of the quantized fields in the Unruh state in the Schwarzschild spacetime

The renormalized expectation value of the stress energy tensor of the conformally invariant massless fields in the Unruh state in the Schwarzschild spacetime is constructed. It is achieved through solving the conservation equation in conformal space and utilizing the regularity conditions in the physical metric. The relations of obtained results to the existing approximations are analysed.

gr-qc↗